Mazzucchi, Sonia Mathematical theory of Feynman path integrals. (English) Zbl 07819348 Hilbert, Astrid (ed.) et al., Quantum and stochastic mathematical physics. Sergio Albeverio, adventures of a mathematician, Verona, Italy, March 25–29, 2019. Cham: Springer. Springer Proc. Math. Stat. 377, 147-171 (2023). MSC: 35C15 28C20 81Q05 PDFBibTeX XMLCite \textit{S. Mazzucchi}, Springer Proc. Math. Stat. 377, 147--171 (2023; Zbl 07819348) Full Text: DOI
Feldbrugge, Job; Turok, Neil Existence of real time quantum path integrals. (English) Zbl 1523.81119 Ann. Phys. 454, Article ID 169315, 31 p. (2023). MSC: 81S40 81Q30 19F27 81R30 34M60 28C20 83C45 PDFBibTeX XMLCite \textit{J. Feldbrugge} and \textit{N. Turok}, Ann. Phys. 454, Article ID 169315, 31 p. (2023; Zbl 1523.81119) Full Text: DOI arXiv
Ikeda, Mitsumasa; Yamagata, Yoriyuki; Kihara, Takayuki On the Metric Temporal Logic for Continuous Stochastic Processes. arXiv:2308.00984 Preprint, arXiv:2308.00984 [cs.LO] (2023). MSC: 03-08 28-08 28A33 60-08 60H10 60G17 60G40 60G44 BibTeX Cite \textit{M. Ikeda} et al., ``On the Metric Temporal Logic for Continuous Stochastic Processes'', Preprint, arXiv:2308.00984 [cs.LO] (2023) Full Text: arXiv OA License
Klauder, John R. A straight forward path to a path integration of Einstein’s gravity. (English) Zbl 1516.83021 Ann. Phys. 447, Part 1, Article ID 169148, 12 p. (2022). MSC: 83C45 81S40 28C20 81S08 70H45 65C05 PDFBibTeX XMLCite \textit{J. R. Klauder}, Ann. Phys. 447, Part 1, Article ID 169148, 12 p. (2022; Zbl 1516.83021) Full Text: DOI arXiv
Cho, Dong Hyun A translation of an analogue of Wiener space with its applications on their product spaces. (English) Zbl 1512.46030 Commun. Korean Math. Soc. 37, No. 3, 749-763 (2022). MSC: 46G12 28C20 46T12 PDFBibTeX XMLCite \textit{D. H. Cho}, Commun. Korean Math. Soc. 37, No. 3, 749--763 (2022; Zbl 1512.46030) Full Text: DOI
Jefferies, B. R. F. On Hilbert’s sixth problem. arXiv:2204.07257 Preprint, arXiv:2204.07257 [math-ph] (2022). MSC: 28B05 46G10 81S40 81T08 BibTeX Cite \textit{B. R. F. Jefferies}, ``On Hilbert's sixth problem'', Preprint, arXiv:2204.07257 [math-ph] (2022) Full Text: arXiv OA License
Le Donne, Enrico; Züst, Roger Space of signatures as inverse limits of Carnot groups. (English) Zbl 1494.22007 ESAIM, Control Optim. Calc. Var. 27, Paper No. 37, 14 p. (2021). Reviewer: Isamu Dôku (Saitama) MSC: 22E25 53C17 49Q15 28A75 60H05 PDFBibTeX XMLCite \textit{E. Le Donne} and \textit{R. Züst}, ESAIM, Control Optim. Calc. Var. 27, Paper No. 37, 14 p. (2021; Zbl 1494.22007) Full Text: DOI arXiv
Sampedro, Juan Carlos On the space of infinite dimensional integrable functions. (English) Zbl 1451.46041 J. Math. Anal. Appl. 488, No. 1, Article ID 124043, 27 p. (2020). MSC: 46G12 28C20 PDFBibTeX XMLCite \textit{J. C. Sampedro}, J. Math. Anal. Appl. 488, No. 1, Article ID 124043, 27 p. (2020; Zbl 1451.46041) Full Text: DOI
Kikukawa, Yoshio On the gauge-invariant path-integral measure for the overlap Weyl fermions in \(\underline{16}\) of SO(10). (English) Zbl 1477.81057 PTEP, Prog. Theor. Exper. Phys. 2019, No. 11, Article ID 113B03, 63 p. (2019). MSC: 81S40 28C05 83E15 17B69 81Q35 81R10 81T50 81R40 81S30 81V74 PDFBibTeX XMLCite \textit{Y. Kikukawa}, PTEP, Prog. Theor. Exper. Phys. 2019, No. 11, Article ID 113B03, 63 p. (2019; Zbl 1477.81057) Full Text: DOI arXiv
Bogdanskiĭ, Yu. V. Infinite-dimensional version of the Friedrichs inequality. (English. Russian original) Zbl 1437.58010 Ukr. Math. J. 70, No. 11, 1700-1709 (2019); translation from Ukr. Mat. Zh. 70, No. 11, 1476-1483 (2018). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 58C35 28C20 46G12 46T12 PDFBibTeX XMLCite \textit{Yu. V. Bogdanskiĭ}, Ukr. Math. J. 70, No. 11, 1700--1709 (2019; Zbl 1437.58010); translation from Ukr. Mat. Zh. 70, No. 11, 1476--1483 (2018) Full Text: DOI
Yaskov, Pavel Extensions of the sewing lemma with applications. (English) Zbl 1409.60088 Stochastic Processes Appl. 128, No. 11, 3940-3965 (2018). MSC: 60H05 28A25 60G17 60G22 PDFBibTeX XMLCite \textit{P. Yaskov}, Stochastic Processes Appl. 128, No. 11, 3940--3965 (2018; Zbl 1409.60088) Full Text: DOI arXiv
Albeverio, Sergio; Mazzucchi, Sonia A unified approach to infinite dimensional integrals of probabilistic and oscillatory type with applications to Feynman path integrals. (English) Zbl 1400.28023 Gesztesy, Fritz (ed.) et al., Non-linear partial differential equations, mathematical physics, and stochastic analysis. The Helge Holden anniversary volume on the occasion of his 60th birthday. Based on the presentations at the conference ‘Non-linear PDEs, mathematical physics and stochastic analysis’, NTNU, Trondheim, Norway, July 4–7, 2016. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-186-6/hbk; 978-3-03719-686-1/ebook). EMS Series of Congress Reports, 37-53 (2018). MSC: 28C20 28A25 81S40 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{S. Mazzucchi}, in: Non-linear partial differential equations, mathematical physics, and stochastic analysis. The Helge Holden anniversary volume on the occasion of his 60th birthday. Based on the presentations at the conference `Non-linear PDEs, mathematical physics and stochastic analysis', NTNU, Trondheim, Norway, July 4--7, 2016. Zürich: European Mathematical Society (EMS). 37--53 (2018; Zbl 1400.28023) Full Text: DOI
Guseynov, Yevgeniy Summability on non-rectifiable Jordan curves. (English) Zbl 1388.28009 Georgian Math. J. 25, No. 2, 249-258 (2018). MSC: 28C05 46E30 60G17 PDFBibTeX XMLCite \textit{Y. Guseynov}, Georgian Math. J. 25, No. 2, 249--258 (2018; Zbl 1388.28009) Full Text: DOI
Jefferies, Brian Singular bilinear integrals. (English) Zbl 1376.46001 Hackensack, NJ: World Scientific (ISBN 978-981-3207-57-8/hbk; 978-981-3207-59-2/ebook). xi, 240 p. (2017). Reviewer: Lluís Miquel García Raffi (València) MSC: 46-02 28-02 46G10 46G12 28B05 28C20 47A62 47A80 35P25 60J65 81S40 46N50 PDFBibTeX XMLCite \textit{B. Jefferies}, Singular bilinear integrals. Hackensack, NJ: World Scientific (2017; Zbl 1376.46001)
Cho, Dong Hyun Integral transforms on a function space with change of scales using multivariate normal distributions. (English) Zbl 1354.46046 J. Funct. Spaces 2016, Article ID 9235960, 9 p. (2016). MSC: 46G12 28C20 81S40 PDFBibTeX XMLCite \textit{D. H. Cho}, J. Funct. Spaces 2016, Article ID 9235960, 9 p. (2016; Zbl 1354.46046) Full Text: DOI
Albeverio, S.; Mazzucchi, S. A unified approach to infinite-dimensional integration. (English) Zbl 1339.28018 Rev. Math. Phys. 28, No. 2, Article ID 1650005, 43 p. (2016). MSC: 28C20 28C05 46G12 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{S. Mazzucchi}, Rev. Math. Phys. 28, No. 2, Article ID 1650005, 43 p. (2016; Zbl 1339.28018) Full Text: DOI
Cho, Dong Hyun Scale transformations for present position-dependent conditional expectations over continuous paths. (English) Zbl 1346.46038 Ann. Funct. Anal. 7, No. 2, 358-370 (2016). MSC: 46G12 28C20 46T12 PDFBibTeX XMLCite \textit{D. H. Cho}, Ann. Funct. Anal. 7, No. 2, 358--370 (2016; Zbl 1346.46038) Full Text: DOI Euclid
Albeverio, Sergio; Mazzucchi, Sonia An introduction to infinite-dimensional oscillatory and probabilistic integrals. (English) Zbl 1331.28028 Dalang, Robert C. (ed.) et al., Stochastic analysis: a series of lectures. Centre Interfacultaire Bernoulli, January–June 2012, École Polytechnique Fédérale Lausanne, Switzerland. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0908-5/hbk; 978-3-0348-0909-2/ebook). Progress in Probability 68, 1-54 (2015). MSC: 28C20 60G15 60B11 46G12 60-02 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{S. Mazzucchi}, Prog. Probab. 68, 1--54 (2015; Zbl 1331.28028) Full Text: DOI
Albeverio, Sergio; Mazzucchi, Sonia Infinite dimensional oscillatory integrals as projective systems of functionals. (English) Zbl 1334.28024 J. Math. Soc. Japan 67, No. 4, 1295-1316 (2015). Reviewer: Kun Soo Chang (Seoul) MSC: 28C05 28C20 35C15 35Q41 46M10 60B11 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{S. Mazzucchi}, J. Math. Soc. Japan 67, No. 4, 1295--1316 (2015; Zbl 1334.28024) Full Text: DOI Euclid
Montaldi, J.; Smolyanov, O. G. Transformations of measures via their generalized densities. (English) Zbl 1322.46029 Russ. J. Math. Phys. 21, No. 3, 379-385 (2014). Reviewer: Hans Weber (Udine) MSC: 46G12 28B05 46T12 PDFBibTeX XMLCite \textit{J. Montaldi} and \textit{O. G. Smolyanov}, Russ. J. Math. Phys. 21, No. 3, 379--385 (2014; Zbl 1322.46029) Full Text: DOI
Koch, Ronald; Nasrabadi, Ebrahim Continuous-time dynamic shortest path problems with negative transit times. (English) Zbl 1331.90089 SIAM J. Control Optim. 52, No. 4, 2449-2481 (2014). MSC: 90C35 05C21 28A25 49J27 49K27 90C49 PDFBibTeX XMLCite \textit{R. Koch} and \textit{E. Nasrabadi}, SIAM J. Control Optim. 52, No. 4, 2449--2481 (2014; Zbl 1331.90089) Full Text: DOI
Burgin, M. Functional integrals, path integrals and the theory of hyperintegration. (English) Zbl 1330.46072 Integr., Math. Theory Appl. 3(2012), No. 3, 269-304 (2013). Reviewer: Gert Roepstorff (Aachen) MSC: 46T12 81S40 46G12 28C20 58D30 PDFBibTeX XMLCite \textit{M. Burgin}, Integr., Math. Theory Appl. 3, No. 3, 269--304 (2013; Zbl 1330.46072)
Choi, Jae Gil; Skoug, David; Chang, Seung Jun Generalized analytic Fourier-Feynman transform of functionals in a Banach algebra \(\mathcal F^{a,b}_{A_{1},A_{2}}\). (English) Zbl 1331.60095 J. Funct. Spaces Appl. 2013, Article ID 954098, 12 p. (2013). Reviewer: Sergey Ludkovsky (Moskva) MSC: 60H05 60G20 60B11 28C20 46G12 46T12 PDFBibTeX XMLCite \textit{J. G. Choi} et al., J. Funct. Spaces Appl. 2013, Article ID 954098, 12 p. (2013; Zbl 1331.60095) Full Text: DOI
Huang, Shih-Feng; Lee, Yuh-Jia; Shih, Hsin-Hung Path integral method for limiting distribution of an estimator arising from an AR(1)-process with a unit root. (English) Zbl 1284.28010 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 16, No. 4, Article ID 1350029, 15 p. (2013). MSC: 28C20 46G12 60H30 62E17 PDFBibTeX XMLCite \textit{S.-F. Huang} et al., Infin. Dimens. Anal. Quantum Probab. Relat. Top. 16, No. 4, Article ID 1350029, 15 p. (2013; Zbl 1284.28010) Full Text: DOI
Choi, Jae Gil; Chang, Seung Jun Note on generalized Wiener integrals. (English) Zbl 1286.28012 Arch. Math. 101, No. 6, 569-579 (2013). Reviewer: Kun Soo Chang (Seoul) MSC: 28C20 46G12 60G15 PDFBibTeX XMLCite \textit{J. G. Choi} and \textit{S. J. Chang}, Arch. Math. 101, No. 6, 569--579 (2013; Zbl 1286.28012) Full Text: DOI
Baker, R. L. An uncountable family of regular Borel measures on certain path spaces of Lipschitz functions with applications to Feynman-type path integrals. (English) Zbl 1244.26020 Int. J. Pure Appl. Math. 73, No. 1, 29-77 (2011). MSC: 26A99 28C05 28C15 28C20 60B05 81S40 PDFBibTeX XMLCite \textit{R. L. Baker}, Int. J. Pure Appl. Math. 73, No. 1, 29--77 (2011; Zbl 1244.26020) Full Text: Link
Cho, Dong Hyun Evaluation formulas for an analogue of conditional analytic Feynman integrals over a function space. (English) Zbl 1233.28006 Bull. Korean Math. Soc. 48, No. 3, 655-672 (2011). Reviewer: Sobhakar Ganguly (Kolkata) MSC: 28C20 46T12 PDFBibTeX XMLCite \textit{D. H. Cho}, Bull. Korean Math. Soc. 48, No. 3, 655--672 (2011; Zbl 1233.28006) Full Text: DOI Link
Dudley, R. M.; Norvaiša, R. Concrete functional calculus. (English) Zbl 1218.46003 Springer Monographs in Mathematics. New York, NY: Springer (ISBN 978-1-4419-6949-1/hbk; 978-1-4419-6950-7/ebook). xii, 671 p. (2011). Reviewer: Peter Mathé (Berlin) MSC: 46-02 28-02 60G17 47H30 46G10 PDFBibTeX XMLCite \textit{R. M. Dudley} and \textit{R. Norvaiša}, Concrete functional calculus. New York, NY: Springer (2011; Zbl 1218.46003) Full Text: DOI
Ludkovsky, S. V. Feynman integration over octonions with application to quantum mechanics. (English) Zbl 1218.46024 Math. Methods Appl. Sci. 33, No. 9, 1148-1173 (2010). Reviewer: Kun Soo Chang (Seoul) MSC: 46G12 81S40 28C20 46F25 17A35 PDFBibTeX XMLCite \textit{S. V. Ludkovsky}, Math. Methods Appl. Sci. 33, No. 9, 1148--1173 (2010; Zbl 1218.46024) Full Text: DOI
Shavgulidze, E. T. The Thompson group \(F\) is amenable. (English) Zbl 1193.43002 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 12, No. 2, 173-191 (2009). Reviewer: Miroslav Engliš (Praha) MSC: 43A07 46G99 46T12 28C20 PDFBibTeX XMLCite \textit{E. T. Shavgulidze}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 12, No. 2, 173--191 (2009; Zbl 1193.43002) Full Text: DOI
DeWitt-Morette, C. An appetizer: a sampler of main courses. (English) Zbl 1178.81150 Janke, Wolfhard (ed.) et al., Path integrals. New trends and perspectives. Proceedings of the 9th international conference, Dresden, Germany, 23–28 September 2007. Hackensack, NJ: World Scientific (ISBN 978-981-283-726-4/hbk). 27-31 (2008). MSC: 81S40 28C20 PDFBibTeX XMLCite \textit{C. DeWitt-Morette}, in: Path integrals. New trends and perspectives. Proceedings of the 9th international conference, Dresden, Germany, 23--28 September 2007. Hackensack, NJ: World Scientific. 27--31 (2008; Zbl 1178.81150)
Albeverio, Sergio A.; Høegh-Krohn, Raphael J.; Mazzucchi, Sonia Mathematical theory of Feynman path integrals. An introduction. 2nd corrected and enlarged edition. (English) Zbl 1222.46001 Lecture Notes in Mathematics 523. Berlin: Springer (ISBN 978-3-540-76954-5/pbk). x, 176 p. (2008). Reviewer: Ludwig Streit (Bielefeld) MSC: 46-02 81-02 81S40 46G12 58D30 28C20 47N50 PDFBibTeX XMLCite \textit{S. A. Albeverio} et al., Mathematical theory of Feynman path integrals. An introduction. 2nd corrected and enlarged edition. Berlin: Springer (2008; Zbl 1222.46001) Full Text: DOI
Im, Man Kyu; Jefferies, Brian Feynman integral, aspect of Dobrakov integral. I. (English) Zbl 1132.28321 J. Korean Math. Soc. 44, No. 2, 477-486 (2007). MSC: 28C20 81S40 58D30 46G10 PDFBibTeX XMLCite \textit{M. K. Im} and \textit{B. Jefferies}, J. Korean Math. Soc. 44, No. 2, 477--486 (2007; Zbl 1132.28321) Full Text: DOI
Feyel, D.; Üstünel, A. S. Solution of the Monge-Ampère equation on Wiener space for general log-concave measures. (English) Zbl 1099.60042 J. Funct. Anal. 232, No. 1, 29-55 (2006). Reviewer: Alexandr B. Vasil’ev (Odessa) MSC: 60H07 46T12 28C20 46G12 PDFBibTeX XMLCite \textit{D. Feyel} and \textit{A. S. Üstünel}, J. Funct. Anal. 232, No. 1, 29--55 (2006; Zbl 1099.60042) Full Text: DOI
Schulman, Lawrence S. Techniques and applications of path integration. Reprint of the 1981 original. (English) Zbl 1141.28009 Mineola, NY: Dover Publications (ISBN 0-486-44528-3/pbk). xiii, 416 p. (2005). MSC: 28C20 81S40 28-02 81-02 58D30 PDFBibTeX XMLCite \textit{L. S. Schulman}, Techniques and applications of path integration. Reprint of the 1981 original. Mineola, NY: Dover Publications (2005; Zbl 1141.28009)
Haba, Z. Quantum field theory on manifolds with a boundary. (English) Zbl 1082.81064 J. Phys. A, Math. Gen. 38, No. 48, 10393-10401 (2005). Reviewer: Michael B. Mensky (Moskva) MSC: 81T20 81S40 28C05 46T12 PDFBibTeX XMLCite \textit{Z. Haba}, J. Phys. A, Math. Gen. 38, No. 48, 10393--10401 (2005; Zbl 1082.81064) Full Text: DOI arXiv
Albeverio, S.; Mazzucchi, S. Generalized Fresnel integrals. (English) Zbl 1096.28010 Bull. Sci. Math. 129, No. 1, 1-23 (2005). Reviewer: Sergey Lüdkovsky (Moskva) MSC: 28C20 35S30 44A15 81S40 58J37 28C05 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{S. Mazzucchi}, Bull. Sci. Math. 129, No. 1, 1--23 (2005; Zbl 1096.28010) Full Text: DOI
Kim, Young Sik Relationships between Fourier-Feynman transforms and Wiener integrals on abstract Wiener spaces. II. (English) Zbl 1072.28011 Integral Transforms Spec. Funct. 16, No. 1, 57-64 (2005). MSC: 28C20 46G12 81S40 PDFBibTeX XMLCite \textit{Y. S. Kim}, Integral Transforms Spec. Funct. 16, No. 1, 57--64 (2005; Zbl 1072.28011) Full Text: DOI
Simon, Barry Functional integration and quantum physics. 2nd ed. (English) Zbl 1061.28010 Providence, RI: AMS Chelsea Publishing (ISBN 0-8218-3582-3/hbk). xiv, 306 p. (2005). Reviewer: Gert Roepstorff (Aachen) MSC: 28C20 46N99 81P20 81S40 PDFBibTeX XMLCite \textit{B. Simon}, Functional integration and quantum physics. 2nd ed. Providence, RI: AMS Chelsea Publishing (2005; Zbl 1061.28010)
DeWitt, Bryce; DeWitt-Morette, Cécile From the Peierls bracket to the Feynman functional integral. (English) Zbl 1078.81026 Ann. Phys. 314, No. 2, 448-463 (2004). Reviewer: Yuri E. Gliklikh (Voronezh) MSC: 81Q30 28C05 46T12 PDFBibTeX XMLCite \textit{B. DeWitt} and \textit{C. DeWitt-Morette}, Ann. Phys. 314, No. 2, 448--463 (2004; Zbl 1078.81026) Full Text: DOI
LaChapelle, J. Path integral solution of linear second order partial differential equations. II: Elliptic, parabolic, and hyperbolic cases. (English) Zbl 1075.81044 Ann. Phys. 314, No. 2, 396-424 (2004). Reviewer: Michael B. Mensky (Moskva) MSC: 81S40 35-XX 28C20 PDFBibTeX XMLCite \textit{J. LaChapelle}, Ann. Phys. 314, No. 2, 396--424 (2004; Zbl 1075.81044) Full Text: DOI arXiv
LaChapelle, J. Path integral solution of linear second order partial differential equations. I: The general construction. (English) Zbl 1075.81043 Ann. Phys. 314, No. 2, 362-395 (2004). Reviewer: Michael B. Mensky (Moskva) MSC: 81S40 35-XX 28C20 PDFBibTeX XMLCite \textit{J. LaChapelle}, Ann. Phys. 314, No. 2, 362--395 (2004; Zbl 1075.81043) Full Text: DOI arXiv
Cho, Dong Hyun Conditional Fourier-Feynman transform and convolution product over Wiener paths in abstract Wiener space: An \(L_p\) theory. (English) Zbl 1040.28019 J. Korean Math. Soc. 41, No. 2, 265-294 (2004). MSC: 28C20 81S40 44A15 46G12 58D30 PDFBibTeX XMLCite \textit{D. H. Cho}, J. Korean Math. Soc. 41, No. 2, 265--294 (2004; Zbl 1040.28019) Full Text: DOI
Preiss, David Geometric measure theory in Banach spaces. (English) Zbl 1064.46068 Johnson, W. B. (ed.) et al., Handbook of the geometry of Banach spaces. Volume 2. Amsterdam: North-Holland (ISBN 0-444-51305-1/hbk). 1519-1546 (2003). Reviewer: Gilles Godefroy (Paris) MSC: 46T12 46T20 28A75 28A78 28C20 46G12 46-00 PDFBibTeX XMLCite \textit{D. Preiss}, in: Handbook of the geometry of Banach spaces. Volume 2. Amsterdam: North-Holland. 1519--1546 (2003; Zbl 1064.46068)
Lee, Yuh-Jia; Shih, Chen-Yuh The Riesz representation theorem on infinite dimensional spaces. (English) Zbl 1043.46030 Kuo, Hui-Hsiung (ed.) et al., Finite and infinite dimensional analysis in honor of Leonard Gross. Proceedings of the AMS special session on analysis on infinite dimensional spaces, New Orleans, LA, USA, January 12–13, 2001. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-2889-4/pbk). Contemp. Math. 317, 163-177 (2003). Reviewer: Kun Soo Chang (Seoul) MSC: 46G12 46T12 28C20 60B05 46F25 PDFBibTeX XMLCite \textit{Y.-J. Lee} and \textit{C.-Y. Shih}, Contemp. Math. 317, 163--177 (2003; Zbl 1043.46030)
Lee, Yuh-Jia; Shih, Chen-Yuh The Riesz representation theorem on infinite dimensional spaces and its applications. (English) Zbl 1072.46028 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 5, No. 1, 41-59 (2002). Reviewer: Thomas Kühn (Leipzig) MSC: 46G12 46T12 60B10 28C20 46A20 60H40 PDFBibTeX XMLCite \textit{Y.-J. Lee} and \textit{C.-Y. Shih}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 5, No. 1, 41--59 (2002; Zbl 1072.46028) Full Text: DOI
Chang, Kun Soo; Cho, Dong Hyun; Song, Teuk Seob; Yoo, Il Evaluation formulas for Fourier-Feynman transform over paths in abstract Wiener space. (English) Zbl 1040.28018 J. Interdiscip. Math. 5, No. 2, 143-164 (2002). MSC: 28C20 44A15 46G12 58D30 81S40 PDFBibTeX XMLCite \textit{K. S. Chang} et al., J. Interdiscip. Math. 5, No. 2, 143--164 (2002; Zbl 1040.28018) Full Text: DOI
Yoo, Il The analytic Feynman integral over paths in abstract Wiener space. III. (English) Zbl 1027.28019 Far East J. Appl. Math. 6, No. 3, 201-216 (2002). MSC: 28C20 46G12 81S40 PDFBibTeX XMLCite \textit{I. Yoo}, Far East J. Appl. Math. 6, No. 3, 201--216 (2002; Zbl 1027.28019)
Muldowney, P. An existence condition for Feynman integrals. (English) Zbl 1038.28012 Rev. Bull. Calcutta Math. Soc. 9, No. 1-2, 13-16 (2001). MSC: 28C20 81S40 PDFBibTeX XMLCite \textit{P. Muldowney}, Rev. Bull. Calcutta Math. Soc. 9, No. 1--2, 13--16 (2001; Zbl 1038.28012)
Kim, Young Sik Relationships between Fourier-Feynman transforms and Wiener integrals on abstract Wiener spaces. (English) Zbl 1020.28009 Integral Transforms Spec. Funct. 12, No. 4, 323-332 (2001). MSC: 28C20 46G12 81S40 PDFBibTeX XMLCite \textit{Y. S. Kim}, Integral Transforms Spec. Funct. 12, No. 4, 323--332 (2001; Zbl 1020.28009) Full Text: DOI
Johnson, G. W.; Park, Yeon-Hee Decomposing the disentangling algebra on Wiener space. (English) Zbl 1014.46014 Rocky Mt. J. Math. 31, No. 3, 1003-1021 (2001). Reviewer: Wojtek Slowikowski (Aarhus) MSC: 46G12 46T12 28C20 PDFBibTeX XMLCite \textit{G. W. Johnson} and \textit{Y.-H. Park}, Rocky Mt. J. Math. 31, No. 3, 1003--1021 (2001; Zbl 1014.46014) Full Text: DOI Link
Uglanov, A. V. Surface integrals in locally convex spaces. (English. Russian original) Zbl 1004.46049 Trans. Mosc. Math. Soc. 2001, 249-270 (2001); translation from Tr. Mosk. Mat. O.-va 62, 262-285 (2001). Reviewer: Hiroaki Shimomura (Kochi) MSC: 46T12 46G12 58C35 60H07 28B05 PDFBibTeX XMLCite \textit{A. V. Uglanov}, Trans. Mosc. Math. Soc. 2001, 249--270 (2001; Zbl 1004.46049); translation from Tr. Mosk. Mat. O.-va 62, 262--285 (2001)
Sankovich, D. P. Some properties of functional integrals with respect to the Bogoliubov measure. (English. Russian original) Zbl 1022.81028 Theor. Math. Phys. 126, No. 1, 121-135 (2001); translation from Teor. Mat. Fiz. 126, No. 1, 149-164 (2001). MSC: 81S40 35Q55 28C05 PDFBibTeX XMLCite \textit{D. P. Sankovich}, Theor. Math. Phys. 126, No. 1, 121--135 (2001; Zbl 1022.81028); translation from Teor. Mat. Fiz. 126, No. 1, 149--164 (2001) Full Text: DOI
Jefferies, Brian Integration structures for the operator-valued Feynman integral. (English) Zbl 1007.46062 J. Korean Math. Soc. 38, No. 2, 349-363 (2001). Reviewer: Valentin Zagrebnov (Marseille) MSC: 46N50 46T12 46G10 28B05 PDFBibTeX XMLCite \textit{B. Jefferies}, J. Korean Math. Soc. 38, No. 2, 349--363 (2001; Zbl 1007.46062)
Jefferies, Brian; Johnson, G. W.; Nielsen, Lance Feynman’s operational calculi for time dependent noncommuting operators. (English) Zbl 0984.47013 J. Korean Math. Soc. 38, No. 2, 193-226 (2001). Reviewer: F.H.Vasilescu (Villeneuve d’Ascq) MSC: 47A60 46T12 47N50 28A33 28A25 47A56 46J15 PDFBibTeX XMLCite \textit{B. Jefferies} et al., J. Korean Math. Soc. 38, No. 2, 193--226 (2001; Zbl 0984.47013)
Hu, Jihui; Ren, Jiagang Infinite dimensional quasi continuity, path continuity and ray continuity of functions with fractional regularity. (English) Zbl 0987.60063 J. Math. Pures Appl., IX. Sér. 80, No. 1, 131-152 (2001). Reviewer: Mihai Gradinaru (Nancy) MSC: 60H07 46G12 31C25 28C20 PDFBibTeX XMLCite \textit{J. Hu} and \textit{J. Ren}, J. Math. Pures Appl. (9) 80, No. 1, 131--152 (2001; Zbl 0987.60063) Full Text: DOI
Üstünel, Ali Süleyman; Zakai, Moshe Transformation of measure on Wiener space. (English) Zbl 0938.46045 Springer Monographs in Mathematics. Berlin: Springer. xiii, 297 p. DM 159.00; öS 1161.00; sFr. 144.00; £61.00; $ 96.00 (2000). Reviewer: D.R.Bell (Jacksonville) MSC: 46G12 46-02 28-02 60-02 60H05 60G15 60G30 28C20 60H25 60G35 46T12 60H07 PDFBibTeX XML
Haba, Z. Stochastic processes and the Feynman integral. (English) Zbl 0976.60098 Albeverio, S. (ed.) et al., Mathematical physics and stochastic analysis. Essays in honour of Ludwig Streit. Conference to celebrate Ludwig Streit’s 60th birthday, Lisbon, Portugal, October 1998. Singapore: World Scientific. 243-254 (2000). MSC: 60K40 28C20 81S40 PDFBibTeX XMLCite \textit{Z. Haba}, in: Mathematical physics and stochastic analysis. Essays in honour of Ludwig Streit. Conference to celebrate Ludwig Streit's 60th birthday, Lisbon, Portugal, October 1998. Singapore: World Scientific. 243--254 (2000; Zbl 0976.60098)
Johnson, G. W.; Johnson, Lisa Time maps in the study of Feynman’s operational calculus via Wiener and Feynman path integrals. (English) Zbl 0993.46054 Hida, Takeyuki (ed.) et al., Stochastics in finite and infinite dimensions. Conference in honor of Gopinath Kallianpur, Calcutta, India, December 18-23, 2000. Boston: Birkhäuser. 173-194 (2000). Reviewer: Yuri Kozitsky (Lublin) MSC: 46T12 46G12 28C20 81Q30 81S40 PDFBibTeX XMLCite \textit{G. W. Johnson} and \textit{L. Johnson}, in: Stochastics in finite and infinite dimensions. Conference in honor of Gopinath Kallianpur, Calcutta, India, December 18--23, 2000. Boston: Birkhäuser. 173--194 (2000; Zbl 0993.46054)
Park, Yeon-Hee Banach algebra of functionals over paths in abstract Wiener space. (English) Zbl 0972.28007 Commun. Korean Math. Soc. 15, No. 1, 77-90 (2000). Reviewer: Oleksandr Kukush (Kiev) MSC: 28C20 46G12 28B05 81S40 PDFBibTeX XMLCite \textit{Y.-H. Park}, Commun. Korean Math. Soc. 15, No. 1, 77--90 (2000; Zbl 0972.28007)
Deck, Thomas Hida distributions on compact Lie groups. (English) Zbl 0971.46028 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 3, No. 3, 337-362 (2000). Reviewer: V.Karunakaran (Madurai) MSC: 46F25 46G12 28C20 PDFBibTeX XMLCite \textit{T. Deck}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 3, No. 3, 337--362 (2000; Zbl 0971.46028) Full Text: DOI
Muldowney, P. Feynman’s path integrals and Henstock’s non-absolute integration. (English) Zbl 0963.28012 J. Appl. Anal. 6, No. 1, 1-24 (2000). Reviewer: Oleksandr Kukush (Kiev) MSC: 28C20 26A39 46G12 58C35 81S40 PDFBibTeX XMLCite \textit{P. Muldowney}, J. Appl. Anal. 6, No. 1, 1--24 (2000; Zbl 0963.28012) Full Text: DOI
Üstünel, Ali Süleyman; Zakai, Moshe Transformation of measure on Wiener space. (English) Zbl 0974.46044 Springer Monographs in Mathematics. Berlin: Springer. xiii, 297 p. (2000). Reviewer: Sergey Lüdkovsky (Moskva) MSC: 46G12 46-02 28-02 60-02 60H05 60G15 60G30 28C20 60H25 60G35 46T12 60H07 PDFBibTeX XMLCite \textit{A. S. Üstünel} and \textit{M. Zakai}, Transformation of measure on Wiener space. Berlin: Springer (2000; Zbl 0974.46044)
Bogachev, Vladimir I. Extensions of H-Lipschitzian mappings with infinite-dimensional range. (English) Zbl 1043.46508 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 2, No. 3, 461-474 (1999). MSC: 46G12 28C20 46T12 60G15 PDFBibTeX XMLCite \textit{V. I. Bogachev}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 2, No. 3, 461--474 (1999; Zbl 1043.46508) Full Text: DOI
Yoo, Il; Lee, Je Yoon; Kim, Byoung Soo The analytic Feynman integral over paths in abstract Wiener space. II. (English) Zbl 0951.28008 Far East J. Math. Sci. (FJMS) 1, No. 3, 351-366 (1999). MSC: 28C20 46G12 81S40 PDFBibTeX XMLCite \textit{I. Yoo} et al., Far East J. Math. Sci. (FJMS) 1, No. 3, 351--366 (1999; Zbl 0951.28008)
Smolyanov, O. G.; Truman, A. Ramer’s formulas for Feynman path integrals. (English. Russian original) Zbl 0959.58013 Dokl. Math. 58, No. 3, 418-421 (1998); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 363, No. 4, 454-457 (1998). MSC: 58D30 28C20 46G12 81S40 PDFBibTeX XMLCite \textit{O. G. Smolyanov} and \textit{A. Truman}, Dokl. Math. 58, No. 3, 454--457 (1998; Zbl 0959.58013); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 363, No. 4, 454--457 (1998)
Park, Chull; Skoug, David Integration by parts formulas involving analytic Feynman integrals. (English) Zbl 0958.46042 Panam. Math. J. 8, No. 4, 1-11 (1998). MSC: 46T12 46G12 28C20 60J65 PDFBibTeX XMLCite \textit{C. Park} and \textit{D. Skoug}, Panam. Math. J. 8, No. 4, 1--11 (1998; Zbl 0958.46042)
Uglanov, A. V. Surface integrals in Fréchet spaces. (English. Russian original) Zbl 0956.46050 Sb. Math. 189, No. 11, 1719-1737 (1998); translation from Mat. Sb. 189, No. 11, 139-157 (1998). Reviewer: W.Slowikowski (Aarhus) MSC: 46T12 46G12 28C20 46A04 PDFBibTeX XMLCite \textit{A. V. Uglanov}, Sb. Math. 189, No. 11, 1719--1737 (1998; Zbl 0956.46050); translation from Mat. Sb. 189, No. 11, 139--157 (1998) Full Text: DOI
Dudley, R. M.; Norvaiša, R. An introduction to \(p\)-variation and Young integrals. With emphasis on sample functions of stochastic processes. (English) Zbl 0937.28001 MaPhySto. Lecture Notes. 1. Aarhus: Univ. of Aarhus, Department of Mathematical Sciences, MaPhySto, iii, 103 p. (1998). Reviewer: D.Plachky (Münster) MSC: 28-02 60H05 28B20 60G17 PDFBibTeX XMLCite \textit{R. M. Dudley} and \textit{R. Norvaiša}, An introduction to \(p\)-variation and Young integrals. With emphasis on sample functions of stochastic processes. Aarhus: Univ. of Aarhus, Department of Mathematical Sciences, MaPhySto (1998; Zbl 0937.28001)
Chang, Kun Soo; Kim, Young Sik; Yoo, Il An \(L_p\) analytic Fourier-Feynman transform on abstract Wiener space. (English) Zbl 0946.46036 Commun. Korean Math. Soc. 12, No. 3, 579-595 (1997). MSC: 46F25 46T12 28C20 43A32 46G12 PDFBibTeX XMLCite \textit{K. S. Chang} et al., Commun. Korean Math. Soc. 12, No. 3, 579--595 (1997; Zbl 0946.46036)
Kondratiev, Yuri G.; Silva, Jose Luis; Streit, Ludwig Generalized Appell systems. (English) Zbl 0940.46024 Methods Funct. Anal. Topol. 3, No. 3, 28-61 (1997). Reviewer: A.N.Kochubei (Kyïv) MSC: 46G12 47A70 46G20 28C20 46T12 PDFBibTeX XMLCite \textit{Y. G. Kondratiev} et al., Methods Funct. Anal. Topol. 3, No. 3, 28--61 (1997; Zbl 0940.46024) Full Text: arXiv
Cartier, P.; De Witt-Morette, C. A rigorous mathematical foundation of functional integration. (English) Zbl 0902.28010 DeWitt-Morette, Cecile (ed.) et al., Functional integration: basics and applications. Proceedings of a NATO Advanced Study Institute, Cargèse, France, September 1–14, 1996. New York, NY: Plenum Press. NATO ASI Ser., Ser. B, Phys. 361, 1-50 (1997). Reviewer: G.Roepstorff (Aachen) MSC: 28C20 58D30 46G12 46N50 81S40 PDFBibTeX XMLCite \textit{P. Cartier} and \textit{C. De Witt-Morette}, NATO ASI Ser., Ser. B, Phys. 361, 1--50 (1997; Zbl 0902.28010)
Jefferies, Brian The Feynman representation for the Dirac propagator with a radially symmetric potential. (English) Zbl 0858.47024 Publ. Res. Inst. Math. Sci. 32, No. 2, 323-350 (1996). MSC: 47D06 81S40 46G10 28B05 28C20 35L45 PDFBibTeX XMLCite \textit{B. Jefferies}, Publ. Res. Inst. Math. Sci. 32, No. 2, 323--350 (1996; Zbl 0858.47024) Full Text: DOI
Shields, Paul C. The ergodic theory of discrete sample paths. (English) Zbl 0879.28031 Graduate Studies in Mathematics. 13. Providence, RI: American Mathematical Society (AMS). xi, 249 p. (1996). Reviewer: U.Krengel (Göttingen) MSC: 28D20 28-01 94A24 94-01 28D05 94A17 60G17 60G10 PDFBibTeX XMLCite \textit{P. C. Shields}, The ergodic theory of discrete sample paths. Providence, RI: AMS, American Mathematical Society (1996; Zbl 0879.28031)
Lobanov, Yu. Yu.; Shahbagian, R. R.; Zhidkov, E. P. Computation of multiple functional integrals in quantum physics. (English) Zbl 0852.65020 J. Comput. Appl. Math. 70, No. 1, 145-160 (1996). MSC: 65D32 81S40 28C20 PDFBibTeX XMLCite \textit{Yu. Yu. Lobanov} et al., J. Comput. Appl. Math. 70, No. 1, 145--160 (1996; Zbl 0852.65020) Full Text: DOI
Jefferies, Brian Evolution processes and the Feynman-Kac formula. (English) Zbl 0844.60027 Mathematics and its Applications (Dordrecht). 353. Dordrecht: Kluwer Academic Publishers. ix, 235 p. (1996). Reviewer: B.Goldys (Kensington) MSC: 60Hxx 60-02 28A05 46G10 81Q30 PDFBibTeX XMLCite \textit{B. Jefferies}, Evolution processes and the Feynman-Kac formula. Dordrecht: Kluwer Academic Publishers (1996; Zbl 0844.60027)
Kopanov, P. Rate of convergence for approximate integration of the Wiener process. (English) Zbl 1034.60042 Math. Balk., New Ser. 10, No. 1, 83-88 (1996). MSC: 60G17 28C20 65D30 PDFBibTeX XMLCite \textit{P. Kopanov}, Math. Balk., New Ser. 10, No. 1, 83--88 (1996; Zbl 1034.60042)
Albeverio, Sergio; Brzeźniak, Zdzisław Oscillatory integrals on Hilbert spaces and Schrödinger equation with magnetic fields. (English) Zbl 0878.46034 J. Math. Phys. 36, No. 5, 2135-2156 (1995). Reviewer: V.N.Karpushkin (Moskva) MSC: 46G12 28C20 81S40 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{Z. Brzeźniak}, J. Math. Phys. 36, No. 5, 2135--2156 (1995; Zbl 0878.46034) Full Text: DOI
Kim, Bong Jin Feynman’s operational calculus applied to multiple integrals. (English) Zbl 0944.28012 Commun. Korean Math. Soc. 10, No. 2, 337-348 (1995). MSC: 28C20 46G12 81S40 PDFBibTeX XMLCite \textit{B. J. Kim}, Commun. Korean Math. Soc. 10, No. 2, 337--348 (1995; Zbl 0944.28012) Full Text: DOI
Yoo, Il The analytic Feynman integral over paths in abstract Wiener space. (English) Zbl 0944.28011 Commun. Korean Math. Soc. 10, No. 1, 93-107 (1995). Reviewer: Jae Moon Ahn (MR 98g:28015) MSC: 28C20 46G12 81S40 PDFBibTeX XMLCite \textit{I. Yoo}, Commun. Korean Math. Soc. 10, No. 1, 93--107 (1995; Zbl 0944.28011)
Tsvetkov, I. V. Operator calculations in the theory of path integrals. (English. Russian original) Zbl 0853.65033 Theor. Math. Phys. 100, No. 2, 985-996 (1994); translation from Teor. Mat. Fiz. 100, No. 4, 248-263 (1994). MSC: 65D32 35Q40 28C20 81Q30 PDFBibTeX XMLCite \textit{I. V. Tsvetkov}, Theor. Math. Phys. 100, No. 2, 985--996 (1994; Zbl 0853.65033); translation from Teor. Mat. Fiz. 100, No. 4, 248--263 (1994) Full Text: DOI
Jefferies, Brian A process associated with the radially symmetric Dirac equation. (English) Zbl 0804.47042 Publ. Res. Inst. Math. Sci. 30, No. 2, 297-325 (1994). MSC: 47D06 81S40 28B05 46G10 28C20 35L45 PDFBibTeX XMLCite \textit{B. Jefferies}, Publ. Res. Inst. Math. Sci. 30, No. 2, 297--325 (1994; Zbl 0804.47042) Full Text: DOI
Calisto, H.; Tirapegui, E. \(\Omega\)-expansion of van Kampen through functional integrals. (English) Zbl 0945.82549 J. Stat. Phys. 71, No. 3-4, 683-703 (1993). MSC: 82C31 28C20 60J99 81S40 PDFBibTeX XMLCite \textit{H. Calisto} and \textit{E. Tirapegui}, J. Stat. Phys. 71, No. 3--4, 683--703 (1993; Zbl 0945.82549) Full Text: DOI
Chung, Dong Myung; Hwang, Hong Taek Cylinder functions in the Fresnel class of functions on abstract Wiener spaces. (English) Zbl 0762.46032 Proc. Am. Math. Soc. 115, No. 2, 381-388 (1992). Reviewer: T.Ichinose (Kanazawa) MSC: 46G12 28C20 81S40 PDFBibTeX XMLCite \textit{D. M. Chung} and \textit{H. T. Hwang}, Proc. Am. Math. Soc. 115, No. 2, 381--388 (1992; Zbl 0762.46032) Full Text: DOI
Jefferies, Brian On the additivity of unbounded set functions. (English) Zbl 0738.28007 Bull. Aust. Math. Soc. 45, No. 2, 223-236 (1992). MSC: 28B05 46G10 28C20 PDFBibTeX XMLCite \textit{B. Jefferies}, Bull. Aust. Math. Soc. 45, No. 2, 223--236 (1992; Zbl 0738.28007) Full Text: DOI
Takeo, Fukiko Generalized vector measures and Feynman path integrals. (English) Zbl 0768.28006 Atti Semin. Mat. Fis. Univ. Modena 39, No. 2, 581-590 (1991). Reviewer: A.Badrikian (Aubière) MSC: 28C20 46G12 28B05 47N50 PDFBibTeX XMLCite \textit{F. Takeo}, Atti Semin. Mat. Fis. Univ. Modena 39, No. 2, 581--590 (1991; Zbl 0768.28006)
Daletskij, Yu. L.; Fomin, S. V. Measures and differential equations in infinite-dimensional space. (English) Zbl 0753.46027 Mathematics and Its Applications. Soviet Series. 76. Dordrecht etc.: Kluwer Academic Publishers. xv, 337 p. (1991). Reviewer: W.Slowikowski (Aarhus) MSC: 46G12 28C20 46-02 28-02 46G05 46F25 PDFBibTeX XMLCite \textit{Yu. L. Daletskij} and \textit{S. V. Fomin}, Measures and differential equations in infinite-dimensional space. Dordrecht etc.: Kluwer Academic Publishers (1991; Zbl 0753.46027)
Morales, P. (ed.); Ali, S. Twareque (ed.) Proceedings of the joint Concordia-Sherbrooke seminar series on functional integration methods in stochastic quantum mechanics, Sherbrooke and Montréal/Québec, Canada, Sep. 18-Dec. 4, 1987. (English) Zbl 0722.00045 Supplemento ai Rendiconti del Circolo Matematico di Palermo, II. Serie 25. Palermo: Circolo Matematico di Palermo. 176 p. (1991). MSC: 00B25 81-06 46-06 46G12 81S40 28C20 PDFBibTeX XML
Lapidus, Michel L. The Feynman-Kac formula with a Lebesgue-Stieltjes measure: An integral equation in the general case. (English) Zbl 0697.46017 Integral Equations Oper. Theory 12, No. 2, 163-210 (1989). Reviewer: W.Slowikowski MSC: 46G12 81S40 28C20 45D05 PDFBibTeX XMLCite \textit{M. L. Lapidus}, Integral Equations Oper. Theory 12, No. 2, 163--210 (1989; Zbl 0697.46017) Full Text: DOI
Jefferies, Brian Integration with respect to the product of a measure and a closable set function. (English) Zbl 0673.28005 Nagoya Math. J. 115, 47-62 (1989). MSC: 28B05 81S40 46G10 PDFBibTeX XMLCite \textit{B. Jefferies}, Nagoya Math. J. 115, 47--62 (1989; Zbl 0673.28005) Full Text: DOI
Jefferies, Brian Integration with respect to the product of a measure and a closable set function. (English) Zbl 0661.28002 Nagoya Math. J. (to appear). Reviewer: B.Jefferies MSC: 28B05 81S40 46G10 PDFBibTeX XML
Khrennikov, A. Yu. Feynman measures on locally convex spaces. (English. Russian original) Zbl 0674.46024 Sib. Math. J. 29, No. 4, 663-670 (1988); translation from Sib. Mat. Zh. 29, No. 4(170), 180-188 (1988). Reviewer: W.Slowikowski MSC: 46F25 81S40 46G12 28C20 PDFBibTeX XMLCite \textit{A. Yu. Khrennikov}, Sib. Math. J. 29, No. 4, 663--670 (1988; Zbl 0674.46024); translation from Sib. Mat. Zh. 29, No. 4(170), 180--188 (1988) Full Text: DOI
Rogers, Alice Path integration in superspace. (English) Zbl 0672.53062 Complex differential geometry and supermanifolds in strings and fields, Proc. 7th Scheveningen Conf., Scheveningen/Netherl. 1987, Lect. Notes Phys. 311, 114-149 (1988). Reviewer: C.S.Sharma MSC: 53C80 58D30 28C20 PDFBibTeX XML
Cameron, R. H.; Storvick, D. A. Unbounded Feynman integrable functionals defined in terms of analytic functions. (English) Zbl 0664.46047 Complex analysis, Proc. 13th Rolf Nevanlinna-Colloq., Joensuu/Finl. 1987, Lect. Notes Math. 1351, 78-92 (1988). Reviewer: J.A.Goldstein MSC: 46G12 28C20 81S40 PDFBibTeX XML
Lapidus, Michel L. Strong product integration of measures and the Feynman-Kac formula with a Lebesgue-Stieltjes measure. (English) Zbl 0659.28010 Functional integration with emphasis on the Feynman integral, Proc. Workshop, Sherbrooke/Can. 1986, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 17, 271-312 (1988). Reviewer: A.Badrikian MSC: 28C20 47D03 47A40 PDFBibTeX XML
Kluvánek, Igor Integration structures. (English) Zbl 0704.46002 Proceedings of the Centre for Mathematical Analysis, Australian National University, 18. Canberra: Australian National University, Centre for Mathematical Analysis. ix, 209 p. (1988). Reviewer: W.Slowikowski MSC: 46-02 47D06 28-02 47-02 46E35 47B15 28C99 46G12 81S40 46E30 PDFBibTeX XMLCite \textit{I. Kluvánek}, Integration structures. Canberra: Australian National University, Centre for Mathematical Analysis (1988; Zbl 0704.46002)
Rogers, Alice A superspace path integral proof of the Gauss-Bonnet-Chern theorem. (English) Zbl 0669.58002 J. Geom. Phys. 4, No. 4, 417-437 (1987). Reviewer: V.Deundjak MSC: 58C50 58J20 28C20 PDFBibTeX XMLCite \textit{A. Rogers}, J. Geom. Phys. 4, No. 4, 417--437 (1987; Zbl 0669.58002) Full Text: DOI
Getzler, Ezra The degree of the Nicolai map in supersymmetric quantum mechanics. (English) Zbl 0658.28008 J. Funct. Anal. 74, 121-138 (1987). Reviewer: T.Ichinose MSC: 28C20 46G12 81T60 46G15 81S40 PDFBibTeX XMLCite \textit{E. Getzler}, J. Funct. Anal. 74, 121--138 (1987; Zbl 0658.28008) Full Text: DOI
Greguš, M. jun.; Lobanov, Yu. Yu.; Sidorova, O. V.; Zhidkov, E. P. On the deterministic computation of functional integrals in application to quantum mechanical problems. (English) Zbl 0633.65019 J. Comput. Appl. Math. 20, 247-256 (1987). Reviewer: G.Jumarie MSC: 65D20 81S40 28C20 65D32 PDFBibTeX XMLCite \textit{M. Greguš jun.} et al., J. Comput. Appl. Math. 20, 247--256 (1987; Zbl 0633.65019) Full Text: DOI
Barut, A. O.; Inomata, A.; Junker, G. Path integral treatment of the hydrogen atom in a curved space of constant curvature. (English) Zbl 0628.58005 J. Phys. A 20, 6271-6280 (1987). MSC: 58D30 81S40 28C20 PDFBibTeX XMLCite \textit{A. O. Barut} et al., J. Phys. A, Math. Gen. 20, 6271--6280 (1987; Zbl 0628.58005) Full Text: DOI