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Found 138 Documents (Results 1–100)

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
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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).
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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
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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).
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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).
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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
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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).
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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).
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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).
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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).
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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
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