Spera, Mauro On the geometry of some braid group representations. (English) Zbl 1432.53001 Adams, Colin C. (ed.) et al., Knots, low-dimensional topology and applications. Knots in Hellas, International Olympic Academy, Greece, July 2016. Papers of the international conference, Ancient Olympia, Greece, July 17–23, 2016. Cham: Springer. Springer Proc. Math. Stat. 284, 287-308 (2019). Reviewer: Dimitrios Varsos (Athína) MSC: 53-02 53D50 81S10 20F36 55R50 58B34 PDFBibTeX XMLCite \textit{M. Spera}, Springer Proc. Math. Stat. 284, 287--308 (2019; Zbl 1432.53001) Full Text: DOI
Costello, Kevin; Gwilliam, Owen Factorization algebras in quantum field theory. Volume 1. (English) Zbl 1377.81004 New Mathematical Monographs 31. Cambridge: Cambridge University Press (ISBN 978-1-107-16310-2/hbk; 978-1-00-900616-3/set; 978-1-316-67862-6/ebook). ix, 387 p. (2016). Reviewer: Albert Sheu (Lawrence) MSC: 81-02 81T10 81T70 81R10 17B67 17B69 17B70 81T45 58J28 16E45 47A68 18G35 18F20 17-02 PDFBibTeX XMLCite \textit{K. Costello} and \textit{O. Gwilliam}, Factorization algebras in quantum field theory. Volume 1. Cambridge: Cambridge University Press (2016; Zbl 1377.81004) Full Text: DOI
Meljanac, Stjepan; Krešić-Jurić, Saša; Martinić, Tea The Weyl realizations of Lie algebras, and left-right duality. (English) Zbl 1342.58005 J. Math. Phys. 57, No. 5, 051704, 14 p. (2016). MSC: 58B34 11L15 53D55 11B68 PDFBibTeX XMLCite \textit{S. Meljanac} et al., J. Math. Phys. 57, No. 5, 051704, 14 p. (2016; Zbl 1342.58005) Full Text: DOI arXiv
Gelca, Răzvan Theta functions and knots. (English) Zbl 1311.57001 Hackensack, NJ: World Scientific (ISBN 978-981-4520-57-7/hbk; 978-981-4520-59-1/ebook). xiv, 454 p. (2014). Reviewer: Daniel Moskovich (Beer-Sheva) MSC: 57-02 57M25 57M27 14H42 58J28 57R56 81R05 81S05 PDFBibTeX XMLCite \textit{R. Gelca}, Theta functions and knots. Hackensack, NJ: World Scientific (2014; Zbl 1311.57001) Full Text: DOI
Uribe, Alejandro; Wang, Zuoqin A brief introduction to semiclassical analysis. (English) Zbl 1326.53127 Barnett, Alex H. (ed.) et al., Spectral geometry. Based on the international conference, Dartmouth, NH, USA, July 19–23, 2010. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5319-1/hbk). Proceedings of Symposia in Pure Mathematics 84, 73-89 (2012). MSC: 53D50 58J51 81Q20 PDFBibTeX XMLCite \textit{A. Uribe} and \textit{Z. Wang}, Proc. Symp. Pure Math. 84, 73--89 (2012; Zbl 1326.53127) Full Text: DOI
Meljanac, Stjepan; Krešić-Jurić, Saša Noncommutative differential forms on the kappa-deformed space. (English) Zbl 1202.58004 J. Phys. A, Math. Theor. 42, No. 36, Article ID 365204, 21 p. (2009). MSC: 58B32 58B34 81R60 81S10 PDFBibTeX XMLCite \textit{S. Meljanac} and \textit{S. Krešić-Jurić}, J. Phys. A, Math. Theor. 42, No. 36, Article ID 365204, 21 p. (2009; Zbl 1202.58004) Full Text: DOI arXiv
Isozaki, Hiroshi; Le Rousseau, Jérôme Pseudodifferential multi-product representation of the solution operator of a parabolic equation. (English) Zbl 1387.35647 Commun. Partial Differ. Equations 34, No. 7, 625-655 (2009). MSC: 35S10 35B45 35K15 35K30 35R01 47G30 58J40 58J35 PDFBibTeX XMLCite \textit{H. Isozaki} and \textit{J. Le Rousseau}, Commun. Partial Differ. Equations 34, No. 7, 625--655 (2009; Zbl 1387.35647) Full Text: DOI arXiv
Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira A new nonformal noncommutative calculus: associativity and finite part regularization. (English) Zbl 1177.53080 Hijazi, Oussama (ed.), Géométrie différentielle, physique mathématique, mathématiques et société (I). Volume en l’honneur de Jean Pierre Bourguignon. Paris: Société Mathématique de France (ISBN 978-2-85629-258-7/pbk). Astérisque 321, 267-297 (2008). MSC: 53D55 53D10 46L65 58B34 PDFBibTeX XMLCite \textit{H. Omori} et al., Astérisque 321, 267--297 (2008; Zbl 1177.53080)
Pflaum, Markus J. From Weyl quantization to modern algebraic index theory. (English) Zbl 1163.53059 Tent, Katrin (ed.), Groups and analysis. The legacy of Hermann Weyl. Based on the conference in honour of Hermann Weyl, Bielefeld, Germany, September 2006. Cambridge: Cambridge University Press (ISBN 978-0-521-71788-5/pbk). London Mathematical Society Lecture Note Series 354, 84-99 (2008). Reviewer: Ivailo Mladenov (Sofia) MSC: 53D55 58J22 81S10 58J40 58J20 PDFBibTeX XMLCite \textit{M. J. Pflaum}, Lond. Math. Soc. Lect. Note Ser. 354, 84--99 (2008; Zbl 1163.53059) Full Text: DOI
Boulkhemair, Abdesslam On the Fefferman-Phong inequality. (English) Zbl 1145.35099 Ann. Inst. Fourier 58, No. 4, 1093-1115 (2008). MSC: 35S05 47G30 58J40 PDFBibTeX XMLCite \textit{A. Boulkhemair}, Ann. Inst. Fourier 58, No. 4, 1093--1115 (2008; Zbl 1145.35099) Full Text: DOI Numdam EuDML
Gayral, Victor; Gracia-Bondía, José M.; Várilly, Joseph C. Fourier analysis on the affine group, quantization and noncompact Connes geometries. (English) Zbl 1148.43005 J. Noncommut. Geom. 2, No. 2, 215-261 (2008). Reviewer: Vladimir Balan (Bucureşti) MSC: 43A30 43A85 58B34 81S30 PDFBibTeX XMLCite \textit{V. Gayral} et al., J. Noncommut. Geom. 2, No. 2, 215--261 (2008; Zbl 1148.43005) Full Text: DOI arXiv
Gracia-Saz, Alfonso The symbol of a function of a pseudodifferential operator. (English) Zbl 1091.53062 Ann. Inst. Fourier 55, No. 7, 2257-2284 (2005). Reviewer: Benjamin Cahen (Metz) MSC: 53D55 81S10 47G30 58J40 PDFBibTeX XMLCite \textit{A. Gracia-Saz}, Ann. Inst. Fourier 55, No. 7, 2257--2284 (2005; Zbl 1091.53062) Full Text: DOI arXiv Numdam EuDML
Tosiek, Jaromir The Weyl bundle as a differentiable manifold. (English) Zbl 1074.81039 J. Phys. A, Math. Gen. 38, No. 23, 5193-5216 (2005). Reviewer: Marian Ioan Munteanu (Roma) MSC: 81S10 53D55 81Q70 58E50 58B05 PDFBibTeX XMLCite \textit{J. Tosiek}, J. Phys. A, Math. Gen. 38, No. 23, 5193--5216 (2005; Zbl 1074.81039) Full Text: DOI arXiv
Hassell, Andrew; Zelditch, Steve Quantum ergodicity of boundary values of eigenfunctions. (English) Zbl 1054.58022 Commun. Math. Phys. 248, No. 1, 119-168 (2004). Reviewer: Peter B. Gilkey (Eugene) MSC: 58J50 81S10 58J40 46L60 PDFBibTeX XMLCite \textit{A. Hassell} and \textit{S. Zelditch}, Commun. Math. Phys. 248, No. 1, 119--168 (2004; Zbl 1054.58022) Full Text: DOI arXiv
Toth, John A. A small-scale density of states formula. (English) Zbl 1045.53056 Commun. Math. Phys. 238, No. 1-2, 225-256 (2003). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 53D50 53C20 58J37 58J50 81Q20 PDFBibTeX XMLCite \textit{J. A. Toth}, Commun. Math. Phys. 238, No. 1--2, 225--256 (2003; Zbl 1045.53056) Full Text: DOI
Kapustin, Anton; Kuznetsov, Alexander; Orlov, Dmitri Noncommutative instantons and twistor transform. (English) Zbl 0989.81127 Commun. Math. Phys. 221, No. 2, 385-432 (2001). Reviewer: Akira Asada (Takarazuka) MSC: 81T75 81R25 58B34 32L99 58D27 81T30 81S10 81R10 46L55 PDFBibTeX XMLCite \textit{A. Kapustin} et al., Commun. Math. Phys. 221, No. 2, 385--432 (2001; Zbl 0989.81127) Full Text: DOI arXiv Backlinks: MO
Schwarz, Albert Theta functions on noncommutative tori. (English) Zbl 1032.53082 Lett. Math. Phys. 58, No. 1, 81-90 (2001). Reviewer: Nikolai Alexander Neumaier (Frankfurt am Main) MSC: 53D55 58B34 17B37 PDFBibTeX XMLCite \textit{A. Schwarz}, Lett. Math. Phys. 58, No. 1, 81--90 (2001; Zbl 1032.53082) Full Text: DOI arXiv
Karasev, Mikhail Advances in quantization: quantum tensors, explicit star-products, and restriction to irreducible leaves. (English) Zbl 0951.53059 Differ. Geom. Appl. 9, No. 1-2, 89-134 (1998). Reviewer: Jair Koiller (Rio de Janeiro) MSC: 53D55 58H15 PDFBibTeX XMLCite \textit{M. Karasev}, Differ. Geom. Appl. 9, No. 1--2, 89--134 (1998; Zbl 0951.53059) Full Text: DOI
Rapoport, Diego L. Riemann-Cartan-Weyl quantum geometry. II: Cartan stochastic copying method, Fokker-Planck operator and Maxwell-de Rham equations. (English) Zbl 0894.58074 Int. J. Theor. Phys. 36, No. 10, 2115-2152 (1997). MSC: 58J65 81S10 58Z05 81S20 PDFBibTeX XMLCite \textit{D. L. Rapoport}, Int. J. Theor. Phys. 36, No. 10, 2115--2152 (1997; Zbl 0894.58074) Full Text: DOI
Safarov, Yu. Pseudodifferential operators and linear connections. (English) Zbl 0872.35140 Proc. Lond. Math. Soc., III. Ser. 74, No. 2, 379-416 (1997). Reviewer: Yu.Safarov (London) MSC: 35S05 58J60 PDFBibTeX XMLCite \textit{Yu. Safarov}, Proc. Lond. Math. Soc. (3) 74, No. 2, 379--416 (1997; Zbl 0872.35140) Full Text: DOI
Gitman, D. M.; Gonçalves, A. E. Pseudoclassical description of massive Dirac particles in odd dimensions. (English) Zbl 0865.58058 Int. J. Theor. Phys. 35, No. 12, 2427-2438 (1996). MSC: 58Z05 81T70 PDFBibTeX XMLCite \textit{D. M. Gitman} and \textit{A. E. Gonçalves}, Int. J. Theor. Phys. 35, No. 12, 2427--2438 (1996; Zbl 0865.58058) Full Text: DOI arXiv
Amelino-Camelia, G.; Seminara, D. Black hole radiation (with and) without Weyl anomaly. (English) Zbl 0855.53064 Classical Quantum Gravity 13, No. 5, 881-889 (1996). MSC: 53Z05 83C57 81T20 83C45 58Z05 PDFBibTeX XMLCite \textit{G. Amelino-Camelia} and \textit{D. Seminara}, Classical Quantum Gravity 13, No. 5, 881--889 (1996; Zbl 0855.53064) Full Text: DOI arXiv
Maeda, Yoshiaki The problem of deformations of Poisson algebras and noncommutative geometry. (Japanese) Zbl 0924.58118 Sūgaku 48, No. 3, 225-241 (1996). Reviewer: Kazushige Ueno (MR 97g:58186) MSC: 53D55 58B34 58H05 PDFBibTeX XMLCite \textit{Y. Maeda}, Sūgaku 48, No. 3, 225--241 (1996; Zbl 0924.58118)
Rapoport, Diego L. The geometry of fluctuations. II: Quantum gravity and ergodicity. (English) Zbl 0882.58062 Tsagas, Grigorios T. (ed.), New frontiers in algebras, groups and geometries. Proceedings of the international workshop, Molise, Italy, August 9–12, 1995. Palm Harbor, FL: Hadronic Press. Series on New Frontiers in Advanced Mathematics. 225-250 (1996). Reviewer: S.Eloshvili (Tbilisi) MSC: 58J65 60J60 81S20 83C45 81P20 PDFBibTeX XMLCite \textit{D. L. Rapoport}, in: New frontiers in algebras, groups and geometries. Proceedings of the international workshop, Molise, Italy, August 9--12, 1995. Palm Harbor, FL: Hadronic Press. 225--250 (1996; Zbl 0882.58062)
Emmrich, Claudio; Weinstein, Alan The differential geometry of Fedosov’s quantization. (English) Zbl 0846.58031 Brylinski, Jean-Luc (ed.) et al., Lie theory and geometry: in honor of Bertram Kostant on the occasion of his 65th birthday. Invited papers, some originated at a symposium held at MIT, Cambridge, MA, USA in May 1993. Boston, MA: Birkhäuser. Prog. Math. 123, 217-239 (1994). Reviewer: M.Puta (Timişoara) MSC: 53D50 81S10 58J20 53C15 PDFBibTeX XMLCite \textit{C. Emmrich} and \textit{A. Weinstein}, Prog. Math. 123, 217--239 (1994; Zbl 0846.58031) Full Text: arXiv
Nakashima, M. The star exponential and path integrals on compact groups. II: The Weyl character formula. (English) Zbl 0795.58008 Lett. Math. Phys. 30, No. 2, 119-123 (1994). Reviewer: C.S.Sharma (London) MSC: 58D30 81S10 81S40 32L05 81T70 53Z05 43A77 PDFBibTeX XMLCite \textit{M. Nakashima}, Lett. Math. Phys. 30, No. 2, 119--123 (1994; Zbl 0795.58008) Full Text: DOI
Qian, Min; Xu, Lianchao Weyl transformations on manifolds. I: Definitions and isomorphism theorems. (English) Zbl 0799.58083 Acta Math. Sin., New Ser. 9, No. 4, 367-381 (1993). Reviewer: V.Oproiu (Iaşi) MSC: 58J72 81T05 53C20 53D50 PDFBibTeX XMLCite \textit{M. Qian} and \textit{L. Xu}, Acta Math. Sin., New Ser. 9, No. 4, 367--381 (1993; Zbl 0799.58083) Full Text: DOI
Sato, Ki-ichiro Weyl invariant formulation of two-dimensional quantum gravity. – Some remarks on the conserved currents. (English) Zbl 0828.58041 Kato, Mitsuhiro (ed.) et al., Recent developments in string and field theory. Kyoto: Yukawa Institute for Theoretical Physics and The Physical Society of Japan, Prog. Theor. Phys., Suppl. 110, 81-95 (1992). MSC: 58Z05 83C45 81T50 PDFBibTeX XMLCite \textit{K.-i. Sato}, Prog. Theor. Phys., Suppl. 110, 81--95 (1992; Zbl 0828.58041)
Beyer, Horst Remarks on Fulling’s quantization. (English) Zbl 0723.58053 Classical Quantum Gravity 8, No. 6, 1091-1112 (1991). Reviewer: P.Kosiński (Łódź) MSC: 58Z05 81T05 81T20 PDFBibTeX XMLCite \textit{H. Beyer}, Classical Quantum Gravity 8, No. 6, 1091--1112 (1991; Zbl 0723.58053) Full Text: DOI
Unterberger, A. Relativistic quantification. (Quantification relativiste.) (French) Zbl 0745.35057 Mém. Soc. Math. Fr., Nouv. Sér. 44/45, 215 p. (1991). Reviewer: P.G.Schmidt (Auburn) MSC: 35S05 35-02 47G30 83-02 81S99 35Q40 47N50 58J40 PDFBibTeX XMLCite \textit{A. Unterberger}, Mém. Soc. Math. Fr., Nouv. Sér. 44/45, 215 p. (1991; Zbl 0745.35057) Full Text: DOI Numdam EuDML
Holm, Christian Neutrino spectrum of Einstein universes. (English) Zbl 0664.58046 J. Math. Phys. 29, No. 10, 2273-2279 (1988). MSC: 58Z05 58J90 83C45 PDFBibTeX XMLCite \textit{C. Holm}, J. Math. Phys. 29, No. 10, 2273--2279 (1988; Zbl 0664.58046) Full Text: DOI
Mansfield, P. The relationship among canonical quantisation, Polyakov’s functional integral and BRST quantisation of the string. (English) Zbl 0629.58042 Ann. Phys. 180, 330-352 (1987). MSC: 58Z05 17B65 53D50 PDFBibTeX XMLCite \textit{P. Mansfield}, Ann. Phys. 180, 330--352 (1987; Zbl 0629.58042) Full Text: DOI
Fedosov, B. V. Quantization and the index. (English. Russian original) Zbl 0635.58019 Sov. Phys., Dokl. 31, 877-878 (1986); translation from Dokl. Akad. Nauk SSSR 291, 82-86 (1986). Reviewer: Gh.Zet MSC: 53D55 53C15 58J22 PDFBibTeX XMLCite \textit{B. V. Fedosov}, Sov. Phys., Dokl. 31, 877--878 (1986; Zbl 0635.58019); translation from Dokl. Akad. Nauk SSSR 291, 82--86 (1986)
Rudra, P Maximal symmetry groups of quantum relativistic equations. (English) Zbl 0619.58037 J. Phys. A 19, 3201-3210 (1986). Reviewer: M.M.Martellini MSC: 58J70 83C45 PDFBibTeX XMLCite \textit{P Rudra}, J. Phys. A, Math. Gen. 19, 3201--3210 (1986; Zbl 0619.58037) Full Text: DOI
Ichinose, Takashi; Tamura, Hiroshi Path integral for the Weyl quantized relativistic Hamiltonian. (English) Zbl 0597.58038 Proc. Japan Acad., Ser. A 62, 91-93 (1986). Reviewer: Yu.Latushkin MSC: 58J40 PDFBibTeX XMLCite \textit{T. Ichinose} and \textit{H. Tamura}, Proc. Japan Acad., Ser. A 62, 91--93 (1986; Zbl 0597.58038) Full Text: DOI
Guillemin, Victor A new proof of Weyl’s formula on the asymptotic distribution of eigenvalues. (English) Zbl 0559.58025 Adv. Math. 55, 131-160 (1985). Reviewer: N.Jacob MSC: 58J50 81S99 35P20 58J40 53D50 PDFBibTeX XMLCite \textit{V. Guillemin}, Adv. Math. 55, 131--160 (1985; Zbl 0559.58025) Full Text: DOI
Guillemin, Victor Toeplitz operators in \(n\)-dimensions. (English) Zbl 0561.47025 Integral Equations Oper. Theory 7, 145-205 (1984). Reviewer: W.Jarczyk MSC: 47B35 58J40 35S05 PDFBibTeX XMLCite \textit{V. Guillemin}, Integral Equations Oper. Theory 7, 145--205 (1984; Zbl 0561.47025) Full Text: DOI
Unterberger, André; Unterberger, Julianne La série discrète de \(SL(2,{\mathbb{R}})\) et les opérateurs pseudo- différentiels sur une demi-droite. (French) Zbl 0549.35119 Ann. Sci. Éc. Norm. Supér. (4) 17, 83-116 (1984). MSC: 35S05 43A85 58J40 53C55 47Gxx PDFBibTeX XMLCite \textit{A. Unterberger} and \textit{J. Unterberger}, Ann. Sci. Éc. Norm. Supér. (4) 17, 83--116 (1984; Zbl 0549.35119) Full Text: DOI Numdam EuDML
Lichnerowicz, André Quantum mechanics and deformations of geometrical dynamics. (English) Zbl 0531.58054 Quantum theory, groups, fields and particles, Math. Phys. Stud. 4, 3-82 (1983). Reviewer: I.Vaisman MSC: 58H15 53D50 81R10 37J99 PDFBibTeX XML
De Wilde, Marc; Lecomte, Pierre B. A. Existence of star-products and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds. (English) Zbl 0526.58023 Lett. Math. Phys. 7, 487-496 (1983). MSC: 53D55 53D17 53C15 58A12 PDFBibTeX XMLCite \textit{M. De Wilde} and \textit{P. B. A. Lecomte}, Lett. Math. Phys. 7, 487--496 (1983; Zbl 0526.58023) Full Text: DOI
Helmstetter, Jacques Fibre de Maslov, groupe metaplectique et *-produit. (French) Zbl 0492.58022 C. R. Acad. Sci., Paris, Sér. I 294, 361-364 (1982). MSC: 58J40 46H99 53C15 53D50 16S80 46F99 PDFBibTeX XMLCite \textit{J. Helmstetter}, C. R. Acad. Sci., Paris, Sér. I 294, 361--364 (1982; Zbl 0492.58022)