Jia, Xiaoke; Fan, Xingya The Plancherel formula of Fourier integral operators: the case of \(Sp(1,1)\). (English) Zbl 07807352 Int. J. Wavelets Multiresolut. Inf. Process. 22, No. 2, Article ID 2350042, 19 p. (2024). MSC: 42B10 43A32 46F12 58J40 PDFBibTeX XMLCite \textit{X. Jia} and \textit{X. Fan}, Int. J. Wavelets Multiresolut. Inf. Process. 22, No. 2, Article ID 2350042, 19 p. (2024; Zbl 07807352) Full Text: DOI
Martini, Alessio; Meda, Stefano; Vallarino, Maria; Veronelli, Giona Inclusions and noninclusions of Hardy type spaces on certain nondoubling manifolds. (English) Zbl 07784454 J. Funct. Anal. 286, No. 3, Article ID 110240, 39 p. (2024). MSC: 42B30 42B35 42B20 42B25 46E30 58C99 PDFBibTeX XMLCite \textit{A. Martini} et al., J. Funct. Anal. 286, No. 3, Article ID 110240, 39 p. (2024; Zbl 07784454) Full Text: DOI arXiv
Mir, Pau; Miranda, Eva; Nicolás, Pablo Hamiltonian facets of classical gauge theories on \(E\)-manifolds. (English) Zbl 1523.81127 J. Phys. A, Math. Theor. 56, No. 23, Article ID 235201, 43 p. (2023). MSC: 81T13 55Q20 32S65 32J05 53C22 37J39 46E30 PDFBibTeX XMLCite \textit{P. Mir} et al., J. Phys. A, Math. Theor. 56, No. 23, Article ID 235201, 43 p. (2023; Zbl 1523.81127) Full Text: DOI arXiv
Tumpach, Alice Barbora; Goliński, Tomasz Banach Poisson-Lie group structure on \(\operatorname{U}(\mathcal{H})\). arXiv:2303.11795 Preprint, arXiv:2303.11795 [math.FA] (2023). MSC: 58B25 22E65 46T05 53D17 BibTeX Cite \textit{A. B. Tumpach} and \textit{T. Goliński}, ``Banach Poisson-Lie group structure on $\operatorname{U}(\mathcal{H})$'', Preprint, arXiv:2303.11795 [math.FA] (2023) Full Text: DOI arXiv OA License
Moshayedi, Nima Kontsevich’s deformation quantization and quantum field theory. (English) Zbl 1504.53003 Lecture Notes in Mathematics 2311. Cham: Springer (ISBN 978-3-031-05121-0/pbk; 978-3-031-05122-7/ebook). xiii, 334 p. (2022). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53-02 53D17 53D42 53D55 81T75 46L87 81Q30 18N70 PDFBibTeX XMLCite \textit{N. Moshayedi}, Kontsevich's deformation quantization and quantum field theory. Cham: Springer (2022; Zbl 1504.53003) Full Text: DOI
Schmitt, Philipp; Schötz, Matthias Wick rotations in deformation quantization. (English) Zbl 1500.53092 Rev. Math. Phys. 34, No. 1, Article ID 2150035, 56 p. (2022). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D55 32Q28 46N50 53D17 PDFBibTeX XMLCite \textit{P. Schmitt} and \textit{M. Schötz}, Rev. Math. Phys. 34, No. 1, Article ID 2150035, 56 p. (2022; Zbl 1500.53092) Full Text: DOI arXiv
Cabau, Patrick; Pelletier, Fernand Structures bihamiltoniennes partielles. arXiv:2207.11601 Preprint, arXiv:2207.11601 [math.DG] (2022). MSC: 53D17 46T05 58A30 BibTeX Cite \textit{P. Cabau} and \textit{F. Pelletier}, ``Structures bihamiltoniennes partielles'', Preprint, arXiv:2207.11601 [math.DG] (2022) Full Text: arXiv OA License
Glockner, Helge Aspects of differential calculus related to infinite-dimensional vector bundles and Poisson vector spaces. arXiv:2203.01625 Preprint, arXiv:2203.01625 [math.FA] (2022). MSC: 26E15 26E15 17B63 22E65 26E20 26E20 46G20 54B10 54D50 55R25 58B10 BibTeX Cite \textit{H. Glockner}, ``Aspects of differential calculus related to infinite-dimensional vector bundles and Poisson vector spaces'', Preprint, arXiv:2203.01625 [math.FA] (2022) Full Text: arXiv OA License
Ciccoli, Nicola Quantum orbit method for the Connes-Landi-Matsumoto 3-sphere. (English) Zbl 1503.53147 Rend. Ist. Mat. Univ. Trieste 53, Paper No. 10, 11 p. (2021). Reviewer: Albert Sheu (Lawrence) MSC: 53D17 53D50 58B32 46L85 PDFBibTeX XMLCite \textit{N. Ciccoli}, Rend. Ist. Mat. Univ. Trieste 53, Paper No. 10, 11 p. (2021; Zbl 1503.53147) Full Text: DOI
Peraza, Javier; Paternain, Miguel; Reisenberger, Michael On the classical and quantum Geroch group. (English) Zbl 1479.83095 Classical Quantum Gravity 38, No. 1, Article ID 015013, 58 p. (2021). MSC: 83C45 58D20 83C35 53D10 17B63 53D17 83C30 46L05 PDFBibTeX XMLCite \textit{J. Peraza} et al., Classical Quantum Gravity 38, No. 1, Article ID 015013, 58 p. (2021; Zbl 1479.83095) Full Text: DOI arXiv
Steinhurst, Benjamin; Teplyaev, Alexander Spectral analysis on Barlow and Evans’ projective limit fractals. (English) Zbl 1469.81023 J. Spectr. Theory 11, No. 1, 91-123 (2021). MSC: 81Q35 81S25 81P16 28A80 31C25 35J05 46M40 60J35 81Q12 PDFBibTeX XMLCite \textit{B. Steinhurst} and \textit{A. Teplyaev}, J. Spectr. Theory 11, No. 1, 91--123 (2021; Zbl 1469.81023) Full Text: DOI
Kocherova, A. S.; Zhdanovskiy, I. Yu. Some algebraic and geometric aspects of quantum measurements. (English. Russian original) Zbl 1469.81025 Proc. Steklov Inst. Math. 313, 99-112 (2021); translation from Tr. Mat. Inst. Steklova 313, 109-123 (2021). MSC: 81Q70 53D17 46G10 PDFBibTeX XMLCite \textit{A. S. Kocherova} and \textit{I. Yu. Zhdanovskiy}, Proc. Steklov Inst. Math. 313, 99--112 (2021; Zbl 1469.81025); translation from Tr. Mat. Inst. Steklova 313, 109--123 (2021) Full Text: DOI
Stiénon, Mathieu; Xu, Ping Atiyah classes and Kontsevich-Duflo type theorem for dg manifolds. (English) Zbl 1467.58003 Fialowski, Alice (ed.) et al., Homotopy algebras, deformation theory and quantization. Selected papers based on the presentations at the conference, September 16 and 22, 2018, Poznań, Poland. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 123, 63-110 (2021). Reviewer: Andrew Bruce (Esch-sur-Alzette) MSC: 58A50 16E45 18N40 46L65 53D55 53D17 PDFBibTeX XMLCite \textit{M. Stiénon} and \textit{P. Xu}, Banach Cent. Publ. 123, 63--110 (2021; Zbl 1467.58003) Full Text: DOI
Bambozzi, Federico; Murro, Simone On the uniqueness of invariant states. (English) Zbl 1453.81035 Adv. Math. 376, Article ID 107445, 38 p. (2021). Reviewer: Dmitry Artamonov (Moskva) MSC: 81R05 46L30 53D17 22E70 81R25 58J28 37A05 PDFBibTeX XMLCite \textit{F. Bambozzi} and \textit{S. Murro}, Adv. Math. 376, Article ID 107445, 38 p. (2021; Zbl 1453.81035) Full Text: DOI arXiv
Lewis, Andrew D. Erratum to: “Nonholonomic and constrained variational mechanics”. (English) Zbl 1480.70020 J. Geom. Mech. 12, No. 4, 671-675 (2020). MSC: 70F25 70G45 34C45 46E35 49K05 53C05 53C17 PDFBibTeX XMLCite \textit{A. D. Lewis}, J. Geom. Mech. 12, No. 4, 671--675 (2020; Zbl 1480.70020) Full Text: DOI
Beltiţă, Daniel; Odzijewicz, Anatol Standard groupoids of von Neumann algebras. (English) Zbl 1484.46062 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVIII. Workshop, Białowieża, Poland, June 30 – July 6, 2019. Cham: Birkhäuser. Trends Math., 31-39 (2020). MSC: 46L10 46L60 53D17 22A22 22E65 58B25 PDFBibTeX XMLCite \textit{D. Beltiţă} and \textit{A. Odzijewicz}, in: Geometric methods in physics XXXVIII. Workshop, Białowieża, Poland, June 30 -- July 6, 2019. Cham: Birkhäuser. 31--39 (2020; Zbl 1484.46062) Full Text: DOI
Bruce, Andrew James Almost commutative \(Q\)-algebras and derived brackets. (English) Zbl 1479.81036 J. Noncommut. Geom. 14, No. 2, 681-707 (2020). Reviewer: Vida Milani (North Logan) MSC: 81R60 46L87 17B75 53D17 58A50 PDFBibTeX XMLCite \textit{A. J. Bruce}, J. Noncommut. Geom. 14, No. 2, 681--707 (2020; Zbl 1479.81036) Full Text: DOI arXiv
Lewis, Andrew D. Nonholonomic and constrained variational mechanics. (English) Zbl 1476.70057 J. Geom. Mech. 12, No. 2, 165-308 (2020); erratum ibid. 12, No. 4, 671-675 (2020). MSC: 70F25 70G45 34C45 46E35 49K05 53C05 53C17 PDFBibTeX XMLCite \textit{A. D. Lewis}, J. Geom. Mech. 12, No. 2, 165--308 (2020; Zbl 1476.70057) Full Text: DOI DOI
Ciccoli, Nicola; Sheu, Albert Jeu-Liang Nonstandard quantum complex projective line. (English) Zbl 1457.58003 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 073, 14 p. (2020). MSC: 58B32 46L85 53D17 PDFBibTeX XMLCite \textit{N. Ciccoli} and \textit{A. J. L. Sheu}, SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 073, 14 p. (2020; Zbl 1457.58003) Full Text: DOI arXiv
Steinerberger, Stefan Oscillatory functions vanish on a large set. (English) Zbl 1446.58005 Asian J. Math. 24, No. 1, 177-190 (2020). MSC: 58C40 28A75 35B05 35J05 35K08 46E35 PDFBibTeX XMLCite \textit{S. Steinerberger}, Asian J. Math. 24, No. 1, 177--190 (2020; Zbl 1446.58005) Full Text: DOI arXiv
Lorenzoni, P.; Vitolo, R. Weakly nonlocal Poisson brackets, Schouten brackets and supermanifolds. (English) Zbl 1439.37071 J. Geom. Phys. 149, Article ID 103573, 8 p. (2020). Reviewer: Tihomir Valchev (Sofia) MSC: 37K25 37K06 37K10 58A50 46S60 35A30 PDFBibTeX XMLCite \textit{P. Lorenzoni} and \textit{R. Vitolo}, J. Geom. Phys. 149, Article ID 103573, 8 p. (2020; Zbl 1439.37071) Full Text: DOI arXiv
Crytser, Danny; Nagy, Gabriel Simplicity criteria for étale groupoid \(C^*\)-algebras. (English) Zbl 1463.53088 J. Oper. Theory 83, No. 1, 95-138 (2020). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 46L35 47L65 PDFBibTeX XMLCite \textit{D. Crytser} and \textit{G. Nagy}, J. Oper. Theory 83, No. 1, 95--138 (2020; Zbl 1463.53088) Full Text: arXiv
Buring, R.; Kiselev, A. V. Formality morphism as the mechanism of \(\star\)-product associativity: how it works. (English) Zbl 1438.53125 Zb. Pr. Inst. Mat. NAN Ukr. 16, No. 1, 22-43 (2019). Reviewer: O. Zhaliĭ (Kyïv) MSC: 53D55 46L65 53D17 PDFBibTeX XMLCite \textit{R. Buring} and \textit{A. V. Kiselev}, Zb. Pr. Inst. Mat. NAN Ukr. 16, No. 1, 22--43 (2019; Zbl 1438.53125) Full Text: arXiv
Anantharaman, Nalini; Sabri, Mostafa Poisson kernel expansions for Schrödinger operators on trees. (English) Zbl 1410.81022 J. Spectr. Theory 9, No. 1, 243-268 (2019). MSC: 81Q35 81Q10 31C20 39A12 43A25 05C05 47B34 46F99 PDFBibTeX XMLCite \textit{N. Anantharaman} and \textit{M. Sabri}, J. Spectr. Theory 9, No. 1, 243--268 (2019; Zbl 1410.81022) Full Text: DOI arXiv
Pelletier, Fernand; Cabau, Patrick Convenient partial Poisson manifolds. (English) Zbl 1414.53074 J. Geom. Phys. 136, 173-194 (2019). Reviewer: Andrew Bruce (Warszawa) MSC: 53D17 18A30 46T05 17B66 37K30 22E65 PDFBibTeX XMLCite \textit{F. Pelletier} and \textit{P. Cabau}, J. Geom. Phys. 136, 173--194 (2019; Zbl 1414.53074) Full Text: DOI arXiv
Beltita, Daniel; Odzijewicz, Anatol Poisson geometrical aspects of the Tomita-Takesaki modular theory. arXiv:1910.14466 Preprint, arXiv:1910.14466 [math.OA] (2019). MSC: 53D17 22A22 22E65 46L10 46L60 58B25 BibTeX Cite \textit{D. Beltita} and \textit{A. Odzijewicz}, ``Poisson geometrical aspects of the Tomita-Takesaki modular theory'', Preprint, arXiv:1910.14466 [math.OA] (2019) Full Text: arXiv OA License
Beltiţă, Daniel; Goliński, Tomasz; Tumpach, Alice-Barbara Queer Poisson brackets. (English) Zbl 1398.53086 J. Geom. Phys. 132, 358-362 (2018). Reviewer: Albert Sheu (Lawrence) MSC: 53D17 58B99 46T05 47B10 PDFBibTeX XMLCite \textit{D. Beltiţă} et al., J. Geom. Phys. 132, 358--362 (2018; Zbl 1398.53086) Full Text: DOI arXiv
Contreras, Ivan; Duman, Ali Nabi Geometric quantization and epistemically restricted theories: the continuous case. (English) Zbl 1486.81139 Duncan, Ross (ed.) et al., Proceedings of the 13th international conference on quantum physics and logic, QPL’16, Glasgow, Scotland, June 6–10, 2016. Waterloo: Open Publishing Association (OPA). Electron. Proc. Theor. Comput. Sci. (EPTCS) 236, 40-50 (2017). MSC: 81S10 46L65 53D17 22A22 53D50 58A05 PDFBibTeX XMLCite \textit{I. Contreras} and \textit{A. N. Duman}, Electron. Proc. Theor. Comput. Sci. (EPTCS) 236, 40--50 (2017; Zbl 1486.81139) Full Text: arXiv Link
Cabau, Patrick Direct limits of Lie algebroids prolongations. (Spanish. English summary) Zbl 1420.53085 Rev. Mat. Teor. Apl. 24, No. 1, 9-28 (2017). MSC: 53D17 46A13 58A32 PDFBibTeX XMLCite \textit{P. Cabau}, Rev. Mat. Teor. Apl. 24, No. 1, 9--28 (2017; Zbl 1420.53085) Full Text: DOI
Kurlberg, Pär; Ueberschär, Henrik Superscars in the Šeba billiard. (English) Zbl 1375.81114 J. Eur. Math. Soc. (JEMS) 19, No. 10, 2947-2964 (2017). MSC: 81Q50 58J50 35J05 46F10 81Q20 81U05 PDFBibTeX XMLCite \textit{P. Kurlberg} and \textit{H. Ueberschär}, J. Eur. Math. Soc. (JEMS) 19, No. 10, 2947--2964 (2017; Zbl 1375.81114) Full Text: DOI arXiv
Deser, Andreas Star products on graded manifolds and \(\alpha'\)-corrections to double field theory. (English) Zbl 1442.81057 Kielanowski, Piotr (ed.) et al., Geometric methods in physics. XXXIV workshop, Białowieża, Poland, June 28 – July 4, 2015. Basel: Birkhäuser/Springer. Trends Math., 311-320 (2016). MSC: 81T30 81R05 81R10 53D55 81T13 53D17 53D18 46L65 PDFBibTeX XMLCite \textit{A. Deser}, in: Geometric methods in physics. XXXIV workshop, Białowieża, Poland, June 28 -- July 4, 2015. Basel: Birkhäuser/Springer. 311--320 (2016; Zbl 1442.81057) Full Text: DOI arXiv
Kiesenhofer, Anna; Miranda, Eva Noncommutative integrable systems on \(b\)-symplectic manifolds. (English) Zbl 1367.53060 Regul. Chaotic Dyn. 21, No. 6, 643-659 (2016). MSC: 53D05 53D17 70H06 46L87 PDFBibTeX XMLCite \textit{A. Kiesenhofer} and \textit{E. Miranda}, Regul. Chaotic Dyn. 21, No. 6, 643--659 (2016; Zbl 1367.53060) Full Text: DOI arXiv
Odzijewicz, Anatol; Sliżewska, Aneta Banach-Lie groupoids associated to \(W^*\)-algebras. (English) Zbl 1380.46051 J. Symplectic Geom. 14, No. 3, 687-736 (2016). Reviewer: Mădălina Buneci (Targu-Jiu) MSC: 46L87 20L05 17B37 53D17 PDFBibTeX XMLCite \textit{A. Odzijewicz} and \textit{A. Sliżewska}, J. Symplectic Geom. 14, No. 3, 687--736 (2016; Zbl 1380.46051) Full Text: DOI arXiv
Hawkins, Eli Quantization of Planck’s constant. (English) Zbl 1350.53107 J. Symplectic Geom. 14, No. 2, 587-655 (2016). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 46L65 PDFBibTeX XMLCite \textit{E. Hawkins}, J. Symplectic Geom. 14, No. 2, 587--655 (2016; Zbl 1350.53107) Full Text: DOI arXiv
Lopushansky, Oleh Radial boundary values of Poisson integrals on infinite-dimensional balls. (English) Zbl 1341.46029 Bound. Value Probl. 2016, Paper No. 29, 17 p. (2016). Reviewer: Christopher Boyd (Dublin) MSC: 46G20 46T12 46E50 PDFBibTeX XMLCite \textit{O. Lopushansky}, Bound. Value Probl. 2016, Paper No. 29, 17 p. (2016; Zbl 1341.46029) Full Text: DOI
Kohr, Mirela; Pintea, Cornel; Wendland, Wolfgang L. Poisson-transmission problems for \(L^\infty\)-perturbations of the Stokes system on Lipschitz domains in compact Riemannian manifolds. (English) Zbl 1381.58008 J. Dyn. Differ. Equations 27, No. 3-4, 823-839 (2015). MSC: 58J05 35J25 35B30 42B20 46E35 PDFBibTeX XMLCite \textit{M. Kohr} et al., J. Dyn. Differ. Equations 27, No. 3--4, 823--839 (2015; Zbl 1381.58008) Full Text: DOI
Klimčík, Ctirad On supermatrix models, Poisson geometry, and noncommutative supersymmetric gauge theories. (English) Zbl 1331.81224 J. Math. Phys. 56, No. 12, 122302, 22 p. (2015). Reviewer: Akira Asada (Takarazuka) MSC: 81T20 81T13 81T60 81T75 46S60 53D17 81R50 PDFBibTeX XMLCite \textit{C. Klimčík}, J. Math. Phys. 56, No. 12, 122302, 22 p. (2015; Zbl 1331.81224) Full Text: DOI arXiv HAL
Farkas, Csaba; Kristály, Alexandru; Varga, Csaba Singular Poisson equations on Finsler-Hadamard manifolds. (English) Zbl 1329.58018 Calc. Var. Partial Differ. Equ. 54, No. 2, 1219-1241 (2015). Reviewer: Andreas Kleefeld (Cottbus) MSC: 58J05 53C60 58J60 46E35 PDFBibTeX XMLCite \textit{C. Farkas} et al., Calc. Var. Partial Differ. Equ. 54, No. 2, 1219--1241 (2015; Zbl 1329.58018) Full Text: DOI arXiv
Stenzel, Matthew B. The Poisson transform on a compact real analytic Riemannian manifold. (English) Zbl 1333.46040 Monatsh. Math. 178, No. 2, 299-309 (2015). Reviewer: Denis Sidorov (Irkutsk) MSC: 46F12 43A85 58J05 PDFBibTeX XMLCite \textit{M. B. Stenzel}, Monatsh. Math. 178, No. 2, 299--309 (2015; Zbl 1333.46040) Full Text: DOI
Jorgensen, Palle; Pedersen, Steen; Tian, Feng Spectral theory of multiple intervals. (English) Zbl 1304.47082 Trans. Am. Math. Soc. 367, No. 3, 1671-1735 (2015). MSC: 47L60 47A25 47B25 35F15 42C10 34L25 35Q40 81Q35 81U35 46L45 46F12 PDFBibTeX XMLCite \textit{P. Jorgensen} et al., Trans. Am. Math. Soc. 367, No. 3, 1671--1735 (2015; Zbl 1304.47082) Full Text: DOI arXiv
Dherin, Benoit; Wagemann, Friedrich Deformation quantization of Leibniz algebras. (English) Zbl 1362.17004 Adv. Math. 270, 21-48 (2015). Reviewer: José Manuel Casas Mirás (Pontevedra) MSC: 17A32 46L65 53D55 PDFBibTeX XMLCite \textit{B. Dherin} and \textit{F. Wagemann}, Adv. Math. 270, 21--48 (2015; Zbl 1362.17004) Full Text: DOI arXiv
Tomatsu, Reiji Product type actions of \(G_q\). (English) Zbl 1326.46055 Adv. Math. 269, 162-196 (2015). MSC: 46L65 20G42 17B37 46L89 PDFBibTeX XMLCite \textit{R. Tomatsu}, Adv. Math. 269, 162--196 (2015; Zbl 1326.46055) Full Text: DOI arXiv
Entov, Michael Quasi-morphisms and quasi-states in symplectic topology. (English) Zbl 1373.53116 Jang, Sun Young (ed.) et al., Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13–21, 2014. Vol. II: Invited lectures. Seoul: KM Kyung Moon Sa (ISBN 978-89-6105-805-6/hbk; 978-89-6105-803-2/set). 1147-1171 (2014). MSC: 53D35 53D40 53D45 17B99 20F69 46L30 PDFBibTeX XMLCite \textit{M. Entov}, in: Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13--21, 2014. Vol. II: Invited lectures. Seoul: KM Kyung Moon Sa. 1147--1171 (2014; Zbl 1373.53116) Full Text: arXiv
Krýsl, Svatopluk Hodge theory for elliptic complexes over unital \(C^\ast\)-algebras. (English) Zbl 1316.58017 Ann. Global Anal. Geom. 45, No. 3, 197-210 (2014). Reviewer: Sérgio Luís Zani (São Carlos) MSC: 58J10 46L87 58A14 35J05 35S05 58J40 PDFBibTeX XMLCite \textit{S. Krýsl}, Ann. Global Anal. Geom. 45, No. 3, 197--210 (2014; Zbl 1316.58017) Full Text: DOI arXiv
Uchino, Kyousuke Noncommutative Poisson brackets on Loday algebras and related deformation quantization. (English) Zbl 1278.53084 J. Symplectic Geom. 11, No. 1, 93-108 (2013). Reviewer: Zhuo Chen (Beijing) MSC: 53D17 46L87 58J42 PDFBibTeX XMLCite \textit{K. Uchino}, J. Symplectic Geom. 11, No. 1, 93--108 (2013; Zbl 1278.53084) Full Text: DOI arXiv Euclid
Cianchi, Andrea Eigenfunctions of the Laplace-Beltrami operator, and isoperimetric and isocapacitary inequalities. (English) Zbl 1280.58017 Boll. Unione Mat. Ital. (9) 6, No. 1, 167-190 (2013). Reviewer: James Bernard Kennedy (Ulm) MSC: 58J50 53C21 35J05 35P99 46E35 47F05 PDFBibTeX XMLCite \textit{A. Cianchi}, Boll. Unione Mat. Ital. (9) 6, No. 1, 167--190 (2013; Zbl 1280.58017)
Bruggeman, R.; Lewis, J.; Zagier, D. Function theory related to the group \(\mathrm{PSL}_2(\mathbb R)\). (English) Zbl 1263.22007 Farkas, Hershel M. (ed.) et al., From Fourier analysis and number theory to Radon transforms and geometry. In Memory of Leon Ehrenpreis. Berlin: Springer (ISBN 978-1-4614-4074-1/hbk; 978-1-4614-4075-8/ebook). Developments in Mathematics 28, 107-201 (2013). Reviewer: Vasily A. Chernecky (Odessa) MSC: 22E45 22E30 22-06 32A45 35J08 43A65 46G15 58C40 22E50 PDFBibTeX XMLCite \textit{R. Bruggeman} et al., Dev. Math. 28, 107--201 (2013; Zbl 1263.22007) Full Text: DOI
Bogachev, Leonid; Daletskii, Alexei Cluster point processes on manifolds. (English) Zbl 1268.58025 J. Geom. Phys. 63, 45-79 (2013). Reviewer: Elisa Alòs (Barcelona) MSC: 58J65 46G12 60G55 70F45 53B21 PDFBibTeX XMLCite \textit{L. Bogachev} and \textit{A. Daletskii}, J. Geom. Phys. 63, 45--79 (2013; Zbl 1268.58025) Full Text: DOI arXiv
Hagedorn, D. Stochastic analysis with the gamma measure – moving a dense set. (English) Zbl 1277.60092 Theory Probab. Math. Stat. 85, 149-158 (2012); translation from Teor. Jmovirn. Mat. Stat. 85, 131-139 (2011). MSC: 60G57 28C20 46G12 58B20 58J65 60G55 PDFBibTeX XMLCite \textit{D. Hagedorn}, Theory Probab. Math. Stat. 85, 149--158 (2012; Zbl 1277.60092); translation from Teor. Jmovirn. Mat. Stat. 85, 131--139 (2011) Full Text: DOI
Pelletier, F. Integrability of weak distributions on Banach manifolds. (English) Zbl 1286.46087 Indag. Math., New Ser. 23, No. 3, 214-242 (2012). Reviewer: Helge Glöckner (Paderborn) MSC: 46T05 53C12 53D17 PDFBibTeX XMLCite \textit{F. Pelletier}, Indag. Math., New Ser. 23, No. 3, 214--242 (2012; Zbl 1286.46087) Full Text: DOI arXiv
Choffrut, Antoine; Šverák, Vladimír Local structure of the set of steady-state solutions to the 2D incompressible Euler equations. (English) Zbl 1256.35076 Geom. Funct. Anal. 22, No. 1, 136-201 (2012). Reviewer: Cornelia Vizman (Timişoara) MSC: 35Q35 37C25 37K65 46T05 58C15 58D05 PDFBibTeX XMLCite \textit{A. Choffrut} and \textit{V. Šverák}, Geom. Funct. Anal. 22, No. 1, 136--201 (2012; Zbl 1256.35076) Full Text: DOI arXiv
Alekseev, A.; Meinrenken, E. Dirac structures and Dixmier-Douady bundles. (English) Zbl 1244.46038 Int. Math. Res. Not. 2012, No. 4, 904-956 (2012). MSC: 46M20 46L99 53D17 53D20 PDFBibTeX XMLCite \textit{A. Alekseev} and \textit{E. Meinrenken}, Int. Math. Res. Not. 2012, No. 4, 904--956 (2012; Zbl 1244.46038) Full Text: DOI arXiv
Ida, Cristian Lichnerowicz-Poisson cohomology and Banach Lie Algebroids. (English) Zbl 1250.53073 Ann. Funct. Anal. 2, No. 2, 130-137 (2011). MSC: 53D17 46T05 57N20 58A99 PDFBibTeX XMLCite \textit{C. Ida}, Ann. Funct. Anal. 2, No. 2, 130--137 (2011; Zbl 1250.53073) Full Text: DOI EMIS
Gurevich, Dimitri; Saponov, Pavel Quantization of pencils with a \(gl\)-type Poisson center and braided geometry. (English) Zbl 1248.81090 Abramov, Viktor (ed.) et al., Algebra, geometry and mathematical physics. Selected papers based on the presentations at the V Baltic-Nordic workshop on algebra, geometry and mathematical physics, Będlewo, Poland, October 12–16, 2009. Warszawa: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-12-6/pbk). Banach Center Publications 93, 145-162 (2011). MSC: 81R60 81S10 53D50 53D17 46S60 22E70 PDFBibTeX XMLCite \textit{D. Gurevich} and \textit{P. Saponov}, Banach Cent. Publ. 93, 145--162 (2011; Zbl 1248.81090) Full Text: DOI arXiv
Bertelson, Mélanie Remarks on a Künneth formula for foliated de Rham cohomology. (English) Zbl 1254.53049 Pac. J. Math. 252, No. 2, 257-274 (2011). Reviewer: Robert A. Wolak (Kraków) MSC: 53C12 46A32 46E10 53D17 46A63 46M18 46A04 PDFBibTeX XMLCite \textit{M. Bertelson}, Pac. J. Math. 252, No. 2, 257--274 (2011; Zbl 1254.53049) Full Text: DOI Link
Kahng, Byung-Jay A \((2n+1)\)-dimensional quantum group constructed from a skew-symmetric matrix. (English) Zbl 1242.46084 J. Geom. Phys. 61, No. 11, 2081-2097 (2011). MSC: 46L65 53D17 81R50 17B37 PDFBibTeX XMLCite \textit{B.-J. Kahng}, J. Geom. Phys. 61, No. 11, 2081--2097 (2011; Zbl 1242.46084) Full Text: DOI arXiv
Amir, Anat Sharpness of Zapolsky’s inequality for quasi-states and Poisson brackets. (English) Zbl 1229.46040 Electron. Res. Announc. Math. Sci. 18, 61-68 (2011). MSC: 46L30 53D17 28C15 PDFBibTeX XMLCite \textit{A. Amir}, Electron. Res. Announc. Math. Sci. 18, 61--68 (2011; Zbl 1229.46040) Full Text: DOI arXiv
Ratiu, Tudor S. Coadjoint orbits and the beginnings of a geometric representation theory. (English) Zbl 1223.22019 Neeb, Karl-Hermann (ed.) et al., Developments and trends in infinite-dimensional Lie theory. Basel: Birkhäuser (ISBN 978-0-8176-4740-7/hbk; 978-0-8176-4741-4/ebook). Progress in Mathematics 288, 417-457 (2011). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 22E66 53D17 22E46 46T05 53D20 PDFBibTeX XMLCite \textit{T. S. Ratiu}, Prog. Math. 288, 417--457 (2011; Zbl 1223.22019) Full Text: DOI
Su, Jiabao; Wang, Zhi-Qiang Sobolev type embedding and quasilinear elliptic equations with radial potentials. (English) Zbl 1206.35243 J. Differ. Equations 250, No. 1, 223-242 (2011). MSC: 35R05 35J05 35J20 35J62 58C20 46E35 PDFBibTeX XMLCite \textit{J. Su} and \textit{Z.-Q. Wang}, J. Differ. Equations 250, No. 1, 223--242 (2011; Zbl 1206.35243) Full Text: DOI
Su, Jiabao; Tian, Rushun Weighted Sobolev embeddings and radial solutions of inhomogeneous quasilinear elliptic equations. (English) Zbl 1200.35143 Commun. Pure Appl. Anal. 9, No. 4, 885-904 (2010). MSC: 35J62 35J05 35J20 58C20 46E35 PDFBibTeX XMLCite \textit{J. Su} and \textit{R. Tian}, Commun. Pure Appl. Anal. 9, No. 4, 885--904 (2010; Zbl 1200.35143) Full Text: DOI
Exel, R. Reconstructing a totally disconnected groupoid from its ample semigroup. (English) Zbl 1195.22002 Proc. Am. Math. Soc. 138, No. 8, 2991-3001 (2010). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 22A22 53D17 53D10 46L55 20M18 PDFBibTeX XMLCite \textit{R. Exel}, Proc. Am. Math. Soc. 138, No. 8, 2991--3001 (2010; Zbl 1195.22002) Full Text: DOI arXiv
Goliński, Tomasz; Odzijewicz, Anatol Hierarchy of Hamilton equations on Banach Lie-Poisson spaces related to restricted Grassmannian. (English) Zbl 1191.53053 J. Funct. Anal. 258, No. 10, 3266-3294 (2010). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 46T05 PDFBibTeX XMLCite \textit{T. Goliński} and \textit{A. Odzijewicz}, J. Funct. Anal. 258, No. 10, 3266--3294 (2010; Zbl 1191.53053) Full Text: DOI arXiv
Bahayou, Amine; Boucetta, Mohamed Metacurvature of Riemannian Poisson-Lie groups. (English) Zbl 1186.58006 J. Lie Theory 19, No. 3, 439-462 (2009). Reviewer: Mădălina Buneci (Targu-Jiu) MSC: 58B34 53D17 46L65 46L89 PDFBibTeX XMLCite \textit{A. Bahayou} and \textit{M. Boucetta}, J. Lie Theory 19, No. 3, 439--462 (2009; Zbl 1186.58006) Full Text: Link
Baianu, Ion C.; Glazebrook, James F.; Brown, Ronald Algebraic topology foundations of supersymmetry and symmetry breaking in quantum field theory and quantum gravity: a review. (English) Zbl 1160.81300 SIGMA, Symmetry Integrability Geom. Methods Appl. 5, Paper 051, 70 p. (2009). MSC: 81-02 81R40 16W30 22A22 81R50 43A05 46L10 PDFBibTeX XMLCite \textit{I. C. Baianu} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 5, Paper 051, 70 p. (2009; Zbl 1160.81300) Full Text: DOI arXiv EuDML
Tuynman, Gijs M. Prequantization of symplectic supermanifolds. (English) Zbl 1192.53075 Mladenov, Ivaïlo M. (ed.), Proceedings of the 9th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 8–13, 2007. Sofia: Bulgarian Academy of Sciences (ISBN 978-954-8495-42-4/pbk). 301-307 (2008). MSC: 53D50 46S60 58C50 PDFBibTeX XMLCite \textit{G. M. Tuynman}, in: Proceedings of the 9th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 8--13, 2007. Sofia: Bulgarian Academy of Sciences. 301--307 (2008; Zbl 1192.53075) Full Text: arXiv
Popescu, Gelu Hyperbolic geometry on the unit ball of \(B({\mathcal H})^n\) and dilation theory. (English) Zbl 1171.47007 Indiana Univ. Math. J. 57, No. 6, 2891-2930 (2008). Reviewer: Dan E. Popovici (Timişoara) MSC: 47A20 46L52 32F45 47A56 32Q45 PDFBibTeX XMLCite \textit{G. Popescu}, Indiana Univ. Math. J. 57, No. 6, 2891--2930 (2008; Zbl 1171.47007) Full Text: DOI arXiv
Mel’nichenko, I. P.; Plaska, S. A. Commutative algebras and three-dimensional potential fields. (Коммутативные алгебры и пространственные потенциальные поля.) (Russian) Zbl 1199.31001 Pratsi Instytutu Matematyky Natsional’noïAkademiïNauk Ukraïny. Matematyka ta ïïZastosuvannya 71. Kyïv: Instytut Matematyky NAN Ukraïny (ISBN 978-966-02-4648-5). 231 p. (2008). MSC: 31-02 13-02 31B10 31C15 35J05 76B07 76D07 58C25 30G35 30H05 32A38 46J15 PDFBibTeX XMLCite \textit{I. P. Mel'nichenko} and \textit{S. A. Plaska}, Коммутативные алгебры и пространственные потенциальные поля (Russian). Kyïv: Instytut Matematyky NAN Ukraïny (2008; Zbl 1199.31001)
Vershik, A. M. Invariant measures for the continual Cartan subgroup. (English) Zbl 1187.37007 J. Funct. Anal. 255, No. 9, 2661-2682 (2008). Reviewer: Zagorka Lozanov-Crvenković (Novi Sad) MSC: 37A15 37A05 46T12 PDFBibTeX XMLCite \textit{A. M. Vershik}, J. Funct. Anal. 255, No. 9, 2661--2682 (2008; Zbl 1187.37007) Full Text: DOI arXiv
Rosenberg, Jonathan Noncommutative variations on Laplace’s equation. (English) Zbl 1159.58005 Anal. PDE 1, No. 1, 95-114 (2008). Reviewer: Agostino Prástaro (Roma) MSC: 58B34 58J05 35J05 35J20 30D30 46L87 PDFBibTeX XMLCite \textit{J. Rosenberg}, Anal. PDE 1, No. 1, 95--114 (2008; Zbl 1159.58005) Full Text: DOI arXiv
Odzijewicz, Anatol; Ratiu, Tudor S. Induced and coinduced Banach Lie-Poisson spaces and integrability. (English) Zbl 1157.53044 J. Funct. Anal. 255, No. 5, 1225-1272 (2008). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 37K05 46T05 PDFBibTeX XMLCite \textit{A. Odzijewicz} and \textit{T. S. Ratiu}, J. Funct. Anal. 255, No. 5, 1225--1272 (2008; Zbl 1157.53044) Full Text: DOI
Hawkins, Eli A groupoid approach to quantization. (English) Zbl 1154.46041 J. Symplectic Geom. 6, No. 1, 61-125 (2008). MSC: 46L65 53D17 22A22 53D50 58A05 PDFBibTeX XMLCite \textit{E. Hawkins}, J. Symplectic Geom. 6, No. 1, 61--125 (2008; Zbl 1154.46041) Full Text: DOI arXiv Euclid
Odzijewicz, Anatol; Ratiu, Tudor S. Induction for weak symplectic Banach manifolds. (English) Zbl 1145.53061 J. Geom. Phys. 58, No. 6, 701-719 (2008). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D05 53D17 53Z05 37J35 46N20 46T05 58B20 PDFBibTeX XMLCite \textit{A. Odzijewicz} and \textit{T. S. Ratiu}, J. Geom. Phys. 58, No. 6, 701--719 (2008; Zbl 1145.53061) Full Text: DOI
Boucetta, Mohamed Solutions of the classical Yang-Baxter equation and noncommutative deformations. (English) Zbl 1139.58002 Lett. Math. Phys. 83, No. 1, 69-81 (2008). MSC: 58B34 46L65 53D17 PDFBibTeX XMLCite \textit{M. Boucetta}, Lett. Math. Phys. 83, No. 1, 69--81 (2008; Zbl 1139.58002) Full Text: DOI arXiv
Arnal, Didier; Dahmene, Najla; Tounsi, Khaled Poisson action and formality. (English) Zbl 1132.53045 Lett. Math. Phys. 82, No. 2-3, 177-189 (2007). MSC: 53D17 46L65 58D19 PDFBibTeX XMLCite \textit{D. Arnal} et al., Lett. Math. Phys. 82, No. 2--3, 177--189 (2007; Zbl 1132.53045) Full Text: DOI
Racanière, Sébastien Examples of quantisation of Poisson manifolds. (English) Zbl 1108.46048 J. Geom. Phys. 56, No. 9, 1810-1836 (2006). MSC: 46L65 53D17 PDFBibTeX XMLCite \textit{S. Racanière}, J. Geom. Phys. 56, No. 9, 1810--1836 (2006; Zbl 1108.46048) Full Text: DOI arXiv
Kahng, Byung-Jay Quantizations of some Poisson–Lie groups: the bicrossed product construction. (English) Zbl 1095.46042 J. Geom. Phys. 56, No. 3, 485-511 (2006). MSC: 46L65 53D17 81R50 PDFBibTeX XMLCite \textit{B.-J. Kahng}, J. Geom. Phys. 56, No. 3, 485--511 (2006; Zbl 1095.46042) Full Text: DOI arXiv
Waldmann, Stefan States and representations in deformation quantization. (English) Zbl 1138.53316 Rev. Math. Phys. 17, No. 1, 15-75 (2005). MSC: 53D55 46L65 53D17 81S10 PDFBibTeX XMLCite \textit{S. Waldmann}, Rev. Math. Phys. 17, No. 1, 15--75 (2005; Zbl 1138.53316) Full Text: DOI arXiv
Odzijewicz, Anatol; Ratiu, Tudor S. Banach Lie-Poisson spaces. (English) Zbl 1102.53057 Ali, S. Twareque (ed.) et al., Twenty years of Bialowieza: A mathematical anthology. Aspects of differential geometric methods in physics. Hackensack, NJ: World Scientific (ISBN 981-256-146-3/hbk). World Scientific Monograph Series in Mathematics 8, 113-127 (2005). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 53D17 17B63 46L10 46N50 PDFBibTeX XMLCite \textit{A. Odzijewicz} and \textit{T. S. Ratiu}, World Sci. Monogr. Ser. Math. 8, 113--127 (2005; Zbl 1102.53057)
Grabowski, Janusz; Kuś, Marek; Marmo, Giuseppe Geometry of quantum systems: density states and entanglement. (English) Zbl 1085.81017 J. Phys. A, Math. Gen. 38, No. 47, 10217-10244 (2005). Reviewer: Eugene Kryachko (Liège) MSC: 81P15 81P68 46C05 32Q15 81Q70 58B32 PDFBibTeX XMLCite \textit{J. Grabowski} et al., J. Phys. A, Math. Gen. 38, No. 47, 10217--10244 (2005; Zbl 1085.81017) Full Text: DOI arXiv
Beltiţă, D.; Ratiu, T. S. Symplectic leaves in real Banach Lie-Poisson spaces. (English) Zbl 1083.58011 Geom. Funct. Anal. 15, No. 4, 753-779 (2005). Reviewer: Hiroaki Shimomura (Kochi) MSC: 58B25 46L10 53D17 37K65 46L99 PDFBibTeX XMLCite \textit{D. Beltiţă} and \textit{T. S. Ratiu}, Geom. Funct. Anal. 15, No. 4, 753--779 (2005; Zbl 1083.58011) Full Text: DOI arXiv
Giachetta, Giovanni; Mangiarotti, Luigi; Sardanashvily, Gennadi Geometric and algebraic topological methods in quantum mechanics. (English) Zbl 1080.53002 River Edge, NJ: World Scientific (ISBN 981-256-129-3/hbk). x, 703 p. (2005). Reviewer: Mircea Puta (Timişoara) MSC: 53-02 53D17 58A50 58B32 81S10 58-02 53D50 53D55 46L87 PDFBibTeX XMLCite \textit{G. Giachetta} et al., Geometric and algebraic topological methods in quantum mechanics. River Edge, NJ: World Scientific (2005; Zbl 1080.53002) Full Text: arXiv
Mitrea, Marius Sharp Hodge decompositions, Maxwell’s equations, and vector Poisson problems on nonsmooth, three-dimensional Riemannian manifolds. (English) Zbl 1073.31006 Duke Math. J. 125, No. 3, 467-547 (2004). Reviewer: Eleutherius Symeonidis (Eichstätt) MSC: 31C12 35Q60 58A14 58J32 31B10 35J25 42B20 46E35 PDFBibTeX XMLCite \textit{M. Mitrea}, Duke Math. J. 125, No. 3, 467--547 (2004; Zbl 1073.31006) Full Text: DOI
Odzijewicz, Anatol; Ratiu, Tudor S. Extensions of Banach Lie-Poisson spaces. (English) Zbl 1067.53065 J. Funct. Anal. 217, No. 1, 103-125 (2004). Reviewer: Janusz Grabowski (Warszawa) MSC: 53D17 17B65 37K05 46B10 46L10 53Z05 PDFBibTeX XMLCite \textit{A. Odzijewicz} and \textit{T. S. Ratiu}, J. Funct. Anal. 217, No. 1, 103--125 (2004; Zbl 1067.53065) Full Text: DOI arXiv
Odzijewicz, Anatol; Ratiu, Tudor S. Banach Lie-Poisson spaces and reduction. (English) Zbl 1044.53057 Commun. Math. Phys. 243, No. 1, 1-54 (2003). Reviewer: Olga Radko (Los Angeles) MSC: 53D17 46L99 37K65 58B25 PDFBibTeX XMLCite \textit{A. Odzijewicz} and \textit{T. S. Ratiu}, Commun. Math. Phys. 243, No. 1, 1--54 (2003; Zbl 1044.53057) Full Text: DOI arXiv
Albeverio, Sergio; Daletskii, Alexei; Kondratiev, Yuri; Lytvynov, Eugene Laplace operators in deRham complexes associated with measures on configuration spaces. (English) Zbl 1026.60060 J. Geom. Phys. 47, No. 2-3, 259-302 (2003). Reviewer: J.Picard (Aubière) MSC: 60G55 58A10 58A12 58J65 46M20 58J10 82C22 PDFBibTeX XMLCite \textit{S. Albeverio} et al., J. Geom. Phys. 47, No. 2--3, 259--302 (2003; Zbl 1026.60060) Full Text: DOI arXiv
Odzijewicz, Anatol; Ratiu, Tudor The Banach Poisson geometry of multi-diagonal Toda-like lattices. arXiv:math/0310318 Preprint, arXiv:math/0310318 [math.SG] (2003). MSC: 53D05 53D17 53Z05 37J35 46N20 46T05 BibTeX Cite \textit{A. Odzijewicz} and \textit{T. Ratiu}, ``The Banach Poisson geometry of multi-diagonal Toda-like lattices'', Preprint, arXiv:math/0310318 [math.SG] (2003) Full Text: arXiv
Rokhnizadeh, Rasoul; Doebner, Hans Dietrich Geometric formulation of Berezin quantization. (English) Zbl 1040.81049 Nikitin, A. G. (ed.) et al., Proceedings of the fourth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, July 9–15, 2001. Part 2. Dedicated to the 200th anniversary of M. Ostrohrads’kyi. Kyïv: Institute of Mathematics of NAS of Ukraine (ISBN 966-02-2486-9). Proc. Inst. Math. Natl. Acad. Sci. Ukr., Math. Appl. 43(2), 683-687 (2002). Reviewer: A. Sergyeyev (Kyïv) MSC: 81S10 81R30 81Q10 46C05 22E70 53D17 53D50 32Q15 PDFBibTeX XMLCite \textit{R. Rokhnizadeh} and \textit{H. D. Doebner}, in: Proceedings of the fourth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, July 9--15, 2001. Part 2. Dedicated to the 200th anniversary of M. Ostrohrads'kyi. Kyïv: Institute of Mathematics of NAS of Ukraine. 683--687 (2002; Zbl 1040.81049)
Landsman, N. P. Quantization as a functor. (English) Zbl 1034.46065 Voronov, Theodore (ed.), Quantization, Poisson brackets and beyond. London Mathematical Society regional meeting and workshop on quantization, deformations, and new homological and categorical methods in mathematical physics, Manchester, UK, July 6–13, 2001. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3201-8). Contemp. Math. 315, 9-24 (2002). MSC: 46L65 46L60 46L87 81S10 22A22 PDFBibTeX XMLCite \textit{N. P. Landsman}, Contemp. Math. 315, 9--24 (2002; Zbl 1034.46065) Full Text: arXiv
Voronov, Theodore (ed.) Quantization, Poisson brackets and beyond. London Mathematical Society regional meeting and workshop on quantization, deformations, and new homological and categorical methods in mathematical physics, Manchester, UK, July 6–13, 2001. (English) Zbl 1007.53002 Contemporary Mathematics. 315. Providence, RI: American Mathematical Society (AMS). vi, 278 p. (2002). MSC: 53-06 46-06 17-06 58-06 53D55 17B37 53D17 PDFBibTeX XMLCite \textit{T. Voronov} (ed.), Quantization, Poisson brackets and beyond. London Mathematical Society regional meeting and workshop on quantization, deformations, and new homological and categorical methods in mathematical physics, Manchester, UK, July 6--13, 2001. Providence, RI: American Mathematical Society (AMS) (2002; Zbl 1007.53002) Full Text: DOI
Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira Singular systems of exponential functions. (English) Zbl 1049.53063 Maeda, Yoshiaki (ed.) et al., Noncommutative differential geometry and its applications to physics. Proceedings of the workshop, Shonan, Japan, May 31–June 4, 1999. Dordrecht: Kluwer Academic Publishers (ISBN 0-7923-6930-0/hbk). Math. Phys. Stud. 23, 169-186 (2001). Reviewer: Benjamin Cahen (Metz) MSC: 53D55 53D17 46F20 PDFBibTeX XMLCite \textit{H. Omori} et al., Math. Phys. Stud. 23, 169--186 (2001; Zbl 1049.53063)
Landsman, N. P. Bicategories of operator algebras and Poisson manifolds. (English) Zbl 1023.18009 Longo, Roberto (ed.), Mathematical physics in mathematics and physics. Quantum and operator algebraic aspects. Proceedings of a conference, Siena, Italy, June 20-24, 2000. Dedicated to Sergio Doplicher and John E. Roberts on the occasion of their 60th birthday. Providence, RI: AMS, American Mathematical Society. Fields Inst. Commun. 30, 271-286 (2001). Reviewer: Bernhard Drabant (Mühlhausen) MSC: 18D05 53D17 46L08 22A22 57N10 57M25 57T05 PDFBibTeX XMLCite \textit{N. P. Landsman}, Fields Inst. Commun. 30, 271--286 (2001; Zbl 1023.18009) Full Text: arXiv
Landsman, N. P. Operator algebras and Poisson manifolds associated to groupoids. (English) Zbl 1013.46060 Commun. Math. Phys. 222, No. 1, 97-116 (2001). Reviewer: Florin P.Boca (Urbana) MSC: 46L87 22A22 58H05 53D17 PDFBibTeX XMLCite \textit{N. P. Landsman}, Commun. Math. Phys. 222, No. 1, 97--116 (2001; Zbl 1013.46060) Full Text: DOI
Albeverio, Sergio; Daletskii, Alexei; Lytvynov, Eugene De Rham cohomology of configuration spaces with Poisson measure. (English) Zbl 0989.60049 J. Funct. Anal. 185, No. 1, 240-273 (2001). Reviewer: Nicolas Privault (La Rochelle) MSC: 60G57 58A12 58J65 58A10 46M20 PDFBibTeX XMLCite \textit{S. Albeverio} et al., J. Funct. Anal. 185, No. 1, 240--273 (2001; Zbl 0989.60049) Full Text: DOI arXiv
Arnaudon, Marc; Belopolskaya, Yana; Paycha, Sylvie Renormalized Laplacians on a class of Hilbert manifolds and a Bochner-Weitzenböck type formula for current groups. (English) Zbl 1032.58019 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 3, No. 1, 53-98 (2000). MSC: 58J65 35J05 35R15 46T20 PDFBibTeX XMLCite \textit{M. Arnaudon} et al., Infin. Dimens. Anal. Quantum Probab. Relat. Top. 3, No. 1, 53--98 (2000; Zbl 1032.58019) Full Text: DOI
Landsman, N. P. Functoriality and Morita equivalence of operator algebras and Poisson manifolds associated to groupoids. arXiv:math-ph/0008036 Preprint, arXiv:math-ph/0008036 [math-ph] (2000). MSC: 46L08 22A22 53D17 BibTeX Cite \textit{N. P. Landsman}, ``Functoriality and Morita equivalence of operator algebras and Poisson manifolds associated to groupoids'', Preprint, arXiv:math-ph/0008036 [math-ph] (2000) Full Text: arXiv
Kondratiev, Yuri G.; Lytvynov, Eugene W.; Us, Georgi F. Analysis and geometry on \({\mathbb R}_{+}\)-marked configuration space. (English) Zbl 0956.58004 Methods Funct. Anal. Topol. 5, No. 1, 29-64 (1999). Reviewer: A.N.Kochubei (Kyïv) MSC: 58D20 46T12 22E65 PDFBibTeX XMLCite \textit{Y. G. Kondratiev} et al., Methods Funct. Anal. Topol. 5, No. 1, 29--64 (1999; Zbl 0956.58004) Full Text: arXiv
Cannas da Silva, Ana; Weinstein, Alan Geometric models for noncommutative algebras. (English) Zbl 1135.58300 Berkeley Mathematics Lecture Notes 10. Providence, RI: American Mathematical Society (AMS); Berkekey, CA: Berkeley Center for Pure and Applied Mathematics (ISBN 0-8218-0952-0/pbk). xiv, 184 p. (1999). MSC: 58B34 58B32 16S80 17B63 46L89 53D17 53D55 PDFBibTeX XMLCite \textit{A. Cannas da Silva} and \textit{A. Weinstein}, Geometric models for noncommutative algebras. Providence, RI: American Mathematical Society (AMS); Berkekey, CA: Berkeley Center for Pure and Applied Mathematics (1999; Zbl 1135.58300)
Ledoux, Michel Concentration of measure and logarithmic Sobolev inequalities. (English) Zbl 0957.60016 Azéma, Jacques (ed.) et al., Séminaire de probabilités XXXIII. Berlin: Springer. Lect. Notes Math. 1709, 120-216 (1999). Reviewer: Walter Farkas (Regensburg) MSC: 60E15 60J35 60J65 46E35 PDFBibTeX XMLCite \textit{M. Ledoux}, Lect. Notes Math. 1709, 120--216 (1999; Zbl 0957.60016) Full Text: Numdam EuDML
Landsman, N. P. Lie groupoid \(C^*\)-algebras and Weyl quantization. (English) Zbl 0964.46043 Commun. Math. Phys. 206, No. 2, 367-381 (1999). Reviewer: Catalin Badea (Villeneuve d’Ascq) MSC: 46L65 PDFBibTeX XMLCite \textit{N. P. Landsman}, Commun. Math. Phys. 206, No. 2, 367--381 (1999; Zbl 0964.46043) Full Text: DOI arXiv
Sigua, L. Screen problem for vector Helmholtz equation. (English) Zbl 0933.35050 Math. Nachr. 206, 147-161 (1999). MSC: 35J05 35Q60 35S15 46E35 35B65 PDFBibTeX XMLCite \textit{L. Sigua}, Math. Nachr. 206, 147--161 (1999; Zbl 0933.35050) Full Text: DOI