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＜電子ブック＞
Quantization, PDEs, and Geometry : The Interplay of Analysis and Mathematical Physics / edited by Dorothea Bahns, Wolfram Bauer, Ingo Witt
(Advances in Partial Differential Equations. ISSN:25043595 ; 251)

版	1st ed. 2016.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2016
大きさ	VIII, 314 p. 16 illus., 5 illus. in color : online resource
著者標目	Bahns, Dorothea editor Bauer, Wolfram editor Witt, Ingo editor SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:Geometry, Differential LCSH:Global analysis (Mathematics) LCSH:Manifolds (Mathematics) LCSH:Mathematical physics FREE:Differential Equations FREE:Differential Geometry FREE:Global Analysis and Analysis on Manifolds FREE:Mathematical Physics
一般注記	Introduction -- Todor Gramchev: Gelfand-Shilov Spaces: Structural Properties and Applications to Pseudodifferential Operators in \R^n -- Miroslav Englis: An Excursion into Berezin-Toeplitz Quantization and Related Topics -- Andrew Comech: Global Attraction to Solitary Waves -- Irina Markina: Geodesics in Geometry with Constraints and Applications This book presents four survey articles on different topics in mathematical analysis that are closely linked to concepts and applications in physics. Specifically, it discusses global aspects of elliptic PDEs, Berezin-Toeplitz quantization, the stability of solitary waves, and sub-Riemannian geometry. The contributions are based on lectures given by distinguished experts at a summer school in Göttingen. The authors explain fundamental concepts and ideas and present them clearly. Starting from basic notions, these course notes take the reader to the point of current research, highlighting new challenges and addressing unsolved problems at the interface between mathematics and physics. All contributions are of interest to researchers in the respective fields, but they are also accessible to graduate students HTTP:URL=https://doi.org/10.1007/978-3-319-22407-7

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