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Quantization, PDEs, and Geometry: The Interplay of Analysis and Mathematical Physics

Quantization, PDEs, and Geometry: The Interplay of Analysis and Mathematical Physics
Catalogue Information
Field name Details
Dewey Class 515.353
Title Quantization, PDEs, and Geometry ([EBook]) : The Interplay of Analysis and Mathematical Physics / / edited by Dorothea Bahns, Wolfram Bauer, Ingo Witt.
Added Personal Name Bahns, Dorothea editor.
Bauer, Wolfram editor.
Witt, Ingo editor.
Other name(s) SpringerLink (Online service)
Edition statement 1st ed. 2016.
Publication Cham : : Springer International Publishing : : Imprint: Birkhäuser, , 2016.
Physical Details VIII, 314 p. 16 illus., 11 illus. in color. : online resource.
Series Operator theory : advances and applications 0255-0156 ; ; 251
ISBN 9783319224077
Summary Note 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.:
Contents note 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.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/978-3-319-22407-7
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