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Quantization, PDEs, and Geometry: The Interplay of Analysis and Mathematical Physics
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Catalogue Record 37041
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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
Links to Related Works
Subject References:
Differential Geometry
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Global Analysis and Analysis on Manifolds
.
Global analysis (Mathematics)
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Manifolds (Mathematics)
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Mathematical Physics
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Mathematics
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Partial differential equations
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Authors:
Bahns, Dorothea
.
Bauer, Wolfram
.
Witt, Ingo
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Corporate Authors:
SpringerLink (Online service)
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Series:
Operator theory : advances and applications
.
Classification:
515.353
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