Quantization, PDEs, and Geometry : The Interplay of Analysis and Mathematical Physics (1st ed. 2016.)

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Quantization, PDEs, and Geometry : The Interplay of Analysis and Mathematical Physics (1st ed. 2016.)

フォーマット:
電子ブック
責任表示:
edited by Dorothea Bahns, Wolfram Bauer, Ingo Witt
本文言語:
英語
出版情報:
Cham, Germany. 2016-. Springer International Publishing,Imprint: Birkhäuser
シリーズ:
Operator Theory: Advances and Applications; 251
概要:
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. 続きを見る
目次:
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.
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.

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