Bibliograph

Quantization, PDEs, and Geometry, The Interplay of Analysis and Mathematical Physics, edited by Dorothea Bahns, Wolfram Bauer, Ingo Witt

Type

Label

Quantization, PDEs, and Geometry, The Interplay of Analysis and Mathematical Physics, edited by Dorothea Bahns, Wolfram Bauer, Ingo Witt

Language

eng

resource.imageBitDepth

Literary Form

non fiction

Main title

Quantization, PDEs, and Geometry

Medium

electronic resource

Oclc number

939404628

Responsibility statement

edited by Dorothea Bahns, Wolfram Bauer, Ingo Witt

Series statement

Operator Theory: Advances and Applications,, 251, 0255-0156

Sub title

The Interplay of Analysis and Mathematical Physics

Summary

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

Table Of Contents

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

Contributor

Subject