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

• Corporate Author: SpringerLink (Online service)
• Other Authors: Bahns, Dorothea (Editor), Bauer, Wolfram (Editor), Witt, Ingo (Editor)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
• Edition: 1st ed. 2016.
• Series: Operator Theory: Advances and Applications, 251
• Subjects: Mathematics.; Global analysis (Mathematics).; Manifolds (Mathematics).; Partial differential equations.; Differential geometry.; Mathematical physics.; Partial Differential Equations.; Differential Geometry.; Global Analysis and Analysis on Manifolds.; Mathematical Physics.

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 geometr...

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.