Global Pseudo-Differential Calculus on Euclidean Spaces

• Main Authors: Nicola, Fabio (Author), Rodino, Luigi (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2010.
• Series: Pseudo-Differential Operators, Theory and Applications ; 4
• Subjects: Mathematics.; Fourier analysis.; Functional analysis.; Global analysis (Mathematics).; Manifolds (Mathematics).; Partial differential equations.; Partial Differential Equations.; Global Analysis and Analysis on Manifolds.; Fourier Analysis.; Functional Analysis.

This book is devoted to the global pseudo-differential calculus on Euclidean spaces and its applications to geometry and mathematical physics, with emphasis on operators of linear and non-linear quantum physics and travelling waves equations. The pseudo-differential calculus presented here has an el...

Table of Contents:

• Background meterial
• Global Pseudo-Differential Calculus
• ?-Pseudo-Differential Operators and H-Polynomials
• G-Pseudo-Differential Operators
• Spectral Theory
• Non-Commutative Residue and Dixmier Trace
• Exponential Decay and Holomorphic Extension of Solutions.