**Contemporary Mathematics**

Volume: 289;
2001;
272 pp;
Softcover

MSC: Primary 40; 30; 81; 42; 47; 35;

Print ISBN: 978-0-8218-2708-6

Product Code: CONM/289

List Price: $84.00

Individual Member Price: $67.20

**Electronic ISBN: 978-0-8218-7879-8
Product Code: CONM/289.E**

List Price: $84.00

Individual Member Price: $67.20

# Second Summer School in Analysis and Mathematical Physics: Topics in Analysis: Harmonic, Complex, Nonlinear and Quantization

Share this page *Edited by *
*Salvador Pérez-Esteva; Carlos Villegas-Blas*

For the second time, a Summer School in Analysis and Mathematical Physics took place at the Universidad Nacional Autónoma de México in Cuernavaca. The purpose of the schools is to provide a bridge from standard graduate courses in mathematics to current research topics, particularly in analysis. The lectures are given by internationally recognized specialists in the fields. The topics covered in this Second Summer School include harmonic analysis, complex analysis, pseudodifferential operators, the mathematics of quantum chaos, and non-linear analysis.

This book is published in cooperation with Sociedad Matemática Mexicana

#### Readership

Graduate students and research mathematicians interested in analysis and mathematical physics.

# Table of Contents

## Second Summer School in Analysis and Mathematical Physics: Topics in Analysis: Harmonic, Complex, Nonlinear and Quantization

- Contents vii8 free
- Introduction ix10 free
- Chapter I: Lecture notes on dyadic harmonic analysis 114 free
- Chapter II: A short course on the Kato problem 6174
- Chapter III: Toeplitz operators on the Bergman spaces: Inside-the-domain effects 7992
- 1. Introduction 7992
- 2. Preliminaries 8093
- 3. Bergman and Poly-Bergman Spaces 90103
- 4. Bergman Type Spaces on the Unit Disk 99112
- 5. Toeplitz Operators with Commutative Symbol Algebras 109122
- 6. Toeplitz Operators on the Unit Disk with Radial Symbols 123136
- 7. Commutative Toeplitz Operator Algebras and Hyperbolic Geometry 134147
- References 145158

- Chapter IV: Pseudo-differential operators and quantization 147160
- Chapter V: Quantum chaos: A brief first visit 161174
- Chapter VI: Variational methods in nonlinear analysis 219232
- Chapter VII: A globalization of the implicit function theorem with applications to nonlinear elliptic equations 249262