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

• M. C. Pereyra -- Lecture notes on dyadic harmonic analysis
• S. Hofmann -- A short course on the Kato problem
• N. L. Vasilevski -- Toeplitz operators on the Bergman spaces: Inside-the-domain effects
• Y. V. Egorov -- Pseudo-differential operators and quantization
• S. De Bièvre -- Quantum chaos: A brief first visit
• P. Padilla -- Variational methods in nonlinear analysis
• J. Jacobsen -- A globalization of the implicit function theorem with applications to nonlinear elliptic equations