This volume contains the Proceedings of the Conference on Completeness Problems, Carleson Measures, and Spaces of Analytic Functions, held from June 29–July 3, 2015, at the Institut Mittag-Leffler, Djursholm, Sweden. The conference brought together experienced researchers and promising young mathematicians from many countries to discuss recent progress made in function theory, model spaces, completeness problems, and Carleson measures. This volume contains articles covering cutting-edge research questions, as well as longer survey papers and a report on the problem session that contains a collection of attractive open problems in complex and harmonic analysis.
This book has as its subject the boundary value theory of holomorphic functions in several complex variables, a topic that is just now coming to the forefront of mathematical analysis.
Special Chapters in the Theory of Analytic Functions of Several Complex Variables
Introduction to the Theory of Analytic Functions of Several Complex Variables
The theory of real analytic functions is the wellspring of mathe matical analysis. It is remarkable that this is the first book on the subject, and we want to keep it up to date and as correct as possible.
H. Grauert, On Levi's problem and the imbedding of real analytic manifolds, Ann. of Math. 68 (1958), 460–472. ... MR0320743 (47:9277) S. Krantz, H. R. Parks, A Primer of Real Analytic Functions, Birkhäuser, Basel 1992.
A standard source of information of functions of one complex variable, this text has retained its wide popularity in this field by being consistently rigorous without becoming needlessly concerned with advanced or overspecialized material.
This book is a reprint of the third edition of the classic book on complex analysis.
An Introduction to Complex Analysis in Several Variables
This book treats spherical harmonic expansion of real analytic functions and hyperfunctions on the sphere.
This book is a truly original account of a therapeutic journey.