Boundary behavior of holomorphic functions of several complex variables /

Boundary behavior of holomorphic functions of several complex variables /

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Bibliographic Details
Author / Creator:Stein, Elias M., 1931-2018, author.
Imprint:Princeton, New Jersey : Princeton University Press : University of Tokyo Press, 1972.
©1972
Description:1 online resource (83 pages)
Language:English
Series:Princeton Legacy Library
Princeton legacy library.
Subject:
Holomorphic functions.
Harmonic functions.
Harmonic functions.
Holomorphic functions.
Electronic books.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11383091
Hidden Bibliographic Details
ISBN:9781400871261
1400871263
9780691620114
9780691081090
0691620113
0691081093
9780691081090
Digital file characteristics:data file
Notes:Includes bibliographical references at the end of each chapters.
In English.
Print version record.
Summary: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. For one variable, the topic is classical and rather well understood. In several variables, the necessary understanding of holomorphic functions via partial differential equations has a recent origin, and Professor Stein's book, which emphasizes the potential-theoretic aspects of the boundary value problem, should become the standard work in the field. Originally published in 1972. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Other form:Print version: Stein, Elias M., 1931- Boundary behavior of holomorphic functions of several complex variables. Princeton, New Jersey : Princeton University Press : University of Tokyo Press, ©1972 ix, 72 pages Princeton legacy library. 9780691620114
Standard no.:10.1515/9781400871261
Table of Contents:
  • Table of Contents ; Preface; Introduction; 1. Green's Function and Poisson Kernel for Domains in IRn ; 2. Boundaries; 3. Lemma for Harmonic Functions ; 4. Characterization of Poisson Integrals; 5. Maximal Functions ; 6. Local Fatou Theorem and Area Integral; 7. Bergman Kernel, Szegö Kernel, and Poisson-Szegö Kernel ; 8. The Unit Ball in Cn Additional References for Chapter I ; 9. The First Maximal Inequality and Its Application ; 10. The Second Maximal Inequalit and Its Application References for Chapter II ; 11. Potential Theory in the Context of a Preferred Kahlerian Metric.

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