Boundary Behavior of Holomorphic Functions of Several Complex Variables

Elias M. Stein

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English

Princeton University Press
19 May 2015

Calculus of variations

Series: Mathematical Notes

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 editions preserve the original texts of these important books while presenting them in durable paperback and hardcover 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.

By: Elias M. Stein
Imprint: Princeton University Press
Country of Publication: United States
Volume: 11
Dimensions: Height: 235mm, Width: 152mm, Spine: 4mm
Weight: 113g
ISBN: 9780691620114
ISBN 10: 0691620113
Series: Mathematical Notes
Pages: 84
Publication Date: 19 May 2015
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Paperback
Publisher's Status: Active

*Frontmatter, pg. i*Preface, pg. v*Introduction, pg. vii*Table of Contents, pg. x*Chapter I, first part: Review of potential theory in n, pg. 1*Chapter I, second part: Review of some topics in several complex variables, pg. 15*Chapter II: Fatou's theorem, pg. 32*Chapter III. Potential theory for strictly pseudo-convex domains, pg. 54*Bibliography, pg. 70