Boundary behavior of holomorphic functions of several complex variables /
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| 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: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11383091 |
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| 100 | 1 | |a Stein, Elias M., |d 1931-2018, |e author. | |
| 245 | 1 | 0 | |a Boundary behavior of holomorphic functions of several complex variables / |c by E.M. Stein. |
| 264 | 1 | |a Princeton, New Jersey : |b Princeton University Press : |b University of Tokyo Press, |c 1972. | |
| 264 | 4 | |c ©1972 | |
| 300 | |a 1 online resource (83 pages) | ||
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| 490 | 1 | |a Princeton Legacy Library | |
| 504 | |a Includes bibliographical references at the end of each chapters. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a 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. | |
| 520 | |a 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. | ||
| 546 | |a In English. | ||
| 650 | 0 | |a Holomorphic functions. |0 http://id.loc.gov/authorities/subjects/sh85061536 | |
| 650 | 0 | |a Harmonic functions. |0 http://id.loc.gov/authorities/subjects/sh85058943 | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Harmonic functions. |2 fast |0 (OCoLC)fst00951500 | |
| 650 | 7 | |a Holomorphic functions. |2 fast |0 (OCoLC)fst00958953 | |
| 655 | 0 | |a Electronic books. | |
| 655 | 4 | |a Electronic books. | |
| 776 | 0 | 8 | |i Print version: |a Stein, Elias M., 1931- |t Boundary behavior of holomorphic functions of several complex variables. |d Princeton, New Jersey : Princeton University Press : University of Tokyo Press, ©1972 |h ix, 72 pages |k Princeton legacy library. |z 9780691620114 |
| 830 | 0 | |a Princeton legacy library. |0 http://id.loc.gov/authorities/names/no2014116408 | |
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| 928 | |t Library of Congress classification |a QA331 .S74 1972eb |l Online |c UC-FullText |u https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=e000xna&AN=948665 |z eBooks on EBSCOhost |g ebooks |i 12424122 | ||