Boundary Behavior of Holomorphic Functions of Several Complex Variables. (MN-11) /

Boundary Behavior of Holomorphic Functions of Several Complex Variables. (MN-11) / / Elias M. Stein.

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 understand...

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Superior document:Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1931-1979
VerfasserIn:
Stein, Elias M.,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2015]
©1972
Year of Publication:2015
Language:English
Series:Mathematical Notes ; 11
Online Access:
Physical Description:1 online resource (84 p.)
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100 1 |a Stein, Elias M.,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Boundary Behavior of Holomorphic Functions of Several Complex Variables. (MN-11) /  |c Elias M. Stein. 
264 1 |a Princeton, NJ :   |b Princeton University Press,   |c [2015] 
264 4 |c ©1972 
300 |a 1 online resource (84 p.) 
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490 0 |a Mathematical Notes ;  |v 11 
505 0 0 |t Frontmatter --   |t Preface --   |t Introduction --   |t Table of Contents --   |t Chapter I, first part: Review of potential theory in ℝn --   |t Chapter I, second part: Review of some topics in several complex variables --   |t Chapter II: Fatou's theorem --   |t Chapter III. Potential theory for strictly pseudo-convex domains --   |t Bibliography 
506 0 |a restricted access  |u http://purl.org/coar/access_right/c_16ec  |f online access with authorization  |2 star 
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 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. 
530 |a Issued also in print. 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) 
650 0 |a Harmonic functions. 
650 0 |a Holomorphic functions. 
650 7 |a MATHEMATICS / Calculus.  |2 bisacsh 
653 |a Absolute continuity. 
653 |a Absolute value. 
653 |a Addition. 
653 |a Ambient space. 
653 |a Analytic function. 
653 |a Arbitrarily large. 
653 |a Bergman metric. 
653 |a Borel measure. 
653 |a Boundary (topology). 
653 |a Boundary value problem. 
653 |a Bounded set (topological vector space). 
653 |a Boundedness. 
653 |a Brownian motion. 
653 |a Calculation. 
653 |a Change of variables. 
653 |a Characteristic function (probability theory). 
653 |a Combination. 
653 |a Compact space. 
653 |a Complex analysis. 
653 |a Complex conjugate. 
653 |a Computation. 
653 |a Conformal map. 
653 |a Constant term. 
653 |a Continuous function. 
653 |a Coordinate system. 
653 |a Corollary. 
653 |a Cramer's rule. 
653 |a Determinant. 
653 |a Diameter. 
653 |a Dimension. 
653 |a Elliptic operator. 
653 |a Estimation. 
653 |a Existential quantification. 
653 |a Explicit formulae (L-function). 
653 |a Exterior (topology). 
653 |a Fatou's theorem. 
653 |a Function space. 
653 |a Green's function. 
653 |a Green's theorem. 
653 |a Haar measure. 
653 |a Half-space (geometry). 
653 |a Harmonic function. 
653 |a Hilbert space. 
653 |a Holomorphic function. 
653 |a Hyperbolic space. 
653 |a Hypersurface. 
653 |a Hölder's inequality. 
653 |a Invariant measure. 
653 |a Invertible matrix. 
653 |a Jacobian matrix and determinant. 
653 |a Line segment. 
653 |a Linear map. 
653 |a Lipschitz continuity. 
653 |a Local coordinates. 
653 |a Logarithm. 
653 |a Majorization. 
653 |a Matrix (mathematics). 
653 |a Maximal function. 
653 |a Measure (mathematics). 
653 |a Minimum distance. 
653 |a Natural number. 
653 |a Normal (geometry). 
653 |a Open set. 
653 |a Order of magnitude. 
653 |a Orthogonal complement. 
653 |a Orthonormal basis. 
653 |a Parameter. 
653 |a Poisson kernel. 
653 |a Positive-definite matrix. 
653 |a Potential theory. 
653 |a Projection (linear algebra). 
653 |a Quadratic form. 
653 |a Quantity. 
653 |a Real structure. 
653 |a Requirement. 
653 |a Scientific notation. 
653 |a Sesquilinear form. 
653 |a Several complex variables. 
653 |a Sign (mathematics). 
653 |a Smoothness. 
653 |a Subgroup. 
653 |a Subharmonic function. 
653 |a Subsequence. 
653 |a Subset. 
653 |a Summation. 
653 |a Tangent space. 
653 |a Theorem. 
653 |a Theory. 
653 |a Total variation. 
653 |a Transitive relation. 
653 |a Transitivity. 
653 |a Transpose. 
653 |a Two-form. 
653 |a Unit sphere. 
653 |a Unitary matrix. 
653 |a Vector field. 
653 |a Vector space. 
653 |a Volume element. 
653 |a Weak topology. 
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773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t Princeton Legacy Lib. eBook Package Science  |z 9783110413595 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t Princeton Mathematical Notes eBook-Package 1970-2016  |z 9783110494921  |o ZDB-23-PMN 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t Princeton University Press eBook-Package Archive 1927-1999  |z 9783110442496 
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912 |a 978-3-11-041359-5 Princeton Legacy Lib. eBook Package Science 
912 |a 978-3-11-042684-7 Princeton Legacy Lib. eBook Package 1931-1979  |c 1931  |d 1979 
912 |a 978-3-11-044249-6 Princeton University Press eBook-Package Archive 1927-1999  |c 1927  |d 1999 
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