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Elias M. Stein

Boundary Behavior of Holomorphic Functions of Several Complex Variables

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A01=Elias M. Stein
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Analytic function
Author_Elias M. Stein
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Bergman metric
Borel measure
Boundary (topology)
Boundary value problem
Brownian motion
Category1=Non-Fiction
Category=PBKA
Category=PBKQ
Change of variables
Characteristic function (probability theory)
Characterization (mathematics)
Coefficient
Combination
Complex analysis
Complex conjugate
Computation
Conformal map
Continuous function
Continuous function (set theory)
Coordinate system
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Corollary
Covering lemma
Cramer's rule
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Determinant
Differential form
Elliptic operator
eq_isMigrated=2
eq_nobargain
Estimation
Existential quantification
Explicit formulae (L-function)
Exterior (topology)
Fatou's theorem
Function space
Green's theorem
Half-space (geometry)
Harmonic function
Hilbert space
Holder's inequality
Holomorphic function
Hyperbolic space
Inequality (mathematics)
Inference
Invariant measure
Invertible matrix
Jacobian matrix and determinant
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Laplace-Beltrami operator
Law of excluded middle
Line segment
Lipschitz continuity
Matrix (mathematics)
Maximal function
Measure (mathematics)
Negation
Normal (geometry)
Order of magnitude
Orthonormal basis
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Parameter
Parameter (computer programming)
Poisson kernel
Potential theory
Predicate (mathematical logic)
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Quadratic form
Quantity
Several complex variables
Sign (mathematics)
softlaunch
Subgroup
Subharmonic function
Subsequence
Tangent space
Theorem
Vector field
Vector space
Volume element

Product details

  • ISBN 9780691620114
  • Weight: 113g
  • Dimensions: 152 x 235mm
  • Publication Date: 08 Mar 2015
  • Publisher: Princeton University Press
  • Publication City/Country: US
  • Product Form: Paperback
  • Language: English
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Description
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.