Boundary Behavior of Holomorphic Functions of Several Complex Variables (eBook)

Elias M. Stein (Autor)

eBook Download: PDF

2015
Princeton University Press (Verlag)
9781400871261 (ISBN)

Infos

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.

Produkt-Details

• Erscheint lt. Verlag: 8.3.2015
• Reihe/Serie: Mathematical Notes
• Reihe/Serie: Mathematical Notes
• Reihe/Serie: Monographs in Population Biology
• Reihe/Serie: Princeton Legacy Library
• Reihe/Serie: Princeton Legacy Library
• Verlagsort: Princeton
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Schlagworte: absolute continuity • absolute value • Addition • Ambient space • analytic function • Arbitrarily large • Bergman metric • Borel measure • Boundary (topology) • Boundary value problem • boundedness • Bounded set (topological vector space) • Brownian motion • Calculation • Change of variables • Characteristic function (probability theory) • Characterization (mathematics) • coefficient • combination • Compact space • Complex Analysis • Complex conjugate • Computation • conformal map • Constant term • continuous function • Continuous function (set theory) • coordinate system • corollary • Covering lemma • Cramer's Rule • Determinant • DIAMETER • differential form • Dimension • elliptic operator • estimation • existential quantification • Explicit formulae (L-function) • Exterior (topology) • Fatou's theorem • function space • Green's Function • Green's Theorem • Haar measure • Half-space (geometry) • Harmonic function • hilbert space • Hölder's inequality • holomorphic function • hyperbolic space • hypersurface • Inequality (mathematics) • inference • invariant measure • Invertible matrix • Jacobian matrix and determinant • Laplace–Beltrami operator • law of excluded middle • Linear map • Line segment • Lipschitz continuity • Local coordinates • logarithm • Majorization • Matrix (mathematics) • maximal function • Measure (mathematics) • minimum distance • Monograph • Natural number • Negation • Normal (geometry) • Notation • Open set • Order of magnitude • Orthogonal complement • Orthonormal basis • Parameter • Parameter (computer programming) • Poisson kernel • Positive-definite matrix • Potential Theory • Predicate (mathematical logic) • Principle of bivalence • Projection (linear algebra) • quadratic form • Quantity • Real structure • Requirement • result • scientific notation • Sesquilinear form • Several Complex Variables • Sign (mathematics) • Smoothness • square of opposition • SUBGROUP • subharmonic function • subsequence • Subset • Summation • syllogism • Tangent Space • Theorem • theory • total variation • Transitive relation • Transitivity • transpose • Two-form • Unitary matrix • Unit sphere • Variable (mathematics) • Vector field • Vector Space • Volume element • Weak topology
• ISBN-13: 9781400871261 / 9781400871261