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Boundary Behavior of Holomorphic Functions of Several Complex Variables. (MN-11)
Elias M. Stein
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Naturwissenschaften, Medizin, Informatik, Technik / Mathematik
Beschreibung
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.
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Kundenbewertungen
Cramer's rule, Complex analysis, Corollary, Conformal map, Bergman metric, Laplace–Beltrami operator, Computation, Line segment, Coordinate system, Function space, Measure (mathematics), Several complex variables, Tangent space, Half-space (geometry), Subgroup, Characterization (mathematics), Inference, Invariant measure, Parameter (computer programming), Potential theory, Vector field, Analytic function, Inequality (mathematics), Complex conjugate, Hölder's inequality, Green's theorem, Sign (mathematics), Boundary (topology), Existential quantification, Predicate (mathematical logic), Normal (geometry), Differential form, Estimation, Orthonormal basis, Negation, Quadratic form, Invertible matrix, Fatou's theorem, Characteristic function (probability theory), Matrix (mathematics), Subharmonic function, Hyperbolic space, Change of variables, Poisson kernel, Elliptic operator, Coefficient, Determinant, Quantity, Maximal function, Jacobian matrix and determinant, Lipschitz continuity, Brownian motion, Explicit formulae (L-function), Continuous function (set theory), Exterior (topology), Parameter, Continuous function, Covering lemma, Hilbert space, Vector space, Theorem, Order of magnitude, Subsequence, Borel measure, Volume element, Boundary value problem, Holomorphic function, Combination, Harmonic function, Law of excluded middle