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ISBN: 9781470420956 Year: 2002 Publisher: Providence, R.I. American Mathematical Society
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Book
ISBN: 1470420953 Year: 2002 Publisher: Providence, Rhode Island : American Mathematical Society,
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Hilbert space. --- Interpolation. --- Functions of complex variables.
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ISBN: 9781470435493 1470435497 Year: 2019 Publisher: Providence, RI : American Mathematical Society,
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Geometric function theory. --- Functions of complex variables. --- Geometry, Differential. --- Retracts, Theory of. --- Hermitian operators. --- Fonctions, Théorie géométrique des. --- Fonctions d'une variable complexe. --- Géométrie différentielle. --- Rétractes, Théorie des. --- Opérateurs hermitiens. --- Théorie géométrique des fonctions --- Fonctions d'une variable complexe --- Géométrie différentielle --- Théorie des rétractes --- Opérateurs hermitiens --- Geometric function theory --- Functions of complex variables --- Geometry, Differential --- Retracts, Theory of --- Hermitian operators --- Operators, Hermitian --- Operators, Symmetrical --- Symmetrical operators --- Linear operators --- Topology --- Differential geometry --- Complex variables --- Elliptic functions --- Functions of real variables --- Function theory, Geometric
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Year: 2008 Publisher: Providence, R.I. American Mathematical Society
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ISBN: 9780821840467 Year: 2008 Publisher: Providence American Mathematical Society
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Analytic functions --- Dilation theory (Operator theory) --- Functional analysis --- Geometric function theory --- Operator theory
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ISBN: 1108618588 1108621201 1108751296 Year: 2020 Publisher: Cambridge : Cambridge University Press,
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This book shows how operator theory interacts with function theory in one and several variables. The authors develop the theory in detail, leading the reader to the cutting edge of contemporary research. It starts with a treatment of the theory of bounded holomorphic functions on the unit disc. Model theory and the network realization formula are used to solve Nevanlinna-Pick interpolation problems, and the same techniques are shown to work on the bidisc, the symmetrized bidisc, and other domains. The techniques are powerful enough to prove the Julia-Carathéodory theorem on the bidisc, Lempert's theorem on invariant metrics in convex domains, the Oka extension theorem, and to generalize Loewner's matrix monotonicity results to several variables. In Part II, the book gives an introduction to non-commutative function theory, and shows how model theory and the network realization formula can be used to understand functions of non-commuting matrices.
Operator theory. --- Holomorphic functions. --- Geometric function theory. --- Hilbert space.
Book
ISBN: 9781108751292 9781108485449 Year: 2020 Publisher: Cambridge Cambridge University Press
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