Classical function theory, operator dilation theory, and machine computation on multiply-connected domains

Classical function theory, operator dilation theory, and machine computation on multiply-connected domains / Jim Agler, John Harland, Benjamin J. Raphael.

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Bibliographic Details
Main Author:	Agler, Jim
Other Authors:	Harland, John, 1959-, Raphael, Benjamin J., 1974-
Format:	eBook
Language:	English
Published:	Providence, R.I. : American Mathematical Society, ©2008.
Series:	Memoirs of the American Mathematical Society ; no. 892.
Subjects:	Geometric function theory. Operator theory. Dilation theory (Operator theory) Functional analysis. Analytic functions. MATHEMATICS > Calculus. MATHEMATICS > Mathematical Analysis. Analytic functions Functional analysis Geometric function theory Operator theory
Online Access:	Click for online access

Table of Contents:

1. Generalizations of the Herglotz representation theorem, von Neumann's inequality and the Sz.-Nagy dilation theorem to multiply connected domains 2. The computational generation of counterexamples to the rational dilation conjecture 3. Arbitrary precision computations of the Poisson Kernel and Herglotz Kernels on multiply-connected circle domains 4. Schwartz kernels on multiply connected domains.