9780821840467

Classical Function Theory, Operator Dilation Theory, and Machine Computation on Multiply-Connected Domains

by ; ;
  • ISBN13:

    9780821840467

  • ISBN10:

    0821840460

  • Format: Paperback
  • Copyright: 2007-12-28
  • Publisher: Amer Mathematical Society

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Supplemental Materials

What is included with this book?

Summary

Generalizations of the Herglotz representation theorem, von Neumann's inequality and the Sz.-Nagy dilation theorem to multiply connected domains The computational generation of counterexamples to the rational dilation conjecture Arbitrary precision computations of the Poisson kernel and Herglotz kernels on multiply-connected circle domains Schwartz kernels on multiply connected domains Appendix A. Convergence results Appendix B. Example inner product computation Bibliography

Table of Contents

Generalizations of the Herglotz representation theorem, von Neumann's inequality and the Sz.-Nagy dilation theorem to multiply connected domains
The computational generation of counterexamples to the rational dilation conjecture
Arbitrary precision computations of the Poisson kernel and Herglotz kernels on multiply-connected circle domains
Schwartz kernels on multiply connected domains
Convergence results
Example inner product computation
Bibliography
Table of Contents provided by Publisher. All Rights Reserved.

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