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Classical function theory, operator dilation theory, and machine computation on multiply-connected domains
About this Title
Jim Agler, John Harland and Benjamin J. Raphael
Publication: Memoirs of the American Mathematical Society
Publication Year:
2008; Volume 191, Number 892
ISBNs: 978-0-8218-4046-7 (print); 978-1-4704-0498-7 (online)
DOI: https://doi.org/10.1090/memo/0892
MathSciNet review: 2375060
MSC: Primary 47A20; Secondary 30-02, 30-04, 30E20, 46E15, 47-02
Table of Contents
Chapters
- 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