TY - BOOK AU - Agler,Jim AU - Harland,John AU - Raphael,Benjamin J. TI - Classical function theory, operator dilation theory, and machine computation on multiply-connected domains T2 - Memoirs of the American Mathematical Society, SN - 9781470404987 (online) AV - QA331 .A36 2008 U1 - 515/.7 22 PY - 2008/// CY - Providence, R.I. PB - American Mathematical Society KW - Geometric function theory KW - Operator theory KW - Dilation theory (Operator theory) KW - Functional analysis KW - Analytic functions N1 - "Volume 191, number 892 (second of 5 numbers)."; Includes bibliographical references (p. 157-159); 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; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012 UR - http://www.ams.org/memo/0892 UR - http://dx.doi.org/10.1090/memo/0892 ER -