Classical function theory, operator dilation theory, and machine computation on multiply-connected domains. Memoirs of the American Mathematical Society; 892.

Agler, Jim; Harland, John; Raphael, Benjamin J.

ISBN 10: 0821840460 / ISBN 13: 9780821840467

Published by Providence, American Math. Soc, 2008

About this Item

Ex-library in GOOD condition with library-signature and stamp(s). Some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-00571 9780821840467 Sprache: Englisch Gewicht in Gramm: 350.

Seller Inventory # 2483089

Bibliographic Details

• Title: Classical function theory, operator dilation theory, and machine computation on multiply-connected domains. Memoirs of the American Mathematical Society; 892.
• Publisher: Providence, American Math. Soc
• Publication Date: 2008
• Language: English
• ISBN 10: 0821840460
• ISBN 13: 9780821840467
• Binding: Softcover
• Weight: 350 grams
• Seller catalogs:
  • SA MATHEMATIK

About this title

Synopsis

In three chapters the authors first cover generalizations of the Herglotz representation theorem, von Neumann's inequality and the Sz.-Nagy dilation theorem to multiply connected domains. They describe the fist through third Herglotz representation and provide an application. In the second the describe the computational generation of counterexamples to rational dilation conjecture, including an analysis of the dilation condition for nonsingularly hyperextremal grammians, and in the third they examine arbitrary precision computations of Poisson kernel and Herglotz kernels on multiply connected circle domains. The authors have structured the chapters so readers can use each independently, making the first accessible to function theorists unskilled in operator theory and operator theorists unaccustomed to function theory, the second most likely to be used by experts in operator theory, and the third available to those interested in computational theory of multiply-connected domains who choose not to study the operator theories of the first and second chapters.