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Cambridge University Press Cambridge Operator Analysis: Hilbert Space Methods Book

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Description

Explore the relationship between operator theory and function theory in one and several variables with Operator Analysis: Hilbert Space Methods in Complex Analysis. Published by Cambridge University Press as part of the Cambridge Tracts in Mathematics series, this volume provides a detailed development of theory that leads into contemporary research. The text begins with a thorough treatment of bounded holomorphic functions on the unit disc. It utilizes model theory and the network realization formula to address Nevanlinna-Pick interpolation problems. These methods are applied to the bidisc, the symmetrized bidisc, and other domains. The mathematical techniques presented are powerful enough to prove the Julia-Caratheodory theorem on the bidisc and Lempert results, making this an essential resource for those studying complex analysis and mathematical analysis.

Key Features

This Cambridge University Press book examines how operator theory interacts with function theory in one and several variables.

The text provides a detailed development of theory to guide readers toward contemporary research in the field.

Readers can study the theory of bounded holomorphic functions on the unit disc through a comprehensive treatment.

The book uses model theory and the network realization formula to solve Nevanlinna-Pick interpolation problems.

Mathematical techniques are applied to various domains including the bidisc and the symmetrized bidisc.

Advanced methods within this volume are used to prove the Julia-Caratheodory theorem on the bidisc.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
31 March 2020
Listed Since
05 September 2019

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