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Cambridge University Press Cambridge Operator Analysis: Hilbert Space Methods in Complex Analysis

Name: Cambridge Operator Analysis: Hilbert Space Methods in Complex Analysis
Brand: Cambridge University Press
Price: 97.0 GBP
Availability: InStock

Complex Analysis

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Description

Explore the deep connection between operator theory and function theory in one and several variables with this advanced mathematical text. Published by Cambridge University Press as part of the Cambridge Tracts in Mathematics series, this volume provides a detailed development of theory that leads readers to the edge of contemporary research. The text begins with a rigorous treatment of bounded holomorphic functions on the unit disc. By utilizing model theory and the network realization formula, the authors provide solutions to Nevanlinna-Pick interpolation problems. These methods are then applied to more complex areas, including the bidisc, the symmetrized bidisc, and other domains. This book is a valuable resource for mathematicians looking to apply powerful techniques to prove the Julia-Caratheodory theorem on the bidisc and Lempert theorems. It serves as a comprehensive guide for those studying complex analysis through the lens of Hilbert space methods.

Key Features

Detailed exploration of how operator theory interacts with function theory in both one and several variables.

Comprehensive coverage of bounded holomorphic functions on the unit disc to build a strong theoretical foundation.

Application of model theory and network realization formulas to solve Nevanlinna-Pick interpolation problems.

Advanced techniques capable of addressing complex domains such as the bidisc and the symmetrized bidisc.

Mathematical proofs for the Julia-Caratheodory theorem on the bidisc and Lempert theorems.

Part of the respected Cambridge Tracts in Mathematics series (Series Number 219).

Product Specifications

Brand: Cambridge University Press
Format: hardcover
ASIN: 1108485448
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Complex Analysis
Domain: Amazon UK
Release Date: 31 March 2020
Listed Since: 05 September 2019

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Cambridge University Press Cambridge Operator Analysis: Hilbert Space Methods in Complex Analysis

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