Monotone Matrix Functions and Analytic Continuation

Name: Monotone Matrix Functions and Analytic Continuation
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 9783642657573
Price: 52.75 EUR
Availability: InStock

Автор: W. F. Donoghue

Език:

Корици: С меки корици

Издател: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Наличност: Външен склад

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52.75 € 103.17 лв

A Pick function is a function that is analytic in the upper half-plane with positive imaginary part....

Информация за книгата

Автор

W. F. Donoghue

Език

Английски език

Корици

Книга - С меки корици

Издадена

2011

страници

184

EAN

9783642657573

ISBN

9783642657573

Enbook ID

06623131

Издател

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Теглоt

293

Размери

152 x 229 x 11

Пълно описание

A Pick function is a function that is analytic in the upper half-plane with positive imaginary part. In the first part of this book we try to give a readable account of this class of functions as well as one of the standard proofs of the spectral theorem based on properties of this class. In the remainder of the book we treat a closely related topic: Loewner's theory of monotone matrix functions and his analytic continuation theorem which guarantees that a real function on an interval of the real axis which is a monotone matrix function of arbitrarily high order is the restriction to that interval of a Pick function. In recent years this theorem has been complemented by the Loewner-FitzGerald theorem, giving necessary and sufficient conditions that the continuation provided by Loewner's theorem be univalent. In order that our presentation should be as complete and trans parent as possible, we have adjoined short chapters containing the in formation about reproducing kernels, almost positive matrices and certain classes of conformal mappings needed for our proofs.

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Monotone Matrix Functions and Analytic Continuation

Информация за книгата

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