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Analytic methods of spectral representations of non-selfadjoint (non-unitary) operators

Record Type:	Electronic resources : Monograph/item
Title/Author:	Analytic methods of spectral representations of non-selfadjoint (non-unitary) operatorsby Vladimir A. Zolotarev.
Author:	Zolotarev, Vladimir A.
Published:	Cham :Springer Nature Switzerland :2025.
Description:	xiv, 540 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Selfadjoint operators.
Online resource:	https://doi.org/10.1007/978-3-031-71657-7
ISBN:	9783031716577$q(electronic bk.)

Analytic methods of spectral representations of non-selfadjoint (non-unitary) operators
Zolotarev, Vladimir A.

Analytic methods of spectral representations of non-selfadjoint (non-unitary) operators[electronic resource] /by Vladimir A. Zolotarev. - Second edition. - Cham :Springer Nature Switzerland :2025. - xiv, 540 p. :ill., digital ;24 cm. - Lecture notes in mathematics,v. 23551617-9692 ;. - Lecture notes in mathematics ;2035..

- 1. Local Colligations and Model Representations of Linear Non-Self-Adjoint Bounded Operators -- 2. Unitary Metric Colligations and Their Model Representations -- 3. Colligations Corresponding to Unbounded Operators and Their Model Representations -- 4. Elements of V.P. Potapov's J -Theory and the Factorization Problem of J -Contractive Matrix Functions.

This book is concerned with the theory of model representations of linear non-selfadjoint and non-unitary operators. This booming area of functional analysis owes its origins to the fundamental works of M. S. Livšic on the theory of characteristic functions, the deep studies of B. S.-Nagy and C. Foias on dilation theory, and also to the Lax-Phillips scattering theory. Here, a uniform conceptual approach is developed which organically unites all these theories. New analytic methods are introduced which make it possible to solve some important problems from the theory of spectral representations. Aimed at specialists in functional analysis, the book will also be accessible to senior mathematics students.

ISBN: 9783031716577$q(electronic bk.)

Standard No.: 10.1007/978-3-031-71657-7doiSubjects--Topical Terms:

210609
Selfadjoint operators.

LC Class. No.: QA329.2

Dewey Class. No.: 515.7246

Analytic methods of spectral representations of non-selfadjoint (non-unitary) operators
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245 1 0 $a Analytic methods of spectral representations of non-selfadjoint (non-unitary) operators $h [electronic resource] / $c by Vladimir A. Zolotarev.
250 $a Second edition.
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300 $a xiv, 540 p. : $b ill., digital ; $c 24 cm.
490 1 $a Lecture notes in mathematics, $x 1617-9692 ; $v v. 2355
505 0 $a - 1. Local Colligations and Model Representations of Linear Non-Self-Adjoint Bounded Operators -- 2. Unitary Metric Colligations and Their Model Representations -- 3. Colligations Corresponding to Unbounded Operators and Their Model Representations -- 4. Elements of V.P. Potapov's J -Theory and the Factorization Problem of J -Contractive Matrix Functions.
520 $a This book is concerned with the theory of model representations of linear non-selfadjoint and non-unitary operators. This booming area of functional analysis owes its origins to the fundamental works of M. S. Livšic on the theory of characteristic functions, the deep studies of B. S.-Nagy and C. Foias on dilation theory, and also to the Lax-Phillips scattering theory. Here, a uniform conceptual approach is developed which organically unites all these theories. New analytic methods are introduced which make it possible to solve some important problems from the theory of spectral representations. Aimed at specialists in functional analysis, the book will also be accessible to senior mathematics students.
650 0 $a Selfadjoint operators. $3 210609
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650 0 $a Functional analysis. $3 200585
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