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Analytic Methods of Spectral Representations of Non-Selfadjoint (Non-Unitary) Operators: 2355 (Lecture Notes in Mathematics) - Tapa blanda

Zolotarev, Vladimir A.

 
9783031716560: Analytic Methods of Spectral Representations of Non-Selfadjoint (Non-Unitary) Operators: 2355 (Lecture Notes in Mathematics)
Tapa blanda
ISBN 10: 3031716566 ISBN 13: 9783031716560
Editorial: Springer, 2025

Sinopsis

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.

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Acerca del autor

Vladimir A. Zolotarev graduated in 1973 from the School of Mathematics & Mechanics of V. N. Karazin Kharkiv National University, where he is now a professor. He obtained his PhD in 1978 with a thesis on multidimensional triangular models of operator systems. His doctoral thesis of 1994 was on model representations of Lie algebras of linear operators. Continuing to work at V. N. Karazin Kharkiv National University, he also joined the B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine in 2010. His main research interests are in spectral operator theory, scattering problems and inverse problems.

De la contraportada

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. Livsic 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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2025
Idioma
Inglés
ISBN 10 
3031716566
ISBN 13 
9783031716560
Encuadernación
Tapa blanda
Número de edición
2
Número de páginas
556
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