Extension Theory of Symmetric Operators and Boundary Value Problems
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Beschreibung
This book presents the results obtained by the authors over the last four decades in the extension theory of symmetric operators in Hilbert spaces.
First, some classic results are highlighted, influenced primarily by Krein, Vishik and Birman. Then, the method of boundary triples is discussed, demonstrating the universal character of the Weyl function which arises naturally both in problems of mathematical physics and classical interpolation problems.
Readers of this book will gain an insight into the impressive construction of extension theory and its applications to problems in mathematical physics and analysis.
This book presents the results obtained by the authors over the last four decades in the extension theory of symmetric operators in Hilbert spaces.
First, some classic results are highlighted, influenced primarily by Krein, Vishik and Birman. Then, the method of boundary triples is discussed, demonstrating the universal character of the Weyl function which arises naturally both in problems of mathematical physics and classical interpolation problems.
Readers of this book will gain an insight into the impressive construction of extension theory and its applications to problems in mathematical physics and analysis.
Provides a comprehensive review of the modern extension theory based on the concept of the boundary triple Presents a new approach to the theory of characterisic functions of unbounded operators Delivers a theory of functional models of non-self-adjoint extensions of a symmetric operator
Autor*in
Volodymyr Derkach
Themen in »Extension Theory of Symmetric Operators and Boundary Value Problems«
Symmetric Operator Selfadjoint Extension Boundary Triple Weyl Function Sturm-Liouville Operator Limit Point Case Limit Circle Case Characteristic Function Resolvent Matrix Functional Model Nonnegative Operator