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Extension theory of symmetric operators and boundary value problems

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Extension theory of symmetric operators and boundary value problems/ by Volodymyr Derkach, Mark Malamud.
作者:	Derkach, Volodymyr.
其他作者:	Malamud, Mark.
出版者:	Cham :Springer Nature Switzerland : : 2025.,
面頁冊數:	xii, 934 p. :ill., digital ;24 cm.
內容註:	- 1. Introduction -- 2. Unbounded Linear Operators -- 3. Extension Theory of Symmetric Operators -- 4. Semibounded Operators and Forms -- 5. Block Operator Matrices and Kreĭn's Extension Theory of Non-Negative Operators -- 6. Herglotz-Nevanlinna Functions -- 7. Linear Relations -- 8. Boundary Triples, Proper Extensions and Weyl Functions -- 9. Boundary Triples and Extension Theory of Non-Negative Operators -- 10. Boundary Triples and Extension Theory of Operators with Gaps -- 11. Sturm-Liouville Operator -- 12. Extension Theory for Non-Densely Defined Symmetric Operator -- 13. Functional Models of Symmetric and Selfadjoint Operators -- 14. Characteristic Functions and Resolvent Matrices.
Contained By:	Springer Nature eBook
標題:	Symmetric operators. -
電子資源:	https://doi.org/10.1007/978-3-032-02967-6
ISBN:	9783032029676

Extension theory of symmetric operators and boundary value problems
Derkach, Volodymyr.

Extension theory of symmetric operators and boundary value problems[electronic resource] /by Volodymyr Derkach, Mark Malamud. - Second edition. - Cham :Springer Nature Switzerland :2025. - xii, 934 p. :ill., digital ;24 cm. - Operator theory: advances and applications,v. 3092296-4878 ;. - Operator theory: advances and applications ;v. 309..

- 1. Introduction -- 2. Unbounded Linear Operators -- 3. Extension Theory of Symmetric Operators -- 4. Semibounded Operators and Forms -- 5. Block Operator Matrices and Kreĭn's Extension Theory of Non-Negative Operators -- 6. Herglotz-Nevanlinna Functions -- 7. Linear Relations -- 8. Boundary Triples, Proper Extensions and Weyl Functions -- 9. Boundary Triples and Extension Theory of Non-Negative Operators -- 10. Boundary Triples and Extension Theory of Operators with Gaps -- 11. Sturm-Liouville Operator -- 12. Extension Theory for Non-Densely Defined Symmetric Operator -- 13. Functional Models of Symmetric and Selfadjoint Operators -- 14. Characteristic Functions and Resolvent Matrices.

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.

ISBN: 9783032029676

Standard No.: 10.1007/978-3-032-02967-6doiSubjects--Topical Terms:

1069645
Symmetric operators.

LC Class. No.: QA329.2

Dewey Class. No.: 515.7246

Extension theory of symmetric operators and boundary value problems
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505 0 $a - 1. Introduction -- 2. Unbounded Linear Operators -- 3. Extension Theory of Symmetric Operators -- 4. Semibounded Operators and Forms -- 5. Block Operator Matrices and Kreĭn's Extension Theory of Non-Negative Operators -- 6. Herglotz-Nevanlinna Functions -- 7. Linear Relations -- 8. Boundary Triples, Proper Extensions and Weyl Functions -- 9. Boundary Triples and Extension Theory of Non-Negative Operators -- 10. Boundary Triples and Extension Theory of Operators with Gaps -- 11. Sturm-Liouville Operator -- 12. Extension Theory for Non-Densely Defined Symmetric Operator -- 13. Functional Models of Symmetric and Selfadjoint Operators -- 14. Characteristic Functions and Resolvent Matrices.
520 $a 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.
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