MARC details
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02788nam a2200301 a 4500 |
| 001 - CONTROL NUMBER |
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42508 |
| 003 - CONTROL NUMBER IDENTIFIER |
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0000000000 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20240411193050.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
210716n s 000 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
978-3-030-36713-8 |
| 022 ## - INTERNATIONAL STANDARD SERIAL NUMBER |
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| International Standard Serial Number |
1017-0480 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Behrndt, Jussi. |
| 245 10 - TITLE STATEMENT |
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| Title |
Boundary value problems, Weyl functions, and differential operators / |
| Medium |
[electronic resource] |
| Statement of responsibility, etc. |
Jussi Behrndt; Seppo Hassi; Henk de Snoo. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
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| Place of publication, distribution, etc. |
Cham, Switzerland : |
| Name of publisher, distributor, etc. |
Birkhäuser, Springer Nature, |
| Date of publication, distribution, etc. |
2020. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
1 online resource (vii, 772 pages), |
| 490 1# - SERIES STATEMENT |
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| Series statement |
Monographs in mathematics |
| Volume/sequential designation |
108 |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Linear relations -- Boundary triplets and Weyl functions -- Spectra and Weyl functions -- Operator models -- Nonnegative selfadjoint extensions -- Sturm-Liouville operators -- Canonical systems -- Schrodinger operators -- Sums of closed subspaces in a Hilbert space -- Factorization of bounded linear operators -- Integral representations of Carathéodory functions -- The integral representation of Nevanlinna functions. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc. |
This open access book presents a comprehensive survey of modern operator techniques for boundary value problems and spectral theory, employing abstract boundary mappings and Weyl functions. It includes self-contained treatments of the extension theory of symmetric operators and relations, spectral characterizations of selfadjoint operators in terms of the analytic properties of Weyl functions, form methods for semibounded operators, and functional analytic models for reproducing kernel Hilbert spaces. Further, it illustrates these abstract methods for various applications, including Sturm-Liouville operators, canonical systems of differential equations, and multidimensional Schrödinger operators, where the abstract Weyl function appears as either the classical Titchmarsh-Weyl coefficient or the Dirichlet-to-Neumann map. The book is a valuable reference text for researchers in the areas of differential equations, functional analysis, mathematical physics, and system theory. Moreover, thanks to its detailed exposition of the theory, it is also accessible and useful for advanced students and researchers in other branches of natural sciences and engineering. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Boundary value problems. |
| Source of heading or term |
sears |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Boundary value problems |
| General subdivision |
Weyl theory. |
| Source of heading or term |
sears |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Differential operators. |
| Source of heading or term |
sears |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Spectral theory (Mathematics). |
| Source of heading or term |
sears |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Hassi, Seppo |
| Relator term |
Author. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Snoo, Henk de |
| Relator term |
Author. |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="https://drive.google.com/file/d/1qE_ZxDDabkjl58MKVAcNxWEECtquO5dD/view?usp=sharing">https://drive.google.com/file/d/1qE_ZxDDabkjl58MKVAcNxWEECtquO5dD/view?usp=sharing</a> |
