Spectral analysis of differential operators: interplay between spectral and oscillatory properties
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Hackensack, NJ
World Scientific
c2005
|
| Schriftenreihe: | World Scientific monograph series in mathematics
v. 7 |
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references (p. 359-429) and index Foreword; Contents; Preface; Acknowledgments; Introduction; 1. Relation Between Spectral and Oscillatory Properties for the Matrix Sturm-Liouville Problem; 2. Fundamental System of Solutions for an Operator Differential Equation with a Singular Boundary Condition; 3. Dependence of the Spectrum of Operator Boundary Problems on Variations of a Finite or Semi-Infinite Interval; 4. Relation Between Spectral and Oscillatory Properties for Operator Differential Equations of Arbitrary Order This is the first monograph devoted to the Sturm oscillatory theory for infinite systems of differential equations and its relations with the spectral theory. It aims to study a theory of self-adjoint problems for such systems, based on an elegant method of binary relations. Another topic investigated in the book is the behavior of discrete eigenvalues which appear in spectral gaps of the Hill operator and almost periodic Schrödinger operators due to local perturbations of the potential (e.g., modeling impurities in crystals). The book is based on results that have not been presented in other |
| Beschreibung: | 1 Online-Ressource (xxiii, 438 p.) |
| ISBN: | 9789812562760 9789812703453 9812562761 9812703454 |
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| 245 | 1 | 0 | |a Spectral analysis of differential operators |b interplay between spectral and oscillatory properties |c Fedor S. Rofe-Beketov, Aleksandr M. Kholkin ; translated by Ognjen Milatovic ; with foreword by Vladimir A. Marchenko |
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| 700 | 1 | |a Kholʹkin, Aleksandr M. |e Sonstige |4 oth | |
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Datensatz im Suchindex
| _version_ | 1804175492488626176 |
|---|---|
| any_adam_object | |
| author | Rofe-Beketov, Fedor S. |
| author_facet | Rofe-Beketov, Fedor S. |
| author_role | aut |
| author_sort | Rofe-Beketov, Fedor S. |
| author_variant | f s r b fsr fsrb |
| building | Verbundindex |
| bvnumber | BV043091283 |
| collection | ZDB-4-EBA |
| ctrlnum | (OCoLC)228172394 (DE-599)BVBBV043091283 |
| dewey-full | 515/.7222 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.7222 |
| dewey-search | 515/.7222 |
| dewey-sort | 3515 47222 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043091283 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:17:09Z |
| institution | BVB |
| isbn | 9789812562760 9789812703453 9812562761 9812703454 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028515475 |
| oclc_num | 228172394 |
| open_access_boolean | |
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| owner_facet | DE-1046 DE-1047 |
| physical | 1 Online-Ressource (xxiii, 438 p.) |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | World Scientific |
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| series2 | World Scientific monograph series in mathematics |
| spelling | Rofe-Beketov, Fedor S. Verfasser aut Spectral analysis of differential operators interplay between spectral and oscillatory properties Fedor S. Rofe-Beketov, Aleksandr M. Kholkin ; translated by Ognjen Milatovic ; with foreword by Vladimir A. Marchenko Hackensack, NJ World Scientific c2005 1 Online-Ressource (xxiii, 438 p.) txt rdacontent c rdamedia cr rdacarrier World Scientific monograph series in mathematics v. 7 Includes bibliographical references (p. 359-429) and index Foreword; Contents; Preface; Acknowledgments; Introduction; 1. Relation Between Spectral and Oscillatory Properties for the Matrix Sturm-Liouville Problem; 2. Fundamental System of Solutions for an Operator Differential Equation with a Singular Boundary Condition; 3. Dependence of the Spectrum of Operator Boundary Problems on Variations of a Finite or Semi-Infinite Interval; 4. Relation Between Spectral and Oscillatory Properties for Operator Differential Equations of Arbitrary Order This is the first monograph devoted to the Sturm oscillatory theory for infinite systems of differential equations and its relations with the spectral theory. It aims to study a theory of self-adjoint problems for such systems, based on an elegant method of binary relations. Another topic investigated in the book is the behavior of discrete eigenvalues which appear in spectral gaps of the Hill operator and almost periodic Schrödinger operators due to local perturbations of the potential (e.g., modeling impurities in crystals). The book is based on results that have not been presented in other MATHEMATICS / Functional Analysis bisacsh Differential operators fast Hilbert space fast Operator theory fast Selfadjoint operators fast Spectral theory (Mathematics) fast Spectral theory (Mathematics) Differential operators Selfadjoint operators Hilbert space Operator theory Spektraltheorie (DE-588)4116561-5 gnd rswk-swf Nichtlinearer Operator (DE-588)4225824-8 gnd rswk-swf Spektralanalyse Stochastik (DE-588)4056125-2 gnd rswk-swf Spektraltheorie (DE-588)4116561-5 s Nichtlinearer Operator (DE-588)4225824-8 s 1\p DE-604 Spektralanalyse Stochastik (DE-588)4056125-2 s 2\p DE-604 Kholʹkin, Aleksandr M. Sonstige oth Milatovic, Ognjen Sonstige oth http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=174706 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Rofe-Beketov, Fedor S. Spectral analysis of differential operators interplay between spectral and oscillatory properties MATHEMATICS / Functional Analysis bisacsh Differential operators fast Hilbert space fast Operator theory fast Selfadjoint operators fast Spectral theory (Mathematics) fast Spectral theory (Mathematics) Differential operators Selfadjoint operators Hilbert space Operator theory Spektraltheorie (DE-588)4116561-5 gnd Nichtlinearer Operator (DE-588)4225824-8 gnd Spektralanalyse Stochastik (DE-588)4056125-2 gnd |
| subject_GND | (DE-588)4116561-5 (DE-588)4225824-8 (DE-588)4056125-2 |
| title | Spectral analysis of differential operators interplay between spectral and oscillatory properties |
| title_auth | Spectral analysis of differential operators interplay between spectral and oscillatory properties |
| title_exact_search | Spectral analysis of differential operators interplay between spectral and oscillatory properties |
| title_full | Spectral analysis of differential operators interplay between spectral and oscillatory properties Fedor S. Rofe-Beketov, Aleksandr M. Kholkin ; translated by Ognjen Milatovic ; with foreword by Vladimir A. Marchenko |
| title_fullStr | Spectral analysis of differential operators interplay between spectral and oscillatory properties Fedor S. Rofe-Beketov, Aleksandr M. Kholkin ; translated by Ognjen Milatovic ; with foreword by Vladimir A. Marchenko |
| title_full_unstemmed | Spectral analysis of differential operators interplay between spectral and oscillatory properties Fedor S. Rofe-Beketov, Aleksandr M. Kholkin ; translated by Ognjen Milatovic ; with foreword by Vladimir A. Marchenko |
| title_short | Spectral analysis of differential operators |
| title_sort | spectral analysis of differential operators interplay between spectral and oscillatory properties |
| title_sub | interplay between spectral and oscillatory properties |
| topic | MATHEMATICS / Functional Analysis bisacsh Differential operators fast Hilbert space fast Operator theory fast Selfadjoint operators fast Spectral theory (Mathematics) fast Spectral theory (Mathematics) Differential operators Selfadjoint operators Hilbert space Operator theory Spektraltheorie (DE-588)4116561-5 gnd Nichtlinearer Operator (DE-588)4225824-8 gnd Spektralanalyse Stochastik (DE-588)4056125-2 gnd |
| topic_facet | MATHEMATICS / Functional Analysis Differential operators Hilbert space Operator theory Selfadjoint operators Spectral theory (Mathematics) Spektraltheorie Nichtlinearer Operator Spektralanalyse Stochastik |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=174706 |
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