Spectral Theory of Ordinary Differential Operators (Record no. 10432)
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fixed length control field | 04094nam a22004575i 4500 |
001 - CONTROL NUMBER | |
control field | 978-3-540-47912-3 |
003 - CONTROL NUMBER IDENTIFIER | |
control field | DE-He213 |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20190213151351.0 |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
fixed length control field | cr nn 008mamaa |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 121227s1987 gw | s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9783540479123 |
-- | 978-3-540-47912-3 |
024 7# - OTHER STANDARD IDENTIFIER | |
Standard number or code | 10.1007/BFb0077960 |
Source of number or code | doi |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
Classification number | QA299.6-433 |
072 #7 - SUBJECT CATEGORY CODE | |
Subject category code | PBK |
Source | bicssc |
072 #7 - SUBJECT CATEGORY CODE | |
Subject category code | MAT034000 |
Source | bisacsh |
072 #7 - SUBJECT CATEGORY CODE | |
Subject category code | PBK |
Source | thema |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 515 |
Edition number | 23 |
100 1# - MAIN ENTRY--PERSONAL NAME | |
Personal name | Weidmann, Joachim. |
Relator term | author. |
Relator code | aut |
-- | http://id.loc.gov/vocabulary/relators/aut |
245 10 - TITLE STATEMENT | |
Title | Spectral Theory of Ordinary Differential Operators |
Medium | [electronic resource] / |
Statement of responsibility, etc | by Joachim Weidmann. |
264 #1 - | |
-- | Berlin, Heidelberg : |
-- | Springer Berlin Heidelberg : |
-- | Imprint: Springer, |
-- | 1987. |
300 ## - PHYSICAL DESCRIPTION | |
Extent | VIII, 304 p. |
Other physical details | online resource. |
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-- | text |
-- | txt |
-- | rdacontent |
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-- | computer |
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-- | rdamedia |
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-- | online resource |
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-- | rdacarrier |
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-- | text file |
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-- | rda |
490 1# - SERIES STATEMENT | |
Series statement | Lecture Notes in Mathematics, |
International Standard Serial Number | 0075-8434 ; |
Volume number/sequential designation | 1258 |
505 0# - FORMATTED CONTENTS NOTE | |
Formatted contents note | Formally self-adjoint differential expressions -- Appendix to section 1: The separation of the Dirac operator -- Fundamental properties and general assumptions -- Appendix to section 2: Proof of the Lagrange identity for n>2 -- The minimal operator and the maximal operator -- Deficiency indices and self-adjoint extensions of T0 -- The solutions of the inhomogeneous differential equation (?-?)u=f; Weyl's alternative -- Limit point-limit circle criteria -- Appendix to section 6: Semi-boundedness of Sturm-Liouville type operators -- The resolvents of self-adjoint extensions of T0 -- The spectral representation of self-adjoint extensions of T0 -- Computation of the spectral matrix ? -- Special properties of the spectral representation, spectral multiplicities -- L2-solutions and essential spectrum -- Differential operators with periodic coefficients -- Appendix to section 12: Operators with periodic coefficients on the half-line -- Oscillation theory for regular Sturm-Liouville operators -- Oscillation theory for singular Sturm-Liouville operators -- Essential spectrum and absolutely continuous spectrum of Sturm-Liouville operators -- Oscillation theory for Dirac systems, essential spectrum and absolutely continuous spectrum -- Some explicitly solvable problems. |
520 ## - SUMMARY, ETC. | |
Summary, etc | These notes will be useful and of interest to mathematicians and physicists active in research as well as for students with some knowledge of the abstract theory of operators in Hilbert spaces. They give a complete spectral theory for ordinary differential expressions of arbitrary order n operating on -valued functions existence and construction of self-adjoint realizations via boundary conditions, determination and study of general properties of the resolvent, spectral representation and spectral resolution. Special attention is paid to the question of separated boundary conditions, spectral multiplicity and absolutely continuous spectrum. For the case nm=2 (Sturm-Liouville operators and Dirac systems) the classical theory of Weyl-Titchmarch is included. Oscillation theory for Sturm-Liouville operators and Dirac systems is developed and applied to the study of the essential and absolutely continuous spectrum. The results are illustrated by the explicit solution of a number of particular problems including the spectral theory one partical Schrödinger and Dirac operators with spherically symmetric potentials. The methods of proof are functionally analytic wherever possible. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Global analysis (Mathematics). |
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Analysis. |
-- | http://scigraph.springernature.com/things/product-market-codes/M12007 |
710 2# - ADDED ENTRY--CORPORATE NAME | |
Corporate name or jurisdiction name as entry element | SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY | |
Title | Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
Display text | Printed edition: |
International Standard Book Number | 9783662188750 |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
Display text | Printed edition: |
International Standard Book Number | 9783540179023 |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
Uniform title | Lecture Notes in Mathematics, |
-- | 0075-8434 ; |
Volume number/sequential designation | 1258 |
856 40 - ELECTRONIC LOCATION AND ACCESS | |
Uniform Resource Identifier | https://doi.org/10.1007/BFb0077960 |
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