Spectral Theory of Ordinary Differential Operators (Record no. 10432)

MARC details
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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
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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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-- online resource
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-- text file
-- PDF
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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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