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Spectral Theory of Ordinary Differential Operators

BuchKartoniert, Paperback
304 Seiten
Englisch
Springererschienen am06.05.1987
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.mehr
Verfügbare Formate
BuchKartoniert, Paperback
EUR37,40
E-BookPDF1 - PDF WatermarkE-Book
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Produkt

KlappentextThey 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.
Details
ISBN/GTIN978-3-540-17902-3
ProduktartBuch
EinbandartKartoniert, Paperback
Verlag
Erscheinungsjahr1987
Erscheinungsdatum06.05.1987
ReiheLecture Notes in Mathematics
Seiten304 Seiten
SpracheEnglisch
Gewicht474 g
IllustrationenVIII, 304 p.
Artikel-Nr.10739187

Inhalt/Kritik

Inhaltsverzeichnis
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.mehr