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Functional analysis, spectral theory, and applications

Author: Manfred Leopold Einsiedler
Publisher: Berlin Springer 2017
Series: Graduate texts in mathematics, 276.
Edition/Format:   Print book : EnglishView all editions and formats
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Additional Physical Format: Erscheint auch als:
Einsiedler, Manfred.
Functional Analysis, Spectral Theory, and Applications.
Cham : Springer, 2017
Online-Ressource (XIV, 614 p. 33 illus, online resource)
Online-Ausgabe
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Manfred Leopold Einsiedler
ISBN: 9783319585390 3319585398
OCLC Number: 1000150748
Contents: Motivation.- Norms and Banach Spaces.- Hilbert Spaces, Fourier Series, Unitary Representations.- Uniform Boundedness and Open Mapping Theorem.- Sobolev Spaces and Dirichlet's Boundary Problem.- Compact Self-Adjoint Operators, Laplace Eigenfunctions.- Dual Spaces.- Locally Convex Vector Spaces.- Unitary Operators and Flows, Fourier Transform.- Locally Compact Groups, Amenability, Property (T).- Banach Algebras and the Spectrum.- Spectral Theory and Functional Calculus.- Self-Adjoint and Symmetric Operators.- The Prime Number Theorem.- Appendix A: Set Theory and Topology.- Appendix B: Measure Theory.- Hints for Selected Problems.- Notes.
Series Title: Graduate texts in mathematics, 276.

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"All chapters end with a very useful list of additional topics and suggestions for further reading. The book also contains an appendix on set theory and topology, another one on measure theory ... . Read more...

 
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