Produktbild: Functional Analysis, Spectral Theory, and Applications
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Functional Analysis, Spectral Theory, and Applications

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Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

29.11.2017

Abbildungen

XIV, 33 illus., schwarz-weiss Illustrationen

Verlag

Springer

Seitenzahl

614

Maße (L/B/H)

24,1/16/3,9 cm

Gewicht

10579 g

Auflage

1st edition 2017

Sprache

Englisch

ISBN

978-3-319-58539-0

Beschreibung

Rezension

“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 … . The book is carefully written and provides an interesting introduction to functional analysis with a wealth of both classical and more recent applications.” (Michael M. Neumann, Mathematical Reviews, July, 2018)

“This is an attractive new textbook in functional analysis, aimed at … graduate students. … the large amount of material covered in this book … as well its overall readability, makes it useful as a reference as well as a potential graduate textbook. If you like functional analysis, teach it, or use it in your work, this book certainly merits a careful look.” (Mark Hunacek, MAA Reviews, January, 2018).

“The present book is different from the usual textbooks on functional analysis: it does not only cover the basic material, but also a number of advanced topics which cannot be found in many other books on the subject. … The text is suitable for self-study as well as for the preparation of lectures and seminars. … this is a highly recommendable book for students and researchers alike who are interested in functional analysis and its broad applications.” (Jan-David Hardtke, zbMATH 1387.46001, 2018)

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

29.11.2017

Abbildungen

XIV, 33 illus., schwarz-weiss Illustrationen

Verlag

Springer

Seitenzahl

614

Maße (L/B/H)

24,1/16/3,9 cm

Gewicht

10579 g

Auflage

1st edition 2017

Sprache

Englisch

ISBN

978-3-319-58539-0

Herstelleradresse

Springer-Verlag GmbH
Tiergartenstr. 17
69121 Heidelberg
DE

Email: GPSR Kontakt

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  • Produktbild: Functional Analysis, Spectral Theory, and Applications
  • 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.