Functional analysis, spectral theory, and applications

This textbook provides a careful treatment of functional analysis and some of its applications in analysis, number theory, and ergodic theory. In addition to discussing core material in functional analysis, the authors cover more recent and advanced topics, including Weyl’s law for eigenfunctions of...

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Detalles Bibliográficos
Autores principales: Einsiedler, Manfred, Ward, Thomas
Lenguaje:eng
Publicado: Springer 2017
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-319-58540-6
http://cds.cern.ch/record/2296528
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author Einsiedler, Manfred
Ward, Thomas
author_facet Einsiedler, Manfred
Ward, Thomas
author_sort Einsiedler, Manfred
collection CERN
description This textbook provides a careful treatment of functional analysis and some of its applications in analysis, number theory, and ergodic theory. In addition to discussing core material in functional analysis, the authors cover more recent and advanced topics, including Weyl’s law for eigenfunctions of the Laplace operator, amenability and property (T), the measurable functional calculus, spectral theory for unbounded operators, and an account of Tao’s approach to the prime number theorem using Banach algebras. The book further contains numerous examples and exercises, making it suitable for both lecture courses and self-study. Functional Analysis, Spectral Theory, and Applications is aimed at postgraduate and advanced undergraduate students with some background in analysis and algebra, but will also appeal to everyone with an interest in seeing how functional analysis can be applied to other parts of mathematics.
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spelling cern-22965282021-04-21T18:59:02Zdoi:10.1007/978-3-319-58540-6http://cds.cern.ch/record/2296528engEinsiedler, ManfredWard, ThomasFunctional analysis, spectral theory, and applicationsMathematical Physics and MathematicsThis textbook provides a careful treatment of functional analysis and some of its applications in analysis, number theory, and ergodic theory. In addition to discussing core material in functional analysis, the authors cover more recent and advanced topics, including Weyl’s law for eigenfunctions of the Laplace operator, amenability and property (T), the measurable functional calculus, spectral theory for unbounded operators, and an account of Tao’s approach to the prime number theorem using Banach algebras. The book further contains numerous examples and exercises, making it suitable for both lecture courses and self-study. Functional Analysis, Spectral Theory, and Applications is aimed at postgraduate and advanced undergraduate students with some background in analysis and algebra, but will also appeal to everyone with an interest in seeing how functional analysis can be applied to other parts of mathematics.Springeroai:cds.cern.ch:22965282017
spellingShingle Mathematical Physics and Mathematics
Einsiedler, Manfred
Ward, Thomas
Functional analysis, spectral theory, and applications
title Functional analysis, spectral theory, and applications
title_full Functional analysis, spectral theory, and applications
title_fullStr Functional analysis, spectral theory, and applications
title_full_unstemmed Functional analysis, spectral theory, and applications
title_short Functional analysis, spectral theory, and applications
title_sort functional analysis, spectral theory, and applications
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-319-58540-6
http://cds.cern.ch/record/2296528
work_keys_str_mv AT einsiedlermanfred functionalanalysisspectraltheoryandapplications
AT wardthomas functionalanalysisspectraltheoryandapplications