Functional analysis spectral theory and applications
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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.
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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Taal: en
Bindwijze: Hardcover
Oorspronkelijke releasedatum: 29 november 2017
Aantal pagina's: 614
Illustraties: Nee
Hoofdauteur: Manfred Einsiedler
Tweede Auteur: Thomas Ward
Hoofduitgeverij: Springer
Editie: 1st ed. 2017
Extra groot lettertype: Nee
Product breedte: 155 mm
Product lengte: 235 mm
Studieboek: Ja
Verpakking breedte: 156 mm
Verpakking hoogte: 35 mm
Verpakking lengte: 230 mm
Verpakkingsgewicht: 10579 g
EAN: 9783319585390