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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 Taös 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.
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 Taös 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.
Thomas Ward studied mathematics at the University of Warwick and is Deputy Vice-Chancellor for student education at the University of Leeds. He works in ergodic theory and number theory, and has written several monographs, including Heights of Polynomials and Entropy in Algebraic Dynamics with Graham Everest and Ergodic Theory: with a view towards Number Theory with Manfred Einsiedler.
Includes over 400 exercises, with essential exercises marked as such
Gives a careful introduction to amenability, property (T), and expander graphs
Develops relatively advanced material in spectral theory, including a connection of the spectral theory of Banach algebras to the prime number theorem
| Erscheinungsjahr: | 2018 |
|---|---|
| Fachbereich: | Analysis |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Seiten: | 628 |
| Reihe: | Graduate Texts in Mathematics |
| Inhalt: |
xiv
614 S. 33 s/w Illustr. 614 p. 33 illus. |
| ISBN-13: | 9783319864235 |
| ISBN-10: | 3319864238 |
| Sprache: | Englisch |
| Ausstattung / Beilage: | Paperback |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Ward, Thomas
Einsiedler, Manfred |
| Auflage: | Softcover reprint of the original 1st ed. 2017 |
| Hersteller: |
Springer International Publishing
Graduate Texts in Mathematics |
| Maße: | 235 x 155 x 34 mm |
| Von/Mit: | Thomas Ward (u. a.) |
| Erscheinungsdatum: | 30.08.2018 |
| Gewicht: | 0,937 kg |
Thomas Ward studied mathematics at the University of Warwick and is Deputy Vice-Chancellor for student education at the University of Leeds. He works in ergodic theory and number theory, and has written several monographs, including Heights of Polynomials and Entropy in Algebraic Dynamics with Graham Everest and Ergodic Theory: with a view towards Number Theory with Manfred Einsiedler.
Includes over 400 exercises, with essential exercises marked as such
Gives a careful introduction to amenability, property (T), and expander graphs
Develops relatively advanced material in spectral theory, including a connection of the spectral theory of Banach algebras to the prime number theorem
| Erscheinungsjahr: | 2018 |
|---|---|
| Fachbereich: | Analysis |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Seiten: | 628 |
| Reihe: | Graduate Texts in Mathematics |
| Inhalt: |
xiv
614 S. 33 s/w Illustr. 614 p. 33 illus. |
| ISBN-13: | 9783319864235 |
| ISBN-10: | 3319864238 |
| Sprache: | Englisch |
| Ausstattung / Beilage: | Paperback |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Ward, Thomas
Einsiedler, Manfred |
| Auflage: | Softcover reprint of the original 1st ed. 2017 |
| Hersteller: |
Springer International Publishing
Graduate Texts in Mathematics |
| Maße: | 235 x 155 x 34 mm |
| Von/Mit: | Thomas Ward (u. a.) |
| Erscheinungsdatum: | 30.08.2018 |
| Gewicht: | 0,937 kg |
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