Functional Analysis, Spectral Theory, and Applications, Softcover reprint of the original 1st ed. 2017 Graduate Texts in Mathematics Series, Vol. 276
Auteurs : Einsiedler Manfred, Ward Thomas
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.
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.
Date de parution : 08-2018
Ouvrage de 614 p.
15.5x23.5 cm
Date de parution : 11-2017
Ouvrage de 614 p.
15.5x23.5 cm
Mots-clés :
functional analysis; spectral theory of Banach algebras; Pontryagin duality; amenable groups; property (T); expander graph; elliptic regularity; Laplace operator; prime number theorem; measurable functional calculus; MSC 46-01; 47-01; 11N05; 20F69; 22B05; 35J25; 35P10; 35P20; ordinary differential equations; partial differential equations
