Spectral Theory of Dynamical Systems - Second Edition (Hardcover, 1st ed. 2020)

This book discusses basic topics in the spectral theory of dynamical systems. It also includes two advanced theorems, one by H. Helson and W. Parry, and another by B. Host. Moreover, Ornstein's family of mixing rank-one automorphisms is given with construction and proof. Systems of imprimitivity and their relevance to ergodic theory are also examined. Baire category theorems of ergodic theory, scattered in literature, are discussed in a unified way in the book. Riesz products are introduced and applied to describe the spectral types and eigenvalues of rank-one automorphisms. Lastly, the second edition includes a new chapter "Calculus of Generalized Riesz Products", which discusses the recent work connecting generalized Riesz products, Hardy classes, Banach's problem of simple Lebesgue spectrum in ergodic theory and flat polynomials.

General

Imprint:	Springer Verlag, Singapore
Country of origin:	Singapore
Series:	Texts and Readings in Mathematics, 15
Release date:	September 2020
First published:	2020
Authors:	Mahendra Nadkarni
Dimensions:	235 x 155mm (L x W)
Format:	Hardcover
Pages:	223
Edition:	1st ed. 2020
ISBN-13:	978-981-15-6224-2
Categories:	Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Books > Science & Mathematics > Mathematics > Topology > General Books > Science & Mathematics > Mathematics > Applied mathematics > Non-linear science Books > Science & Mathematics > Physics > Thermodynamics & statistical physics > Statistical physics
LSN:	981-15-6224-5
Barcode:	9789811562242

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