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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Spectral Theory of Dynamical Systems: Second Edition

Spectral Theory of Dynamical Systems: Second Edition

Nadkarni, Mahendra

Hardcover

Series: Texts and Readings in Mathematics, Book 15

General Mathematics

ISBN10: 9811562245
ISBN13: 9789811562242
Publisher: Springer Nature
Published: Aug 30 2020
Pages: 223
Weight: 1.13
Height: 0.56 Width: 6.14 Depth: 9.21
Language: English
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.

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