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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
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Spectral Theory of Dynamical Systems - Second Edition (Paperback, 1st ed. 2020)
Loot Price: R3,449
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Spectral Theory of Dynamical Systems - Second Edition (Paperback, 1st ed. 2020)
Series: Texts and Readings in Mathematics, 15
Expected to ship within 10 - 15 working days
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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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