Science & Math | Scientific Reference
Spectral Theory of Dynamical Systems
by Mahendra Nadkarni 2020-09-15 21:50:25
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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... Read more
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. Less
  • Publication date
  • Language
  • ISBN
  • August 29, 2020
  • eng
  • 9789811562259
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Mahendra Nadkarni
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Mahendra Nadkarni is Emeritus Professor of mathematics at the University of Mumbai, India. He earned his M.Sc. degree in Mathematics from the University of Mumbai in 1960 and Ph.D. in applied mathemat...
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