Titlebook: Spectral Theory of Dynamical Systems; Second Edition Mahendra Nadkarni Book 2020 Hindustan Book Agency 2020 and Springer Nature Singapore P

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世俗

Baire Category Theorems of Ergodic Theory,In this chapter we will describe a topology on the class of non-singular automorphisms on a measure space and discuss the Baire category of some naturally occurring subclasses of it. We shall make a similar study of the class of measure preserving automorphisms.

Gullible

,B. Host’s Theorem,A question of V. A. Rokhlin, whether a mixing automorphism is mixing of all orders, has an affirmative answer if the the spectrum of the automorphism is singular to Lebesgue measure. We prove this result of B. Host in this chapter. The general case remains open.

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本土

Generalities on Systems of Imprimitivity,In this chapter we define systems of imprimitivity and give their concrete characterization.

FOIL

诱使

Saturated Subgroups of the Circle Group,In this chapter we will discuss a technical property of being saturated in connection with subgroups of the circle group. In Chap. 11 we have seen that the group of eigenvalues of a non-singular automorphism is saturated.

troponins

Decline

Mahendra NadkarniDiscusses major topics in the spectral theory of dynamical systems.Includes two advanced theorems: a theorem by Helson and Parry, and B. Host’s theorem.Features a new chapter on “Calculus of Generaliz

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