000			01777 a2200265 4500
003			NISER
005			20260113111946.0
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020			_a9789386279811 _qHardback
040			_aNISER LIBRARY _beng _cNISER LIBRARY
082	0	4	_a517.518.11 _bNAD-S
100	1		_aNadkarni, M. G.
245	1	0	_aSpectral theory of dynamical systems
250			_a2nd edition
260			_aNew Delhi : _bHindustan Book Agency, _c2020.
300			_aviii, 223 pages ; _c22 cm.
490			_aTexts and readings in mathematics ; _v15
504			_aIncludes bibliographical references and index.
520			_aThis book introduces some basic topics in the spectral theory of dynamical systems, but also includes advanced topics such as a theorem due to H. Helson and W. Parry, and another due to B. Host. Moreover, Ornstein's family of mixing rank one automorphisms is described with construction and proof. Systems of imprimitivity, and their relevance to ergodic theory, are discussed. Baire category theorems of ergodic theory, scattered in the literature, are derived in a unified way. Riesz products are considered, and they are used to describe the spectral types and eigenvalues of rank one automorphisms. In this edition the main change is that a new chapter is added which discusses more recent results connecting generalized Riesz products, Hardy classes, spectral ergodic theory and flat polynomials.
650		0	_aDifferentiable dynamical systems
650		0	_aSpectral theory (Mathematics)
856	4	1	_3Table of contents _uhttp://www.hindbook.com/images/trim15_content.pdf
856	4	1	_3Reviews _uhttps://www.goodreads.com/book/show/42265085-spectral-theory-of-dynamical-systems?ref=nav_sb_ss_1_13#CommunityReviews
942			_cBK _2udc
999			_c36749 _d36749