Klopotowski, A. ; Nadkarni, M. G. (1999) On the existence of automorphisms with simple Lebesgue spectrum Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 109 (1). pp. 47-55. ISSN 0253-4142
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Official URL: http://www.ias.ac.in/j_archive/mathsci/109/1/47-55...
Related URL: http://dx.doi.org/10.1007/BF02837766
Abstract
It is shown that if T is a measure preserving automorphism on a probability space (Ω,B, m) which admits a random variable X0 with mean zero such that the stochastic sequence X0 o Tn,n ε Z is orthonormal and spans L02(Ω,B,m), then for any integer k ≠ 0, the random variables X o Tnk,n ε Z generate B modulom.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Indian Academy of Sciences. |
| Keywords: | Dynamical System; Simple Lebesgue Spectrum; Walsh Function |
| ID Code: | 23432 |
| Deposited On: | 25 Nov 2010 09:16 |
| Last Modified: | 17 May 2016 07:15 |
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