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ArticleOriginal scientific text

Title

Shift invariant measures and simple spectrum

Authors ¹, ²

Affiliations

Institut Galilée, Université Paris XIII, 93430 Villetaneuse Cedex, France
Department of Mathematics, University of Mumbai, Kalina, Mumbai, India 400098

Abstract

We consider some descriptive properties of supports of shift invariant measures on

ℂ^{ℤ}

under the assumption that the closed linear span (in

L^{2}

) of the co-ordinate functions on

ℂ^{ℤ}

is all of

L^{2}

.

Keywords

good measure, linked component, shift, simple spectrum, good set

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