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Shift invariant measures and simple spectrum

100%

Kłopotowski A., Nadkarni M. G.

Colloquium Mathematicum

2000

tom 84/85

nr 2

385-394

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 $L^{2}$.

Sets with doubleton sections, good sets and ergodic theory

81%

Kłopotowski A., Nadkarni M., Sarbadhikari H., Srivastava S.

Fundamenta Mathematicae

2002

tom 173

nr 2

133-158

A Borel subset of the unit square whose vertical and horizontal sections are two-point sets admits a natural group action. We exploit this to discuss some questions about Borel subsets of the unit square on which every function is a sum of functions of the coordinates. Connection with probability measures with prescribed marginals and some function algebra questions is discussed.

Ograniczanie wyników

1 Colloquium Mathematicum

1 Fundamenta Mathematicae

2 Kłopotowski A.

1 Nadkarni M.

1 Nadkarni M. G.

1 Sarbadhikari H.

1 Srivastava S.

1 2002

1 2000

Wyniki wyszukiwania

Shift invariant measures and simple spectrum

Sets with doubleton sections, good sets and ergodic theory