Results 231 to 240 of about 351,035 (243)

Spectral Properties for Invertible Measure Preserving Transformations

Canadian Journal of Mathematics, 1973
An invertible measure preserving transformation T on the unit interval I generates a unitary operator U on the space L2(I) of Lebesque square integrable functions given by (Uf)(x) = f(Tx) for all f in L2(I) and x in I. By definitionfor all f , g in L2(I), the bar denoting complex conjugation.
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Linear Functionals Invariant Under Measure Preserving Transformations

Mathematische Nachrichten, 1984
The main result is the following: Theorem. Let (\(\Omega\),\(\Sigma\),\(\mu)\) be a standard measure space and let \(f\in L_{\infty}(\Omega,\Sigma,\mu)\) be such that \(\int_{\Omega}fd\mu =0\) then there exists a measure preserving transformation T of (\(\Omega\),\(\Sigma\),\(\mu)\) and \(g\in L_{\infty}(\Omega,\Sigma,\mu)\) such that \(f=g\circ T-g.\)
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Measurability – Preserving Weakly Mixing Transformations

Sarajevo Journal of Mathematics
In this paper we investigate measure-theoretic properties of the class of all weakly mixing transformations on a finite measure space which preserve measurability. The main result in this paper is the following theorem: If $\phi $ is a weakly mixing transformation on a finite measure space $( S, \mathcal A , \mu )$ with the property that $\phi ...
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Measure-preserving transformations, copulae and compatibility

2008
We study the relationship between copulas and measure-preserving transformations on the Borel sets of the u it interval. This also allows to investigate the connection with a restricted compatibility problem for copulas. To this end, in order to construct a 3-copula from two given 2-copulas A and B, we modify the *-operation introduced by Darsow et al.,
KOLESAROVA, A, MESIAR, R, SEMPI, Carlo, C.   +3 more
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Equivalence of measure preserving transformations

Memoirs of the American Mathematical Society, 1982
Donald S. Ornstein, Daniel J. Rudolph, Benjamin Weiss   +2 more
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Measure-preserving transformations

1975
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Approximation of measure-preserving transformations

Mathematical Systems Theory, 1972
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On Groups of Measure Preserving Transformations. II

American Journal of Mathematics, 1959
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Approximation of measure preserving transformations

Communications on Pure and Applied Mathematics, 1971
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Measure-preserving transformations

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