Displaying similar documents to “On the integrability of the ergodic Hilbert transform for a class of functions with equal absolute values.”

Analytic nonregular cocycles over irrational rotations

Mariusz Lemańczyk (1995)

Commentationes Mathematicae Universitatis Carolinae

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Analytic cocycles of type I I I 0 over an irrational rotation are constructed and an example of that type is given, where all corresponding special flows are weakly mixing.

Continuous subadditive processes and formulae for Lyapunov characteristic exponents

Wojciech Słomczyński (1995)

Annales Polonici Mathematici

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Asymptotic properties of various semidynamical systems can be examined by means of continuous subadditive processes. To investigate such processes we consider different types of exponents: characteristic, central, singular and global exponents and we study their properties. We derive formulae for central and singular exponents and show that they provide upper bounds for characteristic exponents. The concept of conjugate processes introduced in this paper allows us to find lower bounds...

A note on a generalized cohomology equation

K. Krzyżewski (2000)

Colloquium Mathematicae

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We give a necessary and sufficient condition for the solvability of a generalized cohomology equation, for an ergodic endomorphism of a probability measure space, in the space of measurable complex functions. This generalizes a result obtained in [7].