On extensions of Rényi conditional probability spaces
On the Rényi theory of conditional probabilities
On the Urysohn condition and the convergence of probability distributions
On property in -spaces
Hilbert transform and singular integrals on the spaces of tempered ultradistributions
The Hilbert transform on the spaces of tempered ultradistributions is defined, uniquely in the sense of hyperfunctions, as the composition of the classical Hilbert transform with the operators of multiplying and dividing a function by a certain elliptic ultrapolynomial. We show that the Hilbert transform of tempered ultradistributions defined in this way preserves important properties of the classical Hilbert transform. We also give definitions and prove properties of singular integral operators...
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