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Equiconvergence theorems for Laguerre series

Georgi Karadzhov (1992)

Banach Center Publications

The Szegö equiconvergence theorem for the Laguerre series is improved. In particular, a system of exact sufficient conditions is given.

Existence et régularité höldérienne des fonctions de bosses

Moez Ben Abid (2009)

Colloquium Mathematicae

We discuss the almost sure existence of random functions that can be written as sums of elementary pulses. We then estimate their uniform Hölder regularity by applying some results on coverings by random intervals.

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