Certain convolution type operators on L_1 are nicely invertible

Prelegent(ci)

Tomasz Tkocz

Afiliacja

University of Warwick

Termin

21 marca 2013 12:15

Pokój

p. 3260

Seminarium

Seminarium Zakładu Rachunku Prawdopodobieństwa

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We will consider convolution operators acting on the L_1 space of functions defined on the unit circle equipped with the Lebesgue measure. The kernels will be related to a wide class of random variables having just a one "decent", e.g. absolutely continuous, bit. We will prove that the identity minus such an operator is nicely invertible on the subspace of functions with mean zero.

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