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arXiv:1301.2050 [math.PR]AbstractReferencesReviewsResources

A note on certain convolution operators

Piotr Nayar, Tomasz Tkocz

Published 2013-01-10, updated 2013-11-14Version 3

In this note we consider a certain class of convolution operators acting on the L_p spaces of the one dimensional torus. We prove that the identity minus such an operator is nicely invertible on the subspace of functions with mean zero.

Comments: 10 pages
Categories: math.PR
Subjects: 47G10, 47B34
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