A note on certain convolution operators

Piotr Nayar; Tomasz Tkocz

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arXiv · 1301.2050

A note on certain convolution operators

Piotr Nayar·Tomasz Tkocz

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Abstract

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.

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Piotr Nayar, Tomasz Tkocz. 2013-01-10. A note on certain convolution operators. https://arxiv.org/abs/1301.2050

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