A note on certain convolution operators

Piotr Nayar; Tomasz Tkocz

doi:10.1007/978-3-319-09477-9__26

A note on certain convolution operators

Piotr Nayar, Tomasz Tkocz

Institute for Mathematics and its Applications

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	405-412
Number of pages	8
Journal	Lecture Notes in Mathematics
Volume	2116
DOIs	https://doi.org/10.1007/978-3-319-09477-9__26
State	Published - 2014

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© Springer International Publishing Switzerland 2014.

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abstract = "In this note we consider a certain class of convolution operators acting on the Lp 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.",

author = "Piotr Nayar and Tomasz Tkocz",

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A note on certain convolution operators

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