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.
CITATION STYLE
Nayar, P., & Tkocz, T. (2014). A note on certain convolution operators. Lecture Notes in Mathematics, 2116, 405–412. https://doi.org/10.1007/978-3-319-09477-9_26
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