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arXiv · 1801.07010

Discrete fractional integral operators with binary quadratic forms as phase polynomials

Faruk Temur·Ezgi Sert
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Abstract

We give estimates on discrete fractional integral operators along binary quadratic forms. These operators have been studied for 30 years starting with the investigations of Arkhipov and Oskolkov, but efforts have concentrated on cases where the phase polynomial is translation invariant or quasi-translation invariant. This work presents the first results for operators with neither translation invariant nor quasi-translation invariant phase polynomials.

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Faruk Temur, Ezgi Sert. 2018-01-22. Discrete fractional integral operators with binary quadratic forms as phase polynomials. https://arxiv.org/abs/1801.07010

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