Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection

Permanent URI for this collectionhttps://hdl.handle.net/11147/7148

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Author: search.filters.author.Temur, FarukPublisher: search.filters.publisher.Academic Press

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    Discrete Fractional Integral Operators With Binary Quadratic Forms as Phase Polynomials
    (Academic Press, 2019) Temur, Faruk; Temur, Faruk; Sert, Ezgi; 04.02. Department of Mathematics; 04. Faculty of Science; 01. Izmir Institute of Technology
    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. (C) 2019 Elsevier Inc. All rights reserved.