Please use this identifier to cite or link to this item:
https://hdl.handle.net/11147/8896
Title: | Discrete Fractional Integral Operators With Binary Quadratic Forms as Phase Polynomials | Authors: | Temur, Faruk Sert, Ezgi |
Keywords: | Discrete fractional integral operators Discrete singular Radon transforms Binary quadratic forms |
Publisher: | Academic Press | 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. (C) 2019 Elsevier Inc. All rights reserved. | URI: | https://doi.org/10.1016/j.jfa.2019.108287 https://hdl.handle.net/11147/8896 |
ISSN: | 0022-1236 1096-0783 |
Appears in Collections: | Mathematics / Matematik Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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1-s2.0-S0022123619302502-main.pdf | 474.21 kB | Adobe PDF | View/Open |
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