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 Eurasian Math. J., 2020, Volume 11, Number 1, Pages 57–71 (Mi emj356)

LCT based integral transforms and Hausdorff operators

P. Jaina, S. Jainb, V. D. Stepanovc

a Department of Mathematics, South Asian University, Akbar Bhawan, Chanakya Puri, New Delhi – 110 021, India
b Department of Mathematics, Vivekananda College (University of Delhi), Vivek Vihar, Delhi - 110095, India
c Computing Center of the Far Eastern Branch of the Russian Academy of Sciences, Kim Yu Chen str. 65, 680000 Khabarovsk, Russia

Abstract: In this paper, it is shown that certain Hausdorff operator and its adjoint are connected by linear canonical sine as well as linear canonical cosine transforms. The results have been proved in one as well as in two dimensions.

Keywords and phrases: LCT, linear canonical cosine transform, linear canonical sine transform, Hausdorff operators.

 Funding Agency Grant Number Russian Foundation for Basic Research 19-01-00223 Department of Science and Technology, India DST/INT/RUS/RSF/P-01 The research of the first and the second authors was supported by the Department of Science & Technology of the Ministry of Science and Technology of the Republic of India (project DST/INT/RUS/RSF/P-01) and the work of the third author — by the Russian Foundation for Basic Researches (project 19-01-00223).

DOI: https://doi.org/10.32523/2077-9879-2020-11-1-57-71

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MSC: 44A35, 26D20
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Citation: P. Jain, S. Jain, V. D. Stepanov, “LCT based integral transforms and Hausdorff operators”, Eurasian Math. J., 11:1 (2020), 57–71

Citation in format AMSBIB
\Bibitem{JaiJaiSte20} \by P.~Jain, S.~Jain, V.~D.~Stepanov \paper LCT based integral transforms and Hausdorff operators \jour Eurasian Math. J. \yr 2020 \vol 11 \issue 1 \pages 57--71 \mathnet{http://mi.mathnet.ru/emj356} \crossref{https://doi.org/10.32523/2077-9879-2020-11-1-57-71}