P. Jain, S. Jain, V. D. Stepanov, “LCT based integral transforms and Hausdorff operators”, Eurasian Math. J., 2020, Volume 11, Number 1,Pages <nobr>57

This article is cited in 9 papers

LCT based integral transforms and Hausdorff operators

P. Jain^a, S. Jain^b, V. D. Stepanov^c

^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.

MSC: 44A35, 26D20

Received: 14.04.2019

Language: English

DOI: 10.32523/2077-9879-2020-11-1-57-71