LCT Based Integral Transforms and Hausdorff Operators

Pankaj Jain; Sandhya Jain; Vladimir Dmitrievich Stepanov

LCT Based Integral Transforms and Hausdorff Operators

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Authors

Pankaj Jain
Sandhya Jain
Vladimir Dmitrievich Stepanov

Keywords:

LCT, linear canonical cosine transform, linear canonical sine transform, Hausdorff operators

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.

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Published

2024-05-29

How to Cite

Jain, P., Jain, S., & Stepanov, V. D. (2024). LCT Based Integral Transforms and Hausdorff Operators. Eurasian Mathematical Journal, 11(1). Retrieved from https://emj.enu.kz/index.php/main/article/view/170