The infinite-order integro-differential operator related to the Lebedev-Skalskaya transform
type: Item
instance of: scholarly article
title: The infinite-order integro-differential operator related to the Lebedev-Skalskaya transform
zbMATH Open document ID: 1548.44002
author: Ajay K. Gupt
author: Akhilesh Prasad
published in: Journal of Pseudo-Differential Operators and Applications
publication date: 2024-08-26T00:00:00Z
review text: The article contains a study about infinite order integro-differential operators in terms of the Lebedev-Skalskaya transform. Further, some condition for operator to be unitary are deduced. The article shows a glimpse that such kind of investigation can also be carried out for some different kind of integral transformation. There are several kinds of integral transformations with certain restrictions corresponding to their cases. By analyzing the steps given in this paper, such research might be carried out. As far as the calculations are concerned, they are correct.
reviewed by: Upain Kumar Mandal
Mathematics Subject Classification ID: 44A15
Mathematics Subject Classification ID: 45E10
Mathematics Subject Classification ID: 34A35
Mathematics Subject Classification ID: 44A35
zbMATH DE Number: 7901414
zbMATH Keywords: convolution
zbMATH Keywords: Lebedev-Skalskaya transform
zbMATH Keywords: infinite-order differential operator
zbMATH Keywords: Watson theorem
MaRDI profile type: Publication
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DOI: 10.1007/S11868-024-00596-0
description: scientific article; zbMATH DE number 7901414