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Reverse Translation and Convolution Estimates in the Framework of the Mehler-Fock Transform
Abstract
In this paper, reverse translation and convolution estimates in the frame of μth order Mehler-Fock transform are obtained. Continuity properties of these operators on the test function space Hl,r,n have been discussed. Moreover, Sobolev space Sr,pN,α has been introduced and again continuity properties of these operators in this Sobolev space have been discussed.
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BibTeX
@misc{mandal2026reverse,
title = {{Reverse Translation and Convolution Estimates in the Framework of the Mehler-Fock Transform}},
author = {U. K. Mandal and Akhilesh Prasad and Sudhanshu Ranjan},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.18150},
eprint = {2610.18150},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.18150},
}
RIS
TY - UNPB
TI - Reverse Translation and Convolution Estimates in the Framework of the Mehler-Fock Transform
AU - U. K. Mandal
AU - Akhilesh Prasad
AU - Sudhanshu Ranjan
PY - 2026
DA - 2026/10/13
PB - arXiv
DO - 10.48550/arxiv.2610.18150
UR - https://arxiv.org/abs/2610.18150
AB - In this paper, reverse translation and convolution estimates in the frame of μ^th order Mehler-Fock transform are obtained. Continuity properties of these operators on the test function space H_l,r,n have been discussed. Moreover, Sobolev space S_r,p^N,α has been introduced and again continuity properties of these operators in this Sobolev space have been discussed.
ER -