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Boletim da Sociedade Paranaense de Matemática
Article . 2022 . Peer-reviewed
License: CC BY
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zbMATH Open
Article . 2022
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General integral transform – its convergence and consequences

General integral transform -- its convergence and consequences
Authors: Dwiptendra Bandyopadhyay;

General integral transform – its convergence and consequences

Abstract

Objective of this study is to give a shape of general integral transform for studying its convergence in the general set-up, from which convergences of some well know integral transforms follow easily as well as these integral transforms appear as particular cases of the present integral transform; some more may appear as new but special cases of present transform which have been listed but not studied here.

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Keywords

General integral transforms, convergence, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, QA1-939, Special integral transforms (Legendre, Hilbert, etc.), integral transforms, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
gold