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Proceedings of the Indian Academy of Sciences. Mathematical sciences
Article . 2021 . Peer-reviewed
License: Springer TDM
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https://dx.doi.org/10.1007/s12...
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Mexican hat wavelet transform of generalized functions in $$\varvec{\mathcal {G}}'$$ spaces

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Oct 2021 English Publisher:Springer Science and Business Media LLCJournal:Proceedings - Mathematical Sciences, volume 131 (issn: 0253-4142, eissn: 0973-7685, Copyright policy )
Authors: Aparna Rawat; Abhishek Singh;

doi: 10.1007/s12044-021-00627-6

Mexican hat wavelet transform of generalized functions in $$\varvec{\mathcal {G}}'$$ spaces

Abstract

In this paper, we study the Mexican hat wavelet transform (MHWT) of generalized function space $$\mathcal {G}'$$ . The space $$\mathcal {G}'$$ consists of purely entire functions with certain advance conditions developed by Howell (J. Math. Anal. Appl. 180 (1993) 79–92; 187 (1994). An inversion formula is also established.

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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!
5
Top 10%
Average
Average
gold