Abelian theorems involving the fractional wavelet transforms

Abelian theorems involving the fractional wavelet transforms

In this paper, the initial-value and the final-value Abelian theorems are presented for the continuous fractional wavelet transform of functions and distributions. An application of these Abelian theorems to the continuous fractional wavelet transforms is also investigated by using the Mexican hat w...

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Veröffentlicht in:Filomat 2023, Vol.37 (28), p.9453-9468
Hauptverfasser: Srivastava, H.M., Mishra, Kush, Upadhyay, S.K.
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, the initial-value and the final-value Abelian theorems are presented for the continuous fractional wavelet transform of functions and distributions. An application of these Abelian theorems to the continuous fractional wavelet transforms is also investigated by using the Mexican hat wavelet function.
ISSN:0354-5180
2406-0933
DOI:10.2298/FIL2328453S