Geodesic
Abelian theorems involving the fractional wavelet transforms
Filomat, Tome 37 (2023) no. 28, p. 9453

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DOI

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.
DOI : 10.2298/FIL2328453S
Classification : 42A38, 42C40, 46F12, 44A15, 46E35
Keywords: Fractional Fourier transform, Schwartz space, Distributional analysis, Continuous fractional wavelet transforms, Mexican hat wavelet function 
H M Srivastava; Kush Kumar Mishra; S K Upadhyay. Abelian theorems involving the fractional wavelet transforms. Filomat, Tome 37 (2023) no. 28, p. 9453 . doi: 10.2298/FIL2328453S
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     title = {Abelian theorems involving the fractional wavelet transforms},
     journal = {Filomat},
     pages = {9453 },
     year = {2023},
     volume = {37},
     number = {28},
     doi = {10.2298/FIL2328453S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2328453S/}
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