Mexican hat wavelet transform of generalized functions in G′ spaces

In this paper, we study the Mexican hat wavelet transform (MHWT) of generalized function space G ′ . The space 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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Vydané v:	Proceedings of the Indian Academy of Sciences. Mathematical sciences Ročník 131; číslo 2
Hlavní autori:	Rawat, Aparna, Singh, Abhishek
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	New Delhi Springer India 01.10.2021 Springer Nature B.V
Predmet:	Entire functions Function space Mathematics Mathematics and Statistics Wavelet transforms Mexican hat wavelet transform (MHWT) 44A15 46F12 46F10 generalized functions wavelet transform Weierstrass transform 42A38
ISSN:	0253-4142, 0973-7685
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