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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Bibliographic Details
Published in:Proceedings of the Indian Academy of Sciences. Mathematical sciences Vol. 131; no. 2
Main Authors: Rawat, Aparna, Singh, Abhishek
Format: Journal Article
Language:English
Published: New Delhi Springer India 01.10.2021
Springer Nature B.V
Subjects:
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
Online Access:Get full text
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Summary: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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content type line 14
ISSN:0253-4142
0973-7685
DOI:10.1007/s12044-021-00627-6