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Some remarks on Boas transforms of wavelets.
- Source :
-
Integral Transforms & Special Functions . Feb2020, Vol. 31 Issue 2, p107-117. 11p. - Publication Year :
- 2020
-
Abstract
- In this paper, we study Boas transforms of wavelets and obtain a sufficient condition under which the Boas transform of a wavelet is the derivative of another wavelet. Also, a characterization of the Boas transform of a wavelet ψ ∈ B R − [ − 1 , 1 ] is given. A sufficient condition is given to obtain higher order vanishing moments of Boas transforms of wavelets. Further, we study the Boas transform of wavelets in L 2 (R 2). Finally, higher order vanishing moments of Boas transforms of wavelets have been used to approximate finite energy functions. [ABSTRACT FROM AUTHOR]
- Subjects :
- *WAVELET transforms
*ENERGY function
*HILBERT transform
Subjects
Details
- Language :
- English
- ISSN :
- 10652469
- Volume :
- 31
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Integral Transforms & Special Functions
- Publication Type :
- Academic Journal
- Accession number :
- 141134469
- Full Text :
- https://doi.org/10.1080/10652469.2019.1668787