Some remarks on Boas transforms of wavelets

Nikhil Khanna; S. K. Kaushik; Abdulla M. Jarrah

doi:10.1080/10652469.2019.1668787

Some remarks on Boas transforms of wavelets

Nikhil Khanna, S. K. Kaushik, Abdulla M. Jarrah

Mathematics

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

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 (Formula presented.) 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 (Formula presented.). Finally, higher order vanishing moments of Boas transforms of wavelets have been used to approximate finite energy functions.

Original language	English
Pages (from-to)	107-117
Number of pages	11
Journal	Integral Transforms and Special Functions
Volume	31
Issue number	2
DOIs	https://doi.org/10.1080/10652469.2019.1668787
Publication status	Published - 2020

Keywords

42A38
42C40
44A15
44A60
Boas transform
Fourier transform
Hilbert transform
vanishing moments
wavelets

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1080/10652469.2019.1668787

Cite this

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title = "Some remarks on Boas transforms of wavelets",

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 (Formula presented.) 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 (Formula presented.). Finally, higher order vanishing moments of Boas transforms of wavelets have been used to approximate finite energy functions.",

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T1 - Some remarks on Boas transforms of wavelets

AU - Khanna, Nikhil

AU - Kaushik, S. K.

AU - Jarrah, Abdulla M.

PY - 2020

Y1 - 2020

N2 - 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 (Formula presented.) 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 (Formula presented.). Finally, higher order vanishing moments of Boas transforms of wavelets have been used to approximate finite energy functions.

AB - 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 (Formula presented.) 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 (Formula presented.). Finally, higher order vanishing moments of Boas transforms of wavelets have been used to approximate finite energy functions.

KW - 42A38

KW - 42C40

KW - 44A15

KW - 44A60

KW - Boas transform

KW - Fourier transform

KW - Hilbert transform

KW - vanishing moments

KW - wavelets

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DO - 10.1080/10652469.2019.1668787

M3 - Article

SN - 1065-2469

VL - 31

SP - 107

EP - 117

JO - Integral Transforms and Special Functions

JF - Integral Transforms and Special Functions

IS - 2

ER -

Some remarks on Boas transforms of wavelets

Abstract

Keywords

ASJC Scopus subject areas

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