Continuity and inversion of the wavelet transform

Using a converse form of the Schwarz inequality L 2 -continuity results for the wavelet transform and its adjoint are obtained. A relation between the wavelet transform and the Fourier transform is established. The self-adjoint case is investigated and a complex inversion formula for the wavelet tra...

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Vydáno v:Integral transforms and special functions Ročník 6; číslo 1-4; s. 85 - 93
Hlavní autor: Pathak, R.S.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Gordon and Breach Science Publishers 01.03.1998
Témata:
adjoint operator
Fourier transform
inversion formula
wavelet transform
ISSN:1065-2469, 1476-8291
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Shrnutí:Using a converse form of the Schwarz inequality L 2 -continuity results for the wavelet transform and its adjoint are obtained. A relation between the wavelet transform and the Fourier transform is established. The self-adjoint case is investigated and a complex inversion formula for the wavelet transform is derived. Wavelet transform of generalised functions is investigated.
ISSN:1065-2469
1476-8291
DOI:10.1080/10652469808819153