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Convergence of the inverse continuous wavelet transform in Wiener amalgam spaces
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Ferenc Weisz
Veröffentlicht/Copyright:
3. Februar 2015
Abstract
The inversion formula for the continuous wavelet transform is usually considered in the weak sense. With the help of summability methods of Fourier transforms we obtain norm convergence and convergence at Lebesgue points of the inverse wavelet transform for functions from the Lp and Wiener amalgam spaces.
Keywords: Continuous wavelet transform; Wiener amalgam spaces; θ-summability; inversion formula; Hardy spaces
Received: 2014-6-6
Accepted: 2015-1-21
Published Online: 2015-2-3
Published in Print: 2015-3-1
© 2015 by De Gruyter
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Artikel in diesem Heft
- Frontmatter
- Partial boundary regularity of non-linear parabolic systems in low dimensions
- A symmetry result for strictly convex domains
- Convergence of the inverse continuous wavelet transform in Wiener amalgam spaces
- Generalized quasi-reversibility method for a backward heat equation with a fractional Laplacian
- Certain identities, connection and explicit formulas for the Bernoulli and Euler numbers and the Riemann zeta-values
Schlagwörter für diesen Artikel
Continuous wavelet transform;
Wiener amalgam spaces;
θ-summability;
inversion formula;
Hardy spaces
Artikel in diesem Heft
- Frontmatter
- Partial boundary regularity of non-linear parabolic systems in low dimensions
- A symmetry result for strictly convex domains
- Convergence of the inverse continuous wavelet transform in Wiener amalgam spaces
- Generalized quasi-reversibility method for a backward heat equation with a fractional Laplacian
- Certain identities, connection and explicit formulas for the Bernoulli and Euler numbers and the Riemann zeta-values
