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Inversion of Bessel Potentials with the Aid of Weighted Wavelet Transforms

✍ Scribed by Ilham A. Aliev; Melih Eryigit

Publisher
John Wiley and Sons
Year
2002
Tongue
English
Weight
175 KB
Volume
242
Category
Article
ISSN
0025-584X

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✦ Synopsis

A special type of weighted wavelet transforms is introduced and the relevant Calderón reproducing formula for functions f ∈ L p (IR n ) is proved. By making use of these wavelet-type transforms a new inversion formula of the classical Bessel potentials is obtained.

πŸ“œ SIMILAR VOLUMES

Computation of the Laplace inverse trans
Computation of the Laplace inverse transform by application of the wavelet theory
✍ Wang, Jizeng ;Zhou, Youhe ;Gao, Huajian πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 270 KB πŸ‘ 1 views

## Abstract An efficient and robust method of solving Laplace inverse ransform is proposed based on the wavelet theory. The inverse function is expressed as a wavelet expansion with rapid convergence. Several examples are provided to demonstrate the methodology. As an example of application, the pr