Continuous Wavelet Transform Associated With The Bessel Operator
Khalifa Trimeche · 2001
The classical continuous wavelet transform for functions on R is an integral transform for which the kernel is the dilated translate of a so-called wavelet g, a quite arbitrary square integrable function on R. A Plancherel formula for this transform is obtained, and in the course of its derivation we naturally arrive at an admissibility assumption for the wavelet g. There follow a Parseval and a pointwise reconstruction formula In this chapter, using the paper [52] we give whithout proofs the main results or the classical wavelets on [0, + <»[, and on the classical wavelet transform on [0, »[.