Inverse continuous wavelet transform in weighted variable exponent amalgam spaces

Authors : Öznur KULAK, İsmail AYDIN

Pages : 1171-1183

Doi:10.31801/cfsuasmas.710208

View : 15 | Download : 9

Publication Date : 2020-12-31

Article Type : Research Paper

Abstract :The wavelet transform is an useful mathematical tool. It is a mapping of a time signal to the time-scale joint representation. The wavelet transform is generated from a wavelet function by dilation and translation. This wavelet function satisfies an admissible condition so that the original signal can be reconstructed by the inverse wavelet transform. In this study, we firstly give some basic properties of the weighted variable exponent amalgam spaces. Then we investigate the convergence of the θ-means of f in these spaces under some conditions. Finally, using these results the convergence of the inverse continuous wavelet transform is considered in these spaces.
Keywords : Weighted variable exponent amalgam spaces, Inverse continuous wavelet transform, θ summability