Abstract
The smoothness of functions f in the space Lp(R) with 1<p<∞ is studied through the local convergence of the continuous wavelet transform of f. Additionally, we study the smoothness of functions in Lp(R) by means of the local convergence of the semi-discrete wavelet transform.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference26 articles.
1. The one dimensional regularity of the continuous wavelet transform applied to weak solutions;Navarro;Pioneer J. Math. Math. Sci.,2012
2. Convergence of the continuous wavelet transform with rotations in higher dimensions
3. On continuous wavelet transforms of distributions
4. Weighted Littlewood-Paley Theory and Exponential-Square Integrability;Wilson,2008
5. How Fast and in what Sense(s) Does the Calderón Reproducing Formula Converge?