On wavelets related to the Walsh series

Authors:
Yu. A. Farkov
Affiliations:
Higher Mathematics and Mathematical Modelling Department, Russian State Geological Prospecting University, 23, Ulitsa Miklukho - Maklaya, Moscow 117997, Russia
Venue:
Journal of Approximation Theory
Year:
2009

Citing 4
Cited 0

Ten lectures on wavelets

Ten lectures on wavelets
An algorithm for matrix extension and wavelet construction

Mathematics of Computation
Orthogonal wavelets on the Cantor dyadic group

SIAM Journal on Mathematical Analysis
p-adic refinable functions and MRA-based wavelets

Journal of Approximation Theory

Quantified Score

Hi-index	0.00

Visualization

Abstract

For any integers p,n=2 necessary and sufficient conditions are given for scaling filters with p^n many terms to generate a p-multiresolution analysis in L^2(R"+). A method for constructing orthogonal compactly supported p-wavelets on R"+ is described. Also, an adaptive p-wavelet approximation in L^2(R"+) is considered.