TY - JOUR
A2 - Vampa, Victoria
AU - Guochang, Wu
AU - Xiaohui, Yang
AU - Zhanwei, Liu
PY - 2009
DA - 2009/08/20
TI - MRA Parseval Frame Wavelets and Their Multipliers in
SP - 492585
VL - 2009
AB - We characterize all generalized lowpass filters and multiresolution analysis(MRA) Parseval frame wavelets in L2(Rn) with matrix dilations of the form (Df)(x)=2f(Ax), where A is an arbitrary expanding n×n matrix with integer coefficients, such that|detA|=2. At first, we study the pseudo-scaling functions, generalized lowpass filters, andmultiresolution analysis (MRA) Parseval frame wavelets and give some important characterizationsabout them. Then, we describe the multiplier classes associated with Parseval framewavelets in L2(Rn) and give an example to prove our theory.
SN - 1024-123X
UR - https://doi.org/10.1155/2009/492585
DO - 10.1155/2009/492585
JF - Mathematical Problems in Engineering
PB - Hindawi Publishing Corporation
KW -
ER -