MRA Parseval Frame Wavelets and Their Multipliers inL2(Rn)
2009 ◽
Vol 2009
◽
pp. 1-17
◽
Keyword(s):
We characterize all generalized lowpass filters and multiresolution analysis(MRA) Parseval frame wavelets inL2(Rn)with matrix dilations of the form(Df)(x)=2f(Ax), where A is an arbitrary expandingn×nmatrix with integer coefficients, such that|detA|=2. At first, we study the pseudo-scaling functions, generalized lowpass filters, and multiresolution analysis (MRA) Parseval frame wavelets and give some important characterizations about them. Then, we describe the multiplier classes associated with Parseval frame wavelets inL2(Rn)and give an example to prove our theory.
Keyword(s):
2006 ◽
Vol 21
(3)
◽
pp. 281-304
◽
2012 ◽
Vol 10
(01)
◽
pp. 1250008
◽
2011 ◽
Vol 225-226
◽
pp. 1092-1095
2014 ◽
Vol 38
(4)
◽
pp. 751-764
◽
2013 ◽
Vol 712-715
◽
pp. 2464-2468
Keyword(s):