Products of Two-Wavelet Multipliers and Their Traces

2009 ◽  
pp. 195-211 ◽  
Author(s):  
Viorel Catană
Keyword(s):  
Wavelet Multipliers

scholarly journals $L^{p}$-boundedness of wavelet multipliers

2004 ◽  
Vol 33 (3) ◽  
pp. 637-645 ◽  
Author(s):  
Bolin MA ◽  
M.W. WONG
Keyword(s):  
Wavelet Multipliers

scholarly journals Wavelet multipliers on $L^p(\mathbb{R}^n)$

2007 ◽  
Vol 136 (03) ◽  
pp. 1009-1019 ◽  
Author(s):  
Yu Liu ◽  
Alip Mohammed ◽  
M. W. Wong
Keyword(s):  
Wavelet Multipliers

CONSTRUCTION OF MRA E-TIGHT FRAME WAVELETS, MULTIPLIERS AND CONNECTIVITY PROPERTIES

2011 ◽  
Vol 09 (05) ◽  
pp. 713-729 ◽  
Author(s):  
DENG-FENG LI ◽  
JUN-FANG CHENG
Keyword(s):  
Tight Frame ◽  
Dilation Matrix ◽  
The Matrix ◽  
Low Pass ◽  
Frame Wavelets ◽  
Wavelet Multipliers

A method that constructs an MRA E-tight frame wavelet by using a generalized low pass E-filter is given, and it is showed that all of MRA E-tight frame wavelets can be obtained via the method, where the dilation matrix E is the quincunx matrix or the matrix consists of (0, 1)T and (2, 0)T. Furthermore, the properties of MRA E-tight frame wavelet multipliers as well as E-pseudoscaling function multipliers and generalized low pass E-filter multipliers are characterized. In addition, as an application of these multipliers, we discuss the connectivity of the set of all MRA E-tight frame wavelets in L2(R2).

Boundedness and compactness of Dunkl two-wavelet multipliers

2017 ◽  
Vol 15 (05) ◽  
pp. 1750048 ◽  
Author(s):  
Hatem Mejjaoli
Keyword(s):  
Linear Operator ◽  
Trace Formula ◽  
Bounded Linear Operator ◽  
Trace Class ◽  
Bounded Linear ◽  
Wavelet Multipliers

We introduce the notion of a Dunkl two-wavelet multiplier, and we give its trace formula as a bounded linear operator in the trace class from [Formula: see text] into [Formula: see text] in terms of the symbol and the two admissible wavelets. Next, we give results on the boundedness and compactness of Dunkl two-wavelet multipliers on [Formula: see text], [Formula: see text].

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