Large classes of minimally supported frequency wavelets of L 2 ( R ) and H 2 ( R )

Construction of Compactly Supported Nonseparable Orthogonal Wavelets of L^2(R^n)

Time-frequency localization of compactly supported wavelets

Two items will be presented in the talk. The rst one is modiication of classic Daubechies compactly supported wavelets preserving localization in time with the growth of smoothness. The second one is nonstation-ary wavelets with the use of scaling lters that vary from one scale to the next ner one. Wavelets are a tool for decomposing functions in various applications. It is closely connected wi...

Smoothing Minimally Supported Frequency (MSF) Wavelets : Part II

The main purpose of this paper is to give a procedure to “mollify” the low-pass filters of a large number of Minimally Supported Frequency (MSF) wavelets, so that the smoother functions obtained in this way are also low-pass filters for an MRA. Hence, we are able to approximate (in the L2-norm) MSF wavelets by wavelets with any desired degree of smoothness on the Fourier transform side. Althoug...

Construction of a class of trivariate nonseparable compactly supported wavelets with special dilation matrix

We present a method for  the construction of compactlysupported $left (begin{array}{lll}1 & 0 & -1\1 & 1 & 0 \1 &  0 & 1\end{array}right )$-wavelets  under a mild condition. Wavelets inherit thesymmetry of the corresponding scaling function and satisfies thevanishing moment condition originating in the symbols of the scalingfunction. As an application, an  example is  provided.

Band-Limited Wavelets with Subexponential Decay

It is well known that the compactly supported wavelets cannot belong to the class C∞(R) ∩ L(R). This is also true for wavelets with exponential decay. We show that one can construct wavelets in the class C∞(R)∩L2(R) that are “almost” of exponential decay and, moreover, they are band-limited. We do this by showing that we can adapt the construction of the Lemarié-Meyer wavelets [LM] that is foun...