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Constructing pairs of dual bandlimited frame wavelets in $L^2(\mathbb{R}^n)$
real and expansive dilation matrix bandlimited wavelets dual frames
2010/12/10
Given a real, expansive dilation matrix we prove that any bandlimited function ∈ L2(Rn), for which the dilations of its Fourier transform form a partition of unity, generates a wavelet frame for cer...
Legendre multi-wavelets direct method for linear integro-differential equations
Integro-differential equation Legendre multi-wavelets
2010/9/13
We use the continuous Legendre multi-wavelets on the interval [0, 1) to solve the linear integro-differential equation. To do so, we reduced the problem into a system of algebraic equations. Illustrat...
Given a multiresolution analysis of multidimension, we construct pre-wavelets and a Rieszwavelet basis under some assumptions on the scale function. Example are provided.