“compactly” Supported Frames for Spaces of Distributions on the Ball

Compactly Supported Frames for Spaces of Distributions Associated with Non-negative Self-adjoint Operators

A small perturbation method is developed and deployed to the construction of frames with compactly supported elements of small shrinking supports for Besov and Triebel-Lizorkin spaces in the general setting of a doubling metric measure space in presence of a non-negative self-adjoint operator whose heat kernel has Gaussian localization and the Markov property. This allows, in particular, to dev...

Compactly Supported Reenable Distributions in Triebel-lizorkin Spaces and Besov Spaces

The aim of this paper is to characterize compactly supported re-nable distributions in Triebel-Lizorkin spaces and Besov spaces by projection operators on certain wavelet space and by some operators on a nitely dimensional space.

Collocation Method using Compactly Supported Radial Basis Function for Solving Volterra's Population Model

‎In this paper‎, ‎indirect collocation approach based on compactly supported radial basis function (CSRBF) is applied for solving Volterra's population model. The method reduces the solution of this problem to the solution of a system of algebraic equations‎. ‎Volterra's model is a non-linear integro-differential equation where the integral term represents the effect of toxin‎. ‎To solve the pr...

Characterization of Sobolev Spaces of Arbitrary Smoothness Using Nonstationary Tight Wavelet Frames

In this paper we shall characterize Sobolev spaces of an arbitrary order of smoothness using nonstationary tight wavelet frames for L2(R). In particular, we show that a Sobolev space of an arbitrary fixed order of smoothness can be characterized in terms of the weighted `2-norm of the analysis wavelet coefficient sequences using a fixed compactly supported nonstationary tight wavelet frame in L...

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