Smoothing Minimally Supported Frequency Wavelets. Part I.
Smoothing Minimally Suppprted Frequency Wavelets: Part II.
Solutions to Deconvolution Equations Using Nonperiodic Sampling.
Solving the axisymmetric inverse heat conduction problem by a wavelet dual least squares method.
Some eigenvalue estimates for wavelet related Toeplitz operators
By a straightforward computation we obtain eigenvalue estimates for Toeplitz operators related to the two standard reproducing formulas of the wavelet theory. Our result extends the estimates for Calderón-Toeplitz operators obtained by Rochberg in [R2]. In the first section we recall two standard reproducing formulas of the wavelet theory, we define Toeplitz operators and discuss some of their properties. The second section contains precise statements of our results and their proofs. At the end...
Some Essential Properties of Q...(...)-Spaces.
Some remarks on the unified characterization of reproducing systems.
The affine systems generated by Ψ ⊂ L2(Rn) are the systemsAA(Ψ) = {DjA Tk Ψ : j ∈ Z, k ∈ Zn},where Tk are the translations, and DA the dilations with respect to an invertible matrix A. As shown in [5], there is a simple characterization for those affine systems that are a Parseval frame for L2(Rn). In this paper, we correct an error in the proof of the characterization result from [5], by redefining the class of not-necessarily expanding dilation matrices for which this characterization result holds....
Spline Subdivision Schemes for Compact Sets. A Survey
Dedicated to the memory of our colleague Vasil Popov January 14, 1942 – May 31, 1990 * Partially supported by ISF-Center of Excellence, and by The Hermann Minkowski Center for Geometry at Tel Aviv University, IsraelAttempts at extending spline subdivision schemes to operate on compact sets are reviewed. The aim is to develop a procedure for approximating a set-valued function with compact images from a finite set of its samples. This is motivated by the problem of reconstructing a 3D object from...
Stability for nonlinear 2-D multiresolution: The approach of A. Harten.
Stability Theorems for Fourier Frames and Wavelet Riesz Bases.
Stationary vector subdivision: quotient ideals, differences and approximation power.
The paper considers stationary vector subdivision schemes, that is, subdivision schemes acting on vector valued sequences by using a matrix valued mask, and derives the analog of the well-known "zero condition" for an arbitrary number of variables as well as arbitrary expanding dilation matrices.
Subspace Weyl-Heisenberg Frames.
Sufficient conditions for functions to form Riesz bases in and applications to nonlinear boundary-value problems.
Sur l'existence des analyses multi-résolutions en théorie des ondelettes.
On montre qu'une base d'ondelettes (ψj,k) de L2(R) avec une fonction mère ψ höldérienne à support compact provient nécessairement d'une analyse multi-résolution. La fonction-père φ a alors la même régularité que la fonction ψ et peut être choisie à support compact.
The Affine Frame in -adic Analysis
In this paper, we will introduce the concept of affine frame in wavelet analysis to the field of -adic number, hence provide new mathematic tools for application of -adic analysis.
The Calderón Reproducing Formula, Windowed X-Ray Transforms, and Radon Transforms in L...-Spaces.
The Characterization of Low Pass Filters and Some Basic Properties of Wavelets, Scaling Functions and Related Concepts.
The construction of orthonormal wavelets using symbolic methods and a matrix analytical approach for wavelets on the interval.
The Construction of r-Regular Wavelets for Aabitrary Dilations.
The integral wavelet transform in weighted Sobolev spaces.