Irregular Sampling and the Inverse Spectral Problem.
Irregular Sampling in Wavelet Subspaces.
Isometric tight frames.
Iterative Reconstructions in Irregular Sampling With Derivates.
Jacobi matrices on trees
Symmetric Jacobi matrices on one sided homogeneous trees are studied. Essential selfadjointness of these matrices turns out to depend on the structure of the tree. If a tree has one end and infinitely many origin points the matrix is always essentially selfadjoint independently of the growth of its coefficients. In case a tree has one origin and infinitely many ends, the essential selfadjointness is equivalent to that of an ordinary Jacobi matrix obtained by restriction to the so called radial functions....
Jacobi Polynomial Estimates and Fourier-Laplace Convergence.
Jacobi-Sobolev orthogonal polynomials: asymptotics for -coherence of measures.
Kantorovic Operators of Second Order.
Konvergenzverhalten der konjugierten Shannonschen Abtastreihe
Kurzweil-Henstock type integral on zero-dimensional group and some of its applications
A Kurzweil-Henstock type integral on a zero-dimensional abelian group is used to recover by generalized Fourier formulas the coefficients of the series with respect to the characters of such groups, in the compact case, and to obtain an inversion formula for multiplicative integral transforms, in the locally compact case.
expansions in series of fractional parts.
- and -discrepancy of (order 2) digital nets
Dick proved that all dyadic order 2 digital nets satisfy optimal upper bounds on the -discrepancy. We prove this for arbitrary prime base b with an alternative technique using Haar bases. Furthermore, we prove that all digital nets satisfy optimal upper bounds on the discrepancy function in Besov spaces with dominating mixed smoothness for a certain parameter range, and enlarge that range for order 2 digital nets. The discrepancy function in Triebel-Lizorkin and Sobolev spaces with dominating mixed...
boundedness of Riesz transforms for orthogonal polynomials in a general context
Nowak and Stempak (2006) proposed a unified approach to the theory of Riesz transforms and conjugacy in the setting of multi-dimensional orthogonal expansions, and proved their boundedness on L². Following them, we give easy to check sufficient conditions for their boundedness on , 1 < p < ∞. We also discuss the symmetrized version of these transforms.
norm convergence of rational operators on the unit circle.
L... Solutions of Refinement Equations.
La multiplication d'une forme linéaire par une fraction rationnelle. Application aux formes de Laguerre-Hahn
La version ondelettes du théorème du Jacobien.
Nous définissons un produit renormalisé par ondelettes qui améliore, dans certains cadres fonctionnels, les propriétés du produit usuel de deux fonctions. Grâce à cette technique de renormalisation du produit nous obtenons une démonstration par ondelettes d'une version précisée du théorème du Jacobien. Finalement nous établissons le lien entre ce produit renormalisé par ondelettes et les paraproduits de J.M. Bony.
Lacunary Fractional brownian Motion
In this paper, a new class of Gaussian field is introduced called Lacunary Fractional Brownian Motion. Surprisingly we show that usually their tangent fields are not unique at every point. We also investigate the smoothness of the sample paths of Lacunary Fractional Brownian Motion using wavelet analysis.
Lacunary Fractional Brownian Motion
In this paper, a new class of Gaussian field is introduced called Lacunary Fractional Brownian Motion. Surprisingly we show that usually their tangent fields are not unique at every point. We also investigate the smoothness of the sample paths of Lacunary Fractional Brownian Motion using wavelet analysis.
Lattice Size Estimates for Gabor Decompositions.