3 citations · 4 across the 7 of their papers we have counts for
7 papers
Chromatic expansion with Bessel operator of fractional order
M. Chegaar, Á. P. Horváth
This paper develops a Bessel-chromatic expansion framework associated with fractional powers of the Bessel-Laplace operator. The construction combines methods of weighted polynomia…
Trace inequality with Bessel convolution
Mouna Chegaar, Á. P. Horváth
Considering potentials defined by Bessel kernel with Bessel convolution a Kerman-Sawyer type characterization of trace inequality is given. As an application an estimate on the lea…
Compactness criteria via Laguerre and Hankel transformations
Á. P. Horváth
The aim of this paper is to prove Kolmogorov-Riesz type theorems via Bessel and Laguerre translations, and Pego-type theorems by the corresponding transformations.
Note on the Equilibrium Measures of Julia sets of Exceptional Jacobi Polynomials
Á. P. Horváth
We prove that similarly to the standard case, the equilibrium measure of Julia sets of exceptional Jacobi polynomials tends to the equilibrium measure of the interval of orthogonal…
Discrete diffusion semigroups associated with Dunkl-Jacobi and exceptional Jacobi polynomials
Á. P. Horváth
Some weighted inequalities for the maximal operator with respect to the discrete diffusion semigroups associated with exceptional Jacobi and Dunkl-Jacobi polynomials are given. Thi…
Multiplication operator and exceptional Jacobi polynomials
Á. P. Horváth
Below the normalized weighted reciprocal of the Christoffel function with respect to exceptional Jacobi polynomials is investigated. It is proved that it tends to the equilibrium m…
Asymptotics for Recurrence Coefficients of X1-Jacobi Polynomials and Christoffel Function
Á. P. Horváth
Computing asymptotics of the recurrence coefficients of X1-Jacobi polynomials we investigate the limit of Christoffel function. We also study the relation between the normalized co…