321-polygon-avoiding permutations and Chebyshev polynomials.
A Bochner theorem for Dunkl polynomials.
A characterization of the four Chebyshev orthogonal families.
A characterization of the orthogonal polynomials.
A Cohen type inequality for Fourier expansions of orthogonal polynomials with a nondiscrete Jacobi-Sobolev inner product.
A combinatorial derivation with Schröder paths of a determinant representation of Laurent biorthogonal polynomials.
A combinatorial representation with Schröder paths of biorthogonality of Laurent biorthogonal polynomials.
A counterexample to an assertion due to Blumenthal.
A general construction of nonseparable multivariate orthonormal wavelet bases
The construction of nonseparable and compactly supported orthonormal wavelet bases of L 2(R n); n ≥ 2, is still a challenging and an open research problem. In this paper, we provide a special method for the construction of such wavelet bases. The wavelets constructed by this method are dyadic wavelets. Also, we show that our proposed method can be adapted for an eventual construction of multidimensional orthogonal multiwavelet matrix masks, candidates for generating multidimensional multiwavelet...
A generalization of Bateman's expansion and finite integrals of Sonine's and Feldheim's type
Let be a sequence of arbitrary complex numbers, let α,β > -1, let Pₙα,βn=0+∞
A new proof of a theorem about generalized orthogonal polynomials.
A note on a one-parameter family of Catalan-like numbers.
A note on comprehensive backward biorthogonalization.
A note on semi-classical orthogonal polynomials.
A note on some expansions of p-adic functions
Introduction. Recently J. Rutkowski (see [3]) has defined the p-adic analogue of the Walsh system, which we shall denote by . The system is defined in the space C(ℤₚ,ℂₚ) of ℂₚ-valued continuous functions on ℤₚ. J. Rutkowski has also considered some questions concerning expansions of functions from C(ℤₚ,ℂₚ) with respect to . This paper is a remark to Rutkowski’s paper. We define another system in C(ℤₚ,ℂₚ), investigate its properties and compare it to the system defined by Rutkowski. The system...
A set of orthogonal polynomials induced by a given orthogonal polynomial.
A survey of certain results on strong approximation by orthogonal series
This is a survey of results in a particular direction of the theory of strong approximation by orthogonal series, related mostly with author's contributions to the subject.
A survey on D-semiclassical orthogonal polynomials.
A unified approach to various orthogonalities
Alternative orthogonal polynomials and quadratures.