We construct some orthogonal systems related to the Blaschke functions and to the Walsh-Paley system or to the characters of the 2-adic fi eld. Fourier-series with respect to these functions are examined. The methods of the product systems of UDMD systems are used. Néhány ortogonális rendszert konstruálnk a Blaschke függvények és a diadikus illetve a 2-adikus additív karakterek segítségével. Ezen függvény-rendszerekre vonatkozó Fourier sorok vizsgálatához a szorzatrendszerek és UDMD rendszerek módszereit használjuk.N
This book presents a systematic course on general orthogonal polynomials and Fourier series in ortho...
This paper gives an introduction to the theory of orthogonal projection of functions or signals. Sev...
The purpose of this paper is to reconstruct the Rademacher and Walsh systems and to generalize them ...
Anfänglich erfolgt eine Einführung in die Theorie orthogonaler Polynomsysteme mit kompakte...
Two functions are orthogonal with respect to a weighted inner product if the integral of the product...
Consider the sequence of poles A = {α_1,α_2, . . .}, and suppose the rational functions φ_j with pol...
Two functions are orthogonal with respect to a weighted inner product if the integral of the product...
In this paper we study special systems of orthogonal polynomials on the unit circle. More precisely,...
AbstractLet {ϕn}n=0∞ be a sequence of functions satisfying a second-order differential equation of t...
The investigation is concerned with series of Fourier coefficients from elements of spaces of functi...
The functional series, and especially the Fourier series, are an important mathematical apparatus ex...
AbstractIf {un} is the orthonormal sequence of eigenfunctions arising from a nonsingular (or sometim...
Consider the sequence of poles A = {α_1,α_2, . . .}, and suppose the rational functions φ_j with pol...
AbstractIn this paper we introduce the so-called second kind trigonometric system, which is a useful...
Some systems of univariate orthogonal polynomials can be mapped into other families by the Fourier t...
This book presents a systematic course on general orthogonal polynomials and Fourier series in ortho...
This paper gives an introduction to the theory of orthogonal projection of functions or signals. Sev...
The purpose of this paper is to reconstruct the Rademacher and Walsh systems and to generalize them ...
Anfänglich erfolgt eine Einführung in die Theorie orthogonaler Polynomsysteme mit kompakte...
Two functions are orthogonal with respect to a weighted inner product if the integral of the product...
Consider the sequence of poles A = {α_1,α_2, . . .}, and suppose the rational functions φ_j with pol...
Two functions are orthogonal with respect to a weighted inner product if the integral of the product...
In this paper we study special systems of orthogonal polynomials on the unit circle. More precisely,...
AbstractLet {ϕn}n=0∞ be a sequence of functions satisfying a second-order differential equation of t...
The investigation is concerned with series of Fourier coefficients from elements of spaces of functi...
The functional series, and especially the Fourier series, are an important mathematical apparatus ex...
AbstractIf {un} is the orthonormal sequence of eigenfunctions arising from a nonsingular (or sometim...
Consider the sequence of poles A = {α_1,α_2, . . .}, and suppose the rational functions φ_j with pol...
AbstractIn this paper we introduce the so-called second kind trigonometric system, which is a useful...
Some systems of univariate orthogonal polynomials can be mapped into other families by the Fourier t...
This book presents a systematic course on general orthogonal polynomials and Fourier series in ortho...
This paper gives an introduction to the theory of orthogonal projection of functions or signals. Sev...
The purpose of this paper is to reconstruct the Rademacher and Walsh systems and to generalize them ...