Results 261 to 270 of about 9,069,692 (293)
Some of the next articles are maybe not open access.
Multiple Fourier Series and Fourier Integrals
1992The basic objects of study in this article are functions of several variables which are periodic in each of these variables. We may assume (this assumption is not very restrictive) that the corresponding periods are the same and equal to 2π.
Sh. A. Alimov +2 more
openaire +1 more source
WEYL MULTIPLIERS FOR MULTIPLE FOURIER SERIES
Mathematics of the USSR-Sbornik, 1972In this paper Weyl multipliers for a multiple series in an arbitrary orthogonal system are found when the multiplier is known for the one-dimensional series. Bibliography: 7 items.
openaire +1 more source
$ u$-convergence of multiple Fourier series
Izvestiya: Mathematics, 1995Summary: The \(u\)-convergence of multiple Fourier series is studied, generalizing convergence in the Pringsheim sense, with respect to spheres. A definitive condition in terms of moduli of smoothness is found on a functional class that implies the \(u\)-convergence of Fourier series in the metrics \(L_p(T^m)\), where \(1\leq p\leq \infty\), \(p\neq 2\)
openaire +1 more source
Absolute convergence of multiple Fourier–Haar series
Georgian Mathematical Journal, 2014Abstract. The class of functions of s variables H α / s
Gogoladze, Larry +1 more
openaire +1 more source
On the Sets of Divergence of Multiple Fourier–Haar Series
Ukrainian Mathematical Journal, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
A classification procedure using the multiple Fourier series
Information Sciences, 1982A nonparametric procedure using the multiple Fourier series is presented and examined. Conditions for the weak and strong Bayes risk consistency are given, and the rates at which the probability of misclassification converges to the Bayes probability of error are presented. As opposed to their earlier paper, IEEE Trans. Syst. Man Cybern.
Wlodzimierz Greblicki, Miroslaw Pawlak
openaire +1 more source
On the Uniform Summability of Multiple Walsh-Fourier Series
Analysis Mathematica, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
On the coefficients of multiple Fourier series in $ L_p$-spaces
Izvestiya: Mathematics, 2000The author studies new function spaces and uses interpolation methods to obtain the analogues of the classical Hardy-Littlewood theorem and the Hardy-Littlewood-Paley inequalities for multiple orthogonal series, in particular, multiple trigonometric series. For example, he considers the space \(L^*_{pq}(\mathbb{R}^n)\) endowed with the norm \[ \|f\|:= \
openaire +1 more source
On multiple fourier series of piecewise smooth functions
Doklady Mathematics, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
On the Localization Property for Multiple Fourier Series
The Annals of Mathematics, 1948Bochner, Salomon, Chandrasekharan, K.
openaire +1 more source