Ueber die trigonometrische Reihe und die Darstellung willkürlicher Functionen
Ueber eine gewisse Erweiterung des Cantor'schen Satzes
Ueber einen die trigonometrischen Reihen betreffenden Lehrsatz.
Ueber trigonometrische Reihen
Un altro modo di costruire la serie di Fourier delle distribuzioni di una variabile quasi periodiche
Une classe d'ensembles d'unicité des séries trigonométriques
Une Formule Approximative de Dimension pour Certain Produits de Riesz.
Une nouvelle propriété des suites de Rudin-Shapiro
Les suites de Rudin-Shapiro ont des propriétés extrémales en analyse harmonique. En remarquant qu’une telle suite est reconnaissable par un automate fini, nous en décrivons explicitement le spectre (type spectral maximal, multiplicité spectrale fonction multiplicité). Nous établissons par exemple, que la suite de Rudin-Shapiro généralisée à l’ordre contient dans son spectre une composante de Lebesgue, de multiplicité .
Unendliche Produkte unkorrelierter Funktionen auf kompakten, Abelschen Gruppen.
Uniform convergence of double trigonometric series
It is shown that under certain conditions on , the rectangular partial sums converge uniformly on . These conditions include conditions of bounded variation of order (1,0), (0,1), and (1,1) with the weights |j|, |k|, |jk|, respectively. The convergence rate is also established. Corresponding to the mentioned conditions, an analogous condition for single trigonometric series is (as n → ∞). For O-regularly varying quasimonotone sequences, we prove that it is equivalent to the condition: as...
Uniform convergence of double trigonometric series
It is a classical problem in Fourier analysis to give conditions for a single sine or cosine series to be uniformly convergent. Several authors gave conditions for this problem supposing that the coefficients are monotone, non-negative or more recently, general monotone. There are also results for the regular convergence of double sine series to be uniform in case the coefficients are monotone or general monotone double sequences. In this paper we give new sufficient conditions for the uniformity...
Uniform convergence of lacunary Fourier series
Uniform Convergence of Spherical Harmonie Expansions.
Uniform estimates of a trigonometric integral
Uniform limit power-type function spaces.
Uniformizable Λ(2) sets and uniform integrability
Unions of arcs from Fourier partial sums.
Unique Disintegration of Arbitraty Positive Definite Functions on *-divisible Semigroups.
Uniqueness, strong forms of uniqueness and negative powers of contractions
Universal series by trigonometric system in weighted spaces.