Ueber Cauchy's zweiten Beweis für die Convergenz der Fourier'schen Reihen und eine damit verwandte ältere Methode von Poisson
Ueber das Verhalten der Fourier'schen Reihe an Sprungstellen
Ueber die Integration der trigonometrischen Reihe
Ueber die Multiplication trigonometrischer Reihen
Ueber die trigonometrische Reihe und die Darstellung willkürlicher Functionen
Ueber einen die trigonometrischen Reihen betreffenden Lehrsatz.
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
Uniqueness, strong forms of uniqueness and negative powers of contractions
Utilisation des produits de Riesz pour minorer la dimension de Hausdorff de certains ensembles.