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.
Variants of the Calderón-Zygmund theory for Lp-spaces.
The purposes of this paper may be described as follows:(i) to provide a useful substitute for the Cotlar-Stein lemma for Lp-spaces (the orthogonality conditions are replaced by certain fairly weak smoothness asumptions);(ii) to investigate the gap between the Hörmander multiplier theorem and the Littman-McCarthy-Rivière example - just how little regularity is really needed?(iii) to simplify and extend the work of Duoandikoetxea and Rubio de Francia and Christ and Stein, which sometimes has unnecessarily...
Vereinfachung der Beweise in der Theorie der Fourier'schen Reihe
λ-Regular Oscillation And Applications
Асимптотика коэффициентов в теоремах Леви-Винера об абсолютно сходящихся тригонометрических рядах.
Замечание о всюду расходящихся тригонометрических рядах
Замечания к статье Б.А. Рогозина "Асимптотика коэффициентов в теоремах Леви-Винера об абсолютно сходящихся тригонометрических рядах"
Индивидуальные теоремы типа Винера-Леви для рядов и интегралов Фурье
Квазианалитичность суммы лакунарного ряда
Локализация теорем равносходимости
О всюду расходящихся тригонометрических рядах Фурье с быстро убывающими коэффициентами
О лакунарных рядах по мультипликативным системам функций. I