On A Mercerian Theorem And It's Application To The Equiconvergence Of Cesàro And Riesz Transforms
Shimshon Zimering (1961)
Publications de l'Institut Mathématique
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Shimshon Zimering (1961)
Publications de l'Institut Mathématique
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Vojislav G. Avakumović (1955)
Publications de l'Institut Mathématique
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N. C. Jain (1970)
Annales Polonici Mathematici
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Walid Nefzi (2019)
Czechoslovak Mathematical Journal
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The aim of this paper is to extend the study of Riesz transforms associated to Dunkl Ornstein-Uhlenbeck operator considered by A. Nowak, L. Roncal and K. Stempak to higher order.
Virchenko, Nina (2012)
Mathematica Balkanica New Series
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MSC 2010: 44A15, 44A20, 33C60 Using the generalized confluent hypergeometric function [6] some new integral transforms are introduced. They are generalizations of some classical integral transforms, such as the Laplace, Stieltjes, Widder-potential, Glasser etc. integral transforms. The basic properties of these generalized integral transforms and their inversion formulas are obtained. Some examples are also given.
Louis Pigno, Sadahiro Saeki (1990)
Colloquium Mathematicae
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S. Hartman (1975)
Colloquium Mathematicae
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J. Szarski (1964)
Annales Polonici Mathematici
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Colin C. Graham (1976)
Colloquium Mathematicae
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Louis Pigno (1981)
Colloquium Mathematicae
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B. S. Tavathia (1967)
Matematički Vesnik
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Bellman, Richard (1978)
International Journal of Mathematics and Mathematical Sciences
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R. Bhuvaneswari, V. Karunakaran (2010)
Annales UMCS, Mathematica
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Function spaces of type S are introduced and investigated in the literature. They are also applied to study the Cauchy problem. In this paper we shall extend the concept of these spaces to the context of Boehmian spaces and study the Fourier transform theory on these spaces. These spaces enable us to combine the theory of Fourier transform on these function spaces as well as their dual spaces.
R. Bhuvaneswari, V. Karunakaran (2010)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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Function spaces of type S are introduced and investigated in the literature. They are also applied to study the Cauchy problem. In this paper we shall extend the concept of these spaces to the context of Boehmian spaces and study the Fourier transform theory on these spaces. These spaces enable us to combine the theory of Fourier transform on these function spaces as well as their dual spaces.
Maria Roginskaya, Michaël Wojciechowski (2004)
Annales de l’institut Fourier
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We study different conditions on the set of roots of the Fourier transform of a measure on the Euclidean space, which yield that the measure is absolutely continuous with respect to the Lebesgue measure. We construct a monotone sequence in the real line with this property. We construct a closed subset of which contains a lot of lines of some fixed direction, with the property that every measure with spectrum contained in this set is absolutely continuous. We also give examples of sets...