Cesàro means of trigonometric Fourier series.
Goginava, U. (2002)
Georgian Mathematical Journal
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Goginava, U. (2002)
Georgian Mathematical Journal
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Stanković, B. (2001)
Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques
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Almira, J.M. (2010)
Annals of Functional Analysis (AFA) [electronic only]
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Kamoun, Lotfi (2005)
Fractional Calculus and Applied Analysis
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2000 Mathematics Subject Classification: 42B10, 43A32. In this paper we take the strip KL = [0, +∞[×[−Lπ, Lπ], where L is a positive integer. We consider, for a nonnegative real number α, two partial differential operators D and Dα on ]0, +∞[×] − Lπ, Lπ[. We associate a generalized Fourier transform Fα to the operators D and Dα. For this transform Fα, we establish an Lp − Lq − version of the Morgan's theorem under the assumption 1 ≤ p, q ≤ +∞.
Etienne Matheron (1996)
Colloquium Mathematicae
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Konyagin, Sergei V. (2007)
Banach Journal of Mathematical Analysis [electronic only]
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Runovski, K., Schmeisser, H.-J. (2001)
Georgian Mathematical Journal
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Weisz, Ferenc (2004)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Panjikidze, L. (1998)
Georgian Mathematical Journal
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Jelassi, M., Rachdi, L. (2004)
Fractional Calculus and Applied Analysis
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We characterize the range of some spaces of functions by the Fourier transform associated with the spherical mean operator R and we give a new description of the Schwartz spaces. Next, we prove a Paley-Wiener and a Paley-Wiener-Schawrtz theorems.