Polyhedral summability of multiple Fourier series (and explicit formulas for Dirichlet kernels on $^n$ and on compact Lie groups)

Giancarlo Travaglini

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Nagy, Károly (2004)

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Goginava, U. (2002)

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Weisz, Ferenc (2004)

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Gát, György (2001)

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Stanković, B. (2001)

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Dagmar Medková (2008)

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Javad Namazi (1993)

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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 ≤ +∞.

On convergence of greedy approximations for the trigonometric system.

Konyagin, Sergei V. (2007)

Banach Journal of Mathematical Analysis [electronic only]

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Displaying similar documents to “Polyhedral summability of multiple Fourier series (and explicit formulas for Dirichlet kernels on n and on compact Lie groups)”

Displaying similar documents to “Polyhedral summability of multiple Fourier series (and explicit formulas for Dirichlet kernels on $^{n}$ and on compact Lie groups)”