Structural theorems for families of Fourier hyperfunctions.

Stanković, B.

Displaying similar documents to “Structural theorems for families of Fourier hyperfunctions.”

An Lp − Lq - Version of Morgan's Theorem Associated with Partial Differential Operators

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 ≤ +∞.

A simple observation about compactness and fast decay of Fourier coefficients.

Almira, J.M. (2010)

Annals of Functional Analysis (AFA) [electronic only]

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Determination of compact subsets from functionals on them.

Stepanov, V.N. (2005)

Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]

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On automorphisms of strongly regular graphs with $λ = 2$ and $λ = 3$ . II.

Kazarina, V.I. (2006)

Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]

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On nodal sets and nodal domains on $S^{2}$ and $ℝ^{2}$

Alexandre Eremenko, Dmitry Jakobson, Nikolai Nadirashvili (2007)

Annales de l’institut Fourier

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We discuss possible topological configurations of nodal sets, in particular the number of their components, for spherical harmonics on $S^{2}$ . We also construct a solution of the equation $Δ u = u$ in $ℝ^{2}$ that has only two nodal domains. This equation arises in the study of high energy eigenfunctions.