Almost-everywhere convergence of Fourier integrals for functions in Sobolev spaces, and an L-localisation principle.
Anthony Carbery, Fernando Soria (1988)
Revista Matemática Iberoamericana
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Displaying similar documents to “Decay of Fourier transforms and summability of eigenfunction expansions”
Almost-everywhere convergence of Fourier integrals for functions in Sobolev spaces, and an L-localisation principle.
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Sigrid Sjöstrand (1970)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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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...
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Annales de la Faculté des sciences de Toulouse : Mathématiques
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Criteria for absolute and strong convergence of Fourier series
Muharem Avdispahić (1987)
Czechoslovak Mathematical Journal
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