On almost everywhere convergence

C. Meaney; E. Prestini

doi:10.1007/BF01404008

On almost everywhere convergence

C. Meaney^*, E. Prestini

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

Suppose that f is an element of L²(Rⁿ) whose orbit under the action of SO(n) spans a finite-dimensional subspace. Then the spherical partial sums of the inverse Fourier transform of f converge almost everywhere.

Original language	English
Pages (from-to)	143-146
Number of pages	4
Journal	Monatshefte für Mathematik
Volume	116
Issue number	2
DOIs	https://doi.org/10.1007/BF01404008
Publication status	Published - Jun 1993

Keywords

1991 Mathematics Subject Classification: 42B08, Secondary 42B25

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title = "On almost everywhere convergence",

abstract = "Suppose that f is an element of L2(Rn) whose orbit under the action of SO(n) spans a finite-dimensional subspace. Then the spherical partial sums of the inverse Fourier transform of f converge almost everywhere.",

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AB - Suppose that f is an element of L2(Rn) whose orbit under the action of SO(n) spans a finite-dimensional subspace. Then the spherical partial sums of the inverse Fourier transform of f converge almost everywhere.

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JO - Monatshefte für Mathematik

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On almost everywhere convergence

Abstract

Keywords

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