Title

A characterization theorem for the Fourier transform on ℝn

Abstract

In this paper we develop a characterization of the Fourier transform as a continuous operator from L2(Rn) to L2(Rn) behaving like the Fourier transform under rotations, dilation, and translations. This gives a new approach to a result of A. Hertle [6] based on the Hecke-Bochner identities.

Document Type

Article

DOI

https://doi.org/10.1016/0022-247X(88)90014-5

Publication Date

8-15-1988

Journal Title

Journal of Mathematical Analysis and Applications

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