A characterization of product preserving maps with applications to a characterization of the Fourier transform

S. Alesker; S. Artstein-Avidan; D. Faifman; V. Milman

doi:10.1215/ijm/1336049986

A characterization of product preserving maps with applications to a characterization of the Fourier transform

S. Alesker, S. Artstein-Avidan, D. Faifman, V. Milman

School of Mathematical Sciences

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

Abstract

It is shown that a product preserving bijective (not necessarily real linear or continuous) operator on an appropriate class of complex valued functions must have either the form [φ → φ0u] or where u is a fixed diffeomorphism of the base.

Original language	English
Pages (from-to)	1115-1132
Number of pages	18
Journal	Illinois Journal of Mathematics
Volume	54
Issue number	3
DOIs	https://doi.org/10.1215/ijm/1336049986
State	Published - 2010

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title = "A characterization of product preserving maps with applications to a characterization of the Fourier transform",

abstract = "It is shown that a product preserving bijective (not necessarily real linear or continuous) operator on an appropriate class of complex valued functions must have either the form [φ → φ0u] or where u is a fixed diffeomorphism of the base.",

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A characterization of product preserving maps with applications to a characterization of the Fourier transform

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