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

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)1115-1132
Number of pages18
JournalIllinois Journal of Mathematics
Volume54
Issue number3
DOIs
StatePublished - 2010

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