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

^*Corresponding author for this work

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.",

author = "S. Alesker and S. Artstein-Avidan and D. Faifman and V. Milman",

year = "2010",

doi = "10.1215/ijm/1336049986",

language = "אנגלית",

volume = "54",

pages = "1115--1132",

journal = "Illinois Journal of Mathematics",

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publisher = "University of Illinois at Urbana-Champaign",

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AU - Faifman, D.

AU - Milman, V.

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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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U2 - 10.1215/ijm/1336049986

DO - 10.1215/ijm/1336049986

M3 - מאמר

AN - SCOPUS:84861765744

VL - 54

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EP - 1132

JO - Illinois Journal of Mathematics

JF - Illinois Journal of Mathematics

SN - 0019-2082

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ER -

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

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