TY - JOUR
T1 - A characterization of the Fourier transform and related topics
AU - Alesker, Semyon
AU - Artstein-Avidan, Shiri
AU - Milman, Vitali
N1 - Funding Information:
✩ The research was supported in part by Israel Science Foundation: first named author by grant No. 1369/04, second named author by grant No.
Funding Information:
865/07, third named author by grant No. 491/04. The second and third names authors were supported in part by BSF grant No. 2006079. E-mail address: [email protected] (S. Alesker).
PY - 2008/6
Y1 - 2008/6
N2 - It is shown that the Fourier transform is essentially, up to a simple adjustment, the only transform on the corresponding space which maps convolutions to products and products to convolutions (surprisingly, no linearity is assumed a priori). To cite this article: S. Alesker et al., C. R. Acad. Sci. Paris, Ser. I 346 (2008).
AB - It is shown that the Fourier transform is essentially, up to a simple adjustment, the only transform on the corresponding space which maps convolutions to products and products to convolutions (surprisingly, no linearity is assumed a priori). To cite this article: S. Alesker et al., C. R. Acad. Sci. Paris, Ser. I 346 (2008).
UR - http://www.scopus.com/inward/record.url?scp=44449152504&partnerID=8YFLogxK
U2 - 10.1016/j.crma.2008.04.001
DO - 10.1016/j.crma.2008.04.001
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AN - SCOPUS:44449152504
SN - 1631-073X
VL - 346
SP - 625
EP - 628
JO - Comptes Rendus Mathematique
JF - Comptes Rendus Mathematique
IS - 11-12
ER -