Geodesic
Tempered Distributions Supported on a Half-Space of RN and Their Fourier Transforms
Canadian journal of mathematics, Tome 43 (1991) no. 1, pp. 61-88

Voir la notice de l'article provenant de la source Cambridge University Press

A fundamental problem in Fourier analysis is to characterize the behaviour of a function (or distribution) whose Fourier transform vanishes in some particular set. Of course, this is, in general, a very difficult question and little seems to be known, except in some special cases. For example, a theorem of Paley-Wiener (Theorem XII in [6]) characterizes exactly the behaviour of the modulus of a function in L2(R) whose Fourier transform vanishes on a half-line.
DOI : 10.4153/CJM-1991-005-6
Mots-clés : 42B10, 46F10 
Gabardo, Jean-Pierre. Tempered Distributions Supported on a Half-Space of RN and Their Fourier Transforms. Canadian journal of mathematics, Tome 43 (1991) no. 1, pp. 61-88. doi: 10.4153/CJM-1991-005-6
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