Geodesic
Between the Paley-Wiener theorem and the Bochner tube theorem
Annales Polonici Mathematici, Tome 60 (1994) no. 3, pp. 299-304.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We present the classical Paley-Wiener-Schwartz theorem [1] on the Laplace transform of a compactly supported distribution in a new framework which arises naturally in the study of the Mellin transformation. In particular, sufficient conditions for a function to be the Mellin (Laplace) transform of a compactly supported distribution are given in the form resembling the Bochner tube theorem [2].
DOI : 10.4064/ap-60-3-299-304
Keywords: Mellin distributions, Bochner tube theorem

Zofia Szmydt 1 ; Bogdan Ziemian 1

1 
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Zofia Szmydt; Bogdan Ziemian. Between the Paley-Wiener theorem and the Bochner tube theorem. Annales Polonici Mathematici, Tome 60 (1994) no. 3, pp. 299-304. doi : 10.4064/ap-60-3-299-304. http://geodesic.mathdoc.fr/articles/10.4064/ap-60-3-299-304/

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