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Entire functions of exponential type bounded on the real axis and Fourier transforms of distributions with bounded supports. Proc. internat. Sympos. partial diff. Equ. Geometry normed lin. Spaces II. (English) Zbl 0253.46097


MSC:

46F10 Operations with distributions and generalized functions
46F05 Topological linear spaces of test functions, distributions and ultradistributions
46F15 Hyperfunctions, analytic functionals
42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
Full Text: DOI

References:

[1] Gupta, C. P., On the Malgrange theorem for nuclearly entire functions of bounded type on a Banach space, Indag. Math., 32, 356-358 (1970) · Zbl 0201.44605
[2] L. Nachbin,Lectures on the theory of distributions, University of Rochester (1963). Reproduced by Universidade do Recife, Textos de Matemática no. 15 (1964), 1-280.
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