On a space of entire functions rapidly decreasing on Rn and its Fourier transform
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AbstractA space of entire functions of several complex variables rapidly decreasing on Rn and such that their growth along iRn is majorized with the help of a family of weight functions is considered in this paper. For such space an equivalent description in terms of estimates on all of its partial derivatives as functions on Rn and a Paley-Wiener type theorem are obtained.
1980 ◽
Vol 3
(2)
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pp. 199-235
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2010 ◽
Vol 2010
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pp. 1-15
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1970 ◽
Vol 29
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pp. 63-70