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On a space of entire functions rapidly decreasing on Rn and its Fourier transform

On a space of entire functions rapidly decreasing on Rn and its Fourier transform

Abstract A 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 …