Article
Ufa Mathematical Journal
Volume 4, Number 1, pp. 128-136
On a space of entire functions fast decreasing on a real line
Musin M.I.
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A space of entire functions fast decreasing on real line is introduced. It contains as a proper subspace the space of the Fourier-Laplace transforms of infinitely differentiable functions on real line with compact support. The Fourier-Laplace transform of functions of this space is studied. For considered space equivalent description in terms of estimates of derivatives of functions on real line is obtained.