This article is cited in 1 scientific paper (total in 1 paper)
On a space of entire functions decreasing rapidly on a real line
M. I. Musin
Bashkir State University, Ufa, Russia
A space of entire functions decreasing rapidly on a real line is introduced. It contains the space of the Fourier–Laplace transforms of infinitely differentiable functions on a real line with a compact support as a proper subspace. The Fourier–Laplace transform of functions of this space is studied. Equivalent description in terms of estimates of derivatives of functions on a real line is obtained for the considered space.
the Fourier–Laplace transform, entire functions, Paley–Wiener type theorem.
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M. I. Musin, “On a space of entire functions decreasing rapidly on a real line”, Ufimsk. Mat. Zh., 4:1 (2012), 136–145
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\paper On a~space of entire functions decreasing rapidly on a~real line
\jour Ufimsk. Mat. Zh.
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This publication is cited in the following articles:
I. Kh. Musin, M. I. Musin, “On Fourier transformation of a class of entire functions”, Ufa Math. J., 6:4 (2014), 108–121
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