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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
Abstract:
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.
Keywords:
the Fourier–Laplace transform, entire functions, Paley–Wiener type theorem.
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UDC:
517.982.3 Received: 02.09.2011
Citation:
M. I. Musin, “On a space of entire functions decreasing rapidly on a real line”, Ufimsk. Mat. Zh., 4:1 (2012), 136–145
Citation in format AMSBIB
\Bibitem{Mus12}
\by M.~I.~Musin
\paper On a~space of entire functions decreasing rapidly on a~real line
\jour Ufimsk. Mat. Zh.
\yr 2012
\vol 4
\issue 1
\pages 136--145
\mathnet{http://mi.mathnet.ru/ufa139}
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http://mi.mathnet.ru/eng/ufa139 http://mi.mathnet.ru/eng/ufa/v4/i1/p136
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This publication is cited in the following articles:
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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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