On a Fr\'echet space of entire functions rapidly decreasing on the real line
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🧮 math.CV
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functionsspacelinerealconsidereddecreasingentirerapidly
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A weighted space of entire functions rapidly decreasing on the real line is considered in the paper. A growth of these functions along the imaginary axis is controlled by some system of weight functions. The Fourier transform of functions of this space is studied. Equivalent description of the considered space in terms of estimates on derivatives of functions on real line is obtained.
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