Interpolation in the space of entire functions of given growth and its asymptotics (Q1363997)

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scientific article; zbMATH DE number 1050701
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Interpolation in the space of entire functions of given growth and its asymptotics
scientific article; zbMATH DE number 1050701

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    Interpolation in the space of entire functions of given growth and its asymptotics (English)
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    20 August 1997
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    For entire functions of one complex variable the interpolation problem is investigated for various classes. The situation for several variables is much worse. The author gives a natural statement and sufficient conditions for solvability of the multiple interpolation problem in a special class of entire functions of \(n\) complex variables defined by a sequence of plurisubharmonic functions. There is an application to a homogeneous convolution equation.
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    multiple interpolation problem
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    entire functions
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    homogeneous convolution equation
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