The interpolation theorem for holomorphic generalized functions
J. Aragona, J. F. Colombeau (1988)
Annales Polonici Mathematici
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The interpolation theorem for holomorphic generalized functions
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We define a function μ from the set of sequences in the unit ball to R* by taking the greatest lower bound of the reciprocal of the interpolating constant of the sequences of the disk which get mapped to the given sequence by a holomorphic mapping from the disk to the ball. Its properties are studied in the spirit of the work of Amar and Thomas.