Reproducing kernels and multiple interpolation by holomorphic functions
D. R. Georgijević (1986)
Matematički Vesnik
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Displaying similar documents to “The interpolation theorem for holomorphic generalized functions”
Reproducing kernels and multiple interpolation by holomorphic functions
Boundary Interpolation by Proper Holomorphic Maps.
Josip Globevnik (1987)
Mathematische Zeitschrift
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On Bounded Holomorphic Interpolation in Several Variables.
F.H. Szafraniec (1986)
Monatshefte für Mathematik
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Interpolation by Holomorphic Functions Smooth to the Boundary in the Unit Ball of Cn.
Joaquim Bruna, Joaquin Ma. Ortega (1986)
Mathematische Annalen
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On pluriharmonic interpolation.
Edgar Lee Stout, Jean-Pierre Rosay (1988)
Mathematica Scandinavica
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Disks extremal with respect to interpolation constants.
Nguyen Van Trao (2000)
Publicacions Matemàtiques
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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.
Boundary Interpolation and Proper Holomorphic Maps from the Disc to the Ball.
Josip Globevnik (1988)
Mathematische Zeitschrift
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A Formula for Interpolation and Division in Cn.
Bo Berndtsson (1983)
Mathematische Annalen
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Polynomials and holomorphic functions on interpolation spaces
Heinz Junek (1989)
Acta Universitatis Carolinae. Mathematica et Physica
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Intermediate holomorphy
M. Nikić (1988)
Matematički Vesnik
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Weak conditions for interpolation in holomorphic spaces.
Alexander P Schuster, Kristian Seip (2000)
Publicacions Matemàtiques
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An analogue of the notion of uniformly separated sequences, expressed in terms of extremal functions, yields a necessary and sufficient condition for interpolation in L spaces of holomorphic functions of Paley-Wiener-type when 0 < p ≤ 1, of Fock-type when 0 < p ≤ 2, and of Bergman-type when 0 < p < ∞. Moreover, if a uniformly discrete sequence has a certain uniform non-uniqueness property with respect to any such L space (0 < p < ∞), then it...