Interpolation on plane sets in C2

D. E. Papush; A. M. Russakovskii

Displaying similar documents to “Interpolation on plane sets in C2”

On the unit-1-stable rank of rings of analytic functions.

María Jesús Carro, Joan Cerdà (1992)

Publicacions Matemàtiques

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We identify the intermediate space of a complex interpolation family -in the sense of Coifman, Cwikel, Rochberg, Sagher and Weiss- of L spaces with change of measure, for the complex interpolation method associated to any analytic functional.

On approximation and interpolation of entire functions with index-pair (p,q).

H. S. Kasana, Devendra Kumar (1994)

Publicacions Matemàtiques

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In this paper we have studied the Chebyshev and interpolation errors for functions in C(E), the normed algebra of analytic functions on a compact set E of positive transfinite diameter. The (p,q)-order and generalized (p,q)-type have been characterized in terms of these approximation errors. Finally, we have obtained a saturation theorem for f ∈ C(E) which can be extended to an entire function of (p,q)-order 0 or 1 and for entire functions of minimal generalized (p,q)-type.

On small entire functions of exponential type with given zeros

Paul Malliavin, L.A. Rubel (1961)

Bulletin de la Société Mathématique de France

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Complex interpolation and $L^{p}$ spaces

M. Carro, J. Cerdà (1991)

Studia Mathematica

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Linear Goursat problems for entire functions when the coefficients are variable

Jan Persson (1969)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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A theorem concerning the means of an entire function an its derivatives.

J. P. Singh (1974)

Gaceta Matemática

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On proximate type of entire functions

R. S. L. Srivastava, O. P. Juneja (1967)

Compositio Mathematica

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The deficiency of entire functions with Fejér gaps

Takafumi Murai (1983)

Annales de l'institut Fourier

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We say that an entire function $f (z) = \sum_{k = 0} a_{k} z^{n_{k}} (0 = n_{0} < n_{1} < n_{2} < ...)$ has Fejér gaps if $\sum_{k = 1}^{\infty} 1 / n_{k} < \infty .$ The main result of this paper is as follows: An entire function with Fejér gaps has no finite deficient value.