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We are interested on families of formal power series in $(ℂ^{}, 0)$ parameterized by $ℂ^{n}$ ( $\hat{f} = \sum_{m = 0}^{\infty} P_{m} (x_{1}, \dots, x_{n}) x^{m}$ ). If every $P_{m}$ is a polynomial whose degree is bounded by a linear function ( $d e g P_{m} \leq A m + B$ for some $A > 0$ and $B \geq 0$ ) then the family is either convergent or the series $\hat{f} (c_{1}, \dots, c_{n}, x) \notin ℂ {x}$ for all $(c_{1}, \dots, c_{n}) \in ℂ^{n}$ except a pluri-polar set. Generalizations of these results are provided for formal objects associated to germs of diffeomorphism (formal power series, formal meromorphic functions, etc.). We are interested on describing the nature of the set of parameters where...

Hp-Spaces of Harmonic Functions and the Wiener Compactification.

Joel L. Schiff (1973)

Mathematische Zeitschrift

Inequalities associating hypergeometric functions with planar harmonic mappings.

Ahuja, Om P., Silverman, H. (2004)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Inextremization and Boundedness on Open Riemann Surfaces.

Mitsuru Nakai, Moses Glasner (1979)

Mathematische Zeitschrift

Integral averages of multiple Poisson kernels.

Bulut, Serap (2009)

Acta Universitatis Apulensis. Mathematics - Informatics

Integral averages of two generalizations of the Poisson kernel by Haruki and Rassias.

Bulut, Serap (2008)

Journal of Applied Mathematics and Stochastic Analysis

Integral representation for a class of multiply superharmonic functions

Kohur Gowrisankaran (1973)

Annales de l'institut Fourier

Let $Ω_{1}, ..., Ω_{n}$ be harmonic spaces of Brelot with countable base of completely determining domains. The elements of a subcone $C$ of the cone of positive $n$ -superharmonic functions in $Ω_{1} \times ... \times Ω_{n}$ is shown to have an integral representation with the aid of Radon measures on the extreme elements belonging to a compact base of $C$ . The extreme elements are shown to be the product of extreme superharmonic functions on the component spaces and the measure representing each element is shown to be unique. Necessary and sufficient...

Integrals of the Cauchy type

Josef Král, Jaroslav Lukeš (1972)

Czechoslovak Mathematical Journal

Internal and external one-sided homogeneous boundary value problems of conjugation for bicircular domains of the space $ℂ^{2}$ .

Dzebisov, Kh.P. (2000)

Vladikavkazskiĭ Matematicheskiĭ Zhurnal

Internal finite element approximation in the dual variational method for the biharmonic problem

Ivan Hlaváček, Michal Křížek (1985)

Aplikace matematiky

A conformal finite element method is investigated for a dual variational formulation of the biharmonic problem with mixed boundary conditions on domains with piecewise smooth curved boundary. Thus in the problem of elastic plate the bending moments are calculated directly. For the construction of finite elements a vector potential is used together with $C^{0}$ -elements. The convergence of the method is proved and an algorithm described.

Interpolation entre espaces d'Orlicz

Paul-André Meyer (1982)

Séminaire de probabilités de Strasbourg

Invariance of the Fredholm radius of an operator in potential theory

Miroslav Dont, Eva Dontová (1987)

Časopis pro pěstování matematiky

Invariant subspaces on open Riemann surfaces. II

Morisuke Hasumi (1976)

Annales de l'institut Fourier

We considerably improve our earlier results [Ann. Inst. Fourier, 24-4 (1974] concerning Cauchy-Read’s theorems, convergence of Green lines, and the structure of invariant subspaces for a class of hyperbolic Riemann surfaces.

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Displaying 161 – 180 of 493

Harmonic measure of some Cantor type sets.

Harmonic univalent functions defined by an integral operator.

Hausdorff dimension of harmonic measure on the boundary of an attractive basin for a holomorphic map.

Hermite and convexity.

Holomorphic extensions of formal objects