Uniform approximation by polynomials on real non-degenerate Weil polyhedron.

Petrosyan, A.I.

Displaying similar documents to “Uniform approximation by polynomials on real non-degenerate Weil polyhedron.”

Holomorphic functions with singularities on algebraic sets.

Sičiak, Józef (2001)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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Factorization of uniformly holomorphic functions

Luiza A. Moraes, Otilia W. Paques, M. Carmelina F. Zaine (1995)

Annales Polonici Mathematici

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Let E be a complex Hausdorff locally convex space such that the strong dual E’ of E is sequentially complete, let F be a closed linear subspace of E and let U be a uniformly open subset of E. We denote by Π: E → E/F the canonical quotient mapping. In §1 we study the factorization of uniformly holomorphic functions through π. In §2 we study F-quotients of uniform type and introduce the concept of envelope of uF-holomorphy of a connected uniformly open subset U of E. The main result states...

On branches at infinity of a pencil of polynomials in two complex variables

T. Krasiński (1991)

Annales Polonici Mathematici

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Let F ∈ ℂ[x,y]. Some theorems on the dependence of branches at infinity of the pencil of polynomials f(x,y) - λ, λ ∈ ℂ, on the parameter λ are given.

A note on Alexander's theorem.

Le Mau Hai, Nguyen Van Khue, Sičiak, Józef (2005)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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New examples of effective formulas for holomorphically contractible functions

Marek Jarnicki, Peter Pflug (1999)

Studia Mathematica

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Let $G \subset ℂ^{n}$ and $B \subset ℂ^{m}$ be domains and let Φ:G → B be a surjective holomorphic mapping. We characterize some cases in which invariant functions and pseudometrics on G can be effectively expressed in terms of the corresponding functions and pseudometrics on B.

Diagonal series of rational functions

Sławomir Cynk, Piotr Tworzewski (1991)

Annales Polonici Mathematici

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Some representations of Nash functions on continua in ℂ as integrals of rational functions of two complex variables are presented. As a simple consequence we get close relations between Nash functions and diagonal series of rational functions.

Linear isometries of finite codimensions on Banach algebras of holomorphic functions.

Hatori, Osamu, Kasuga, Kazuhiro (2009)

Banach Journal of Mathematical Analysis [electronic only]

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On Lempert functions in $ℂ^{2}$ .

Jarnicki, Witold (2001)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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Bernstein quasianalytic functions on algebraic sets.

Skiba, Alicja (2003)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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Singular sets of separately analytic functions

Zbigniew Błocki (1992)

Annales Polonici Mathematici

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We complete the characterization of singular sets of separately analytic functions. In the case of functions of two variables this was earlier done by J. Saint Raymond and J. Siciak.

On a differential inequality II.

Oros, Georgia Irina (2002)

General Mathematics

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Resultant and the Łojasiewicz exponent

J. Chądzyński, T. Krasiński (1995)

Annales Polonici Mathematici

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An effective formula for the Łojasiewicz exponent of a polynomial mapping of ℂ² into ℂ² at an isolated zero in terms of the resultant of its components is given.

Estimates for the integral means of holomorphic functions on bounded domains in $ℂ^{n}$

Zhangjian Hu (1996)

Colloquium Mathematicae

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Omnipresent holomorphic operators and maximal cluster sets

Luis González (1992)

Colloquium Mathematicae

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Equiconvergence theorems for Laguerre series

Georgi Karadzhov (1992)

Banach Center Publications

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The Szegö equiconvergence theorem for the Laguerre series is improved. In particular, a system of exact sufficient conditions is given.