Holomorphic functions with singularities on algebraic sets.

Sičiak, Józef

Displaying similar documents to “Holomorphic functions with singularities on algebraic sets.”

On the order of holomorphic and $c$ -holomorphic functions.

Denkowski, Maciej P. (2007)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

Similarity:

A note on Alexander's theorem.

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

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

Similarity:

Singular sets of separately analytic functions

Zbigniew Błocki (1992)

Annales Polonici Mathematici

Similarity:

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

T. Krasiński (1991)

Annales Polonici Mathematici

Similarity:

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.

Diagonal series of rational functions

Sławomir Cynk, Piotr Tworzewski (1991)

Annales Polonici Mathematici

Similarity:

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.

New examples of effective formulas for holomorphically contractible functions

Marek Jarnicki, Peter Pflug (1999)

Studia Mathematica

Similarity:

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.

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

Petrosyan, A.I. (2007)

Acta Mathematica Universitatis Comenianae. New Series

Similarity:

Resultant and the Łojasiewicz exponent

J. Chądzyński, T. Krasiński (1995)

Annales Polonici Mathematici

Similarity:

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.