Displaying similar documents to “Resultant and the Łojasiewicz exponent”

New examples of effective formulas for holomorphically contractible functions

Marek Jarnicki, Peter Pflug (1999)

Studia Mathematica


Let G n and B 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.

On generalized differential equations in Banach spaces

Tadeusz Poreda


CONTENTSIntroduction . . . . . . . . 5I. Fundamental problems for generalized differential equations at nonsingular points§1. Introduction . . . . . . . . 6§2. Cauchy problem at nonsingular points for generalized differential equations of the first order . . . . . . . . 6§3. Dependence of solution on parameters and initial conditions . . . . . . . . 8II. Total solutions of generalized linear differential equations§1. Introduction . . . . . . . . 11§2. Form of solutions of generalized...

The growth of regular functions on algebraic sets

A. Strzeboński (1991)

Annales Polonici Mathematici


We are concerned with the set of all growth exponents of regular functions on an algebraic subset V of n . We show that its elements form an increasing sequence of rational numbers and we study the dependence of its structure on the geometric properties of V.

On Lempert functions in 2 .

Jarnicki, Witold (2001)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica