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Rafał Pierzchała

Jagiellonian University

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Featured researches published by Rafał Pierzchała.

Journal of Approximation Theory | 2005

UPC condition in polynomially bounded o-minimal structures

Rafał Pierzchała

We prove that UPC condition holds in o-minimal structures generated by some quasi-analytic classes of C∞ functions. We also give a sufficient and necessary condition for a bounded set A ⊂ R2 definable in some polynomially bounded o-minimal structure to be UPC.

Journal de Mathématiques Pures et Appliquées | 2010

Siciak's extremal function of non-UPC cusps. I

Rafał Pierzchała

Potential Analysis | 2014

The Łojasiewicz–Siciak Condition of the Pluricomplex Green Function

Rafał Pierzchała

Journal of Mathematical Analysis and Applications | 2015

An estimate for the Siciak extremal function – Subanalytic geometry approach

Rafał Pierzchała

Annales Polonici Mathematici | 2008

On the Kuratowski convergence of analytic sets

Maciej P. Denkowski; Rafał Pierzchała

Studia Mathematica | 2012

On the Bernstein–Walsh–Siciak theorem

Rafał Pierzchała

Advances in Mathematics | 2015

Remez-type inequality on sets with cusps

Rafał Pierzchała

Mathematische Annalen | 2016

Markov's inequality and polynomial mappings

Rafał Pierzchała

Journal D Analyse Mathematique | 2016

Semialgebraic sets and the Łojasiewicz-Siciak condition

Rafał Pierzchała

Constructive Approximation | 2015

Approximation of Holomorphic Functions on Compact Subsets of \(\mathbb {R}^N\)

Rafał Pierzchała

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Maciej P. Denkowski

Jagiellonian University

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