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Marek Jarnicki

Institute of Mathematics Faculty of Mathematics and Computer Science Jagiellonian University

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Institute of Mathematics Faculty of Mathematics and Computer Science Jagiellonian University

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A counterexample to a theorem of Bremermann on Shilov boundaries - revisited

Marek Jarnicki

Universitatis Iagellonicae Acta Mathematica, Volume 53, 2016, pp. 21-25

https://doi.org/10.4467/20843828AM.16.003.5375

We continue to discuss the example presented in [4]. In particular, we clarify some gaps and complete the description of the Shilov boundary.

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A remark on Fejér and Mittag-Leffler theorems

Marek Jarnicki

Universitatis Iagellonicae Acta Mathematica, Volume 52, 2015, pp. 23-28

https://doi.org/10.4467/20843828AM.15.003.3729

We discuss some generalizations of the classical Fejer and Mittag-Leffler theorems to the case of several complex variables with applications to the Shilov and Bergman boundaries.

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Universal overconvergence and Ostrowski gaps for holomorphic functions of several variables

Marek Jarnicki

Universitatis Iagellonicae Acta Mathematica, Volume 53, 2016, pp. 27-38

https://doi.org/10.4467/20843828AM.16.004.5376

We study the universal overconvergence and its relations with Ostrowski gaps for holomorphic functions of several complex variables.

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