### On analytic sets and functions with given isolated singularities.

Wojciech Kucharz (1986)

Journal für die reine und angewandte Mathematik

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Wojciech Kucharz (1986)

Journal für die reine und angewandte Mathematik

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T.-C. Kuo (1985)

Inventiones mathematicae

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Otto Liess (1988)

Mathematische Zeitschrift

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Marek Jarnicki, Peter Pflug (2011)

Colloquium Mathematicae

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We present a version of the identity principle for analytic sets, which shows that the extension theorem for separately holomorphic functions with analytic singularities follows from the case of pluripolar singularities.

Juhani Riihentaus (1978)

Mathematische Zeitschrift

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Toshizumi Fukui, Tzee-Char Kuo, Laurentiu Paunescu (2001)

Annales de l’institut Fourier

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In this paper we construct non-trivial examples of isomorphisms and we obtain, via toric modifications, an inverse function theorem in this category. We also show that any analytic curve in ${\mathbb{R}}^{n},n\ge 3$, can be deformed via a rational blow- analytic isomorphism of ${\mathbb{R}}^{n}$, to a smooth analytic arc.

Buchner, Klaus (1997)

General Mathematics

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Laurentiu Paunescu (2001)

Annales de l’institut Fourier

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In this paper we prove the implicit function theorem for , and as an interesting application of using blow-analytic homeomorphisms, we describe a very easy way to resolve singularities of analytic curves.

Chih-Tong Tang (1977)

Mathematische Annalen

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A. Zaharia (1991)

Mathematica Scandinavica

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M.L. Cartwright (1936)

Mathematische Annalen

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Radosław A. Kycia (2012)

Banach Center Publications

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In this paper we analyze movable singularities of the solutions of the equation for self-similar profiles resulting from semilinear wave equation. We study local analytic solutions around two fixed singularity points of this equation- ρ = 0 and ρ = 1. The movable singularities of local analytic solutions at the origin will be connected with those of the Lane-Emden equation. The function describing approximately their position on the complex plane will be derived. For ρ > 1 some topological...

John Wermer (1985)

Annales Polonici Mathematici

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Satoshi Koike (2004)

Banach Center Publications

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