EuDML | Browse

Items

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Page 1 Next

Displaying 1 – 20 of 208

A characterization of linear automorphisms of the Euclidean ball

Hidetaka Hamada, Tatsuhiro Honda (1999)

Annales Polonici Mathematici

Let B be the open unit ball for a norm on $ℂ^{n}$ . Let f:B → B be a holomorphic map with f(0) = 0. We consider a condition implying that f is linear on $ℂ^{n}$ . Moreover, in the case of the Euclidean ball , we show that f is a linear automorphism of under this condition.

A correction to and a remark on our paper "Remarks on the proof of a generalized Hartogs Lemma" (Ann. Polon. Math. 70 (1998), 43-47)

Evgeni Chirka, Jean-Pierre Rosay (2004)

Annales Polonici Mathematici

A general description of the Bergman projection

Maciej Skwarczyński (1985)

Annales Polonici Mathematici

A generalization of the Malgrange-Zerner theorem

Ludwik M. Drużkowski (1980)

Annales Polonici Mathematici

A lemma on mixed derivatives with applications to edge-of-the-wedge, Radon transformation and a theorem of Forelli

J. Wiegerinck, J. Korevaar (1985)

Matematički Vesnik

A method of holomorphic retractions and pseudoinverse matrices in the theory of continuation of δ-tempered functions [Book]

Marek Jarnicki (1987)

A note on Alexander's theorem.

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

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

A notion of extremal analytic discs related to interpolation in the ball.

Eric Amar, Pascal J. Thomas (1994)

Mathematische Annalen

A property of determining sets for analytic functions

Jan Chmielowski, Grzegorz Łubczonok (1977)

Studia Mathematica

A Pseudo-convex Domain not Admitting a Holomorphic Support Function.

J.J. Kohn, L. Nirenberg (1973)

Mathematische Annalen

A ring of analytic functions, II

R. Brooks (1971)

Studia Mathematica

A Schwarz lemma on complex ellipsoids

Hidetaka Hamada (1997)

Annales Polonici Mathematici

We give a Schwarz lemma on complex ellipsoids.

A survey on geometric properties of holomorphic self-maps in some domains of ℂⁿ

Chiara Frosini, Fabio Vlacci (2007)

Annales Polonici Mathematici

In this survey we give geometric interpretations of some standard results on boundary behaviour of holomorphic self-maps in the unit disc of ℂ and generalize them to holomorphic self-maps of some particular domains of ℂⁿ.

A Tate-theoretic view of Krasner's non-archimedean function theory.

Peter Ullrich, Reinhard Karlowski (1991)

Mathematische Annalen

A uniqueness theorem of Cartan-Gutzmer type for holomorphic mappings in ℂⁿ

Piotr Liczberski, Jerzy Połubiński (2002)

Annales Polonici Mathematici

We continue our previous work on a problem of Janiec connected with a uniqueness theorem, of Cartan-Gutzmer type, for holomorphic mappings in ℂⁿ. To solve this problem we apply properties of (j;k)-symmetrical functions.

Algorithme de calcul du polynôme de Bernstein : Cas non dégénéré

Joël Briançon, Michel Granger, Philippe Maisonobe, M. Miniconi (1989)

Annales de l'institut Fourier

Nous commençons par indiquer comment la connaissance du degré d’un opérateur différentiel, unitaire en $s$ et annulant $f^{s}$ , permet de donner un algorithme de calcul du polynôme de Bernstein d’un germe $f$ de fonction analytique à singularité isolée.Nous étudions alors le cas d’une singularité non dégénérée par rapport à son polygôme de Newton; nous donnons un algorithme pour calculer le polynôme de Bernstein de ces singularités et l’équation fonctionnelle associée. Notre méthode utilise une filtration...

An Example on the Heisenberg Group Related to the Levy Operator.

E.M. Stein (1982)

Inventiones mathematicae

An explicit holomorphic map of bounded domains in Cn with C2-Boundary onto the poydisc.

Erik Low (1983)

Manuscripta mathematica

An extension theorem for separately holomorphic functions with analytic singularities

Marek Jarnicki, Peter Pflug (2003)

Annales Polonici Mathematici

Let $D_{j} \subset ℂ^{k_{j}}$ be a pseudoconvex domain and let $A_{j} \subset D_{j}$ be a locally pluriregular set, j = 1,...,N. Put $X : = ⋃_{j = 1}^{N} A ₁ \times . . . \times A_{j - 1} \times D_{j} \times A_{j + 1} \times . . . \times A_{N} \subset ℂ^{k ₁ + . . . + k_{N}}$ . Let U be an open connected neighborhood of X and let M ⊊ U be an analytic subset. Then there exists an analytic subset M̂ of the “envelope of holomorphy” X̂ of X with M̂ ∩ X ⊂ M such that for every function f separately holomorphic on X∖M there exists an f̂ holomorphic on X̂∖M̂ with ${f ̂ |}_{X ∖ M} = f$ . The result generalizes special cases which were studied in [Ökt 1998], [Ökt 1999], [Sic 2001], and [Jar-Pfl 2001].

Analytic continuation for some classes of separately analytic functions of real variables

Nguyen Thanh Van (2003)

Annales Polonici Mathematici

For functions that are separately solutions of an elliptic homogeneous PDE with constant coefficients, we prove an analogue of Siciak's theorem for separately holomorphic functions.

Currently displaying 1 – 20 of 208

Page 1 Next