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

Displaying 181 – 200 of 219

Division et composition dans l'anneau des séries de Dirichlet analytiques

Frédéric Bayart, Augustin Mouze (2003)

Annales de l'Institut Fourier

Ce travail est une étude analytique locale de l’anneau des séries de Dirichlet convergentes. Dans un premier temps, on établit des propriétés arithmétiques de cet anneau ; on prouve en particulier sa factorialité, que l’on déduit de théorèmes de division du type Weierstrass. Ensuite, on s’intéresse à des problèmes de composition. Soient $f (s)$ et $ϕ (s)$ des séries de Dirichlet convergentes. On sait que $f (c_{0} s + ϕ (s)),$ avec $c_{0} \in ℕ^{*},$ est encore une série de Dirichlet convergente. On étudie la réciproque : sous les hypothèses que...

Division et extension dans des classes de Carleman de fonctions holomorphes

Vincent Thilliez (1998)

Banach Center Publications

Let Ω be a bounded pseudoconvex domain in $ℂ^{n}$ with $C^{1}$ boundary and let X be a complete intersection submanifold of Ω, defined by holomorphic functions $v_{1}, . . ., v_{p}$ (1 ≤ p ≤ n-1) smooth up to ∂Ω. We give sufficient conditions ensuring that a function f holomorphic in X (resp. in Ω, vanishing on X), and smooth up to the boundary, extends to a function g holomorphic in Ω and belonging to a given strongly non-quasianalytic Carleman class $l! M_{l}$ in $\bar{Ω}$ (resp. satisfies $f = v_{1} f_{1} + . . . + v_{p} f_{p}$ with $f_{1}, . . ., f_{p}$ holomorphic in Ω and $l! M_{l}$ -regular in $\bar{Ω}$ ). The essential...

Division et extension dans l'algèbre A...(...) d'un ouvert pseudo-convexe à bord lisse de ...n.

Roger Gay, Ahmed Sebbar (1985)

Mathematische Zeitschrift

Divisorenklassengruppen der Komplettierungen analytischer Algebra.

Jürgen Bingener (1975)

Mathematische Annalen

Divisorial Zariski decompositions on compact complex manifolds

Sébastien Boucksom (2004)

Annales scientifiques de l'École Normale Supérieure

Divisors in global analytic sets

Francesca Acquistapace, A. Díaz-Cano (2011)

Journal of the European Mathematical Society

We prove that any divisor $Y$ of a global analytic set $X \subset ℝ^{n}$ has a generic equation, that is, there is an analytic function vanishing on $Y$ with multiplicity one along each irreducible component of $Y$ . We also prove that there are functions with arbitrary multiplicities along $Y$ . The main result states that if $X$ is pure dimensional, $Y$ is locally principal, $X / Y$ is not connected and $Y$ represents the zero class in $H_{q - 1}^{\infty} (X, ℤ_{2})$ then the divisor $Y$ is globally principal.

D-modules et geometrie des tissus de C2.

Alain Hénaut (1990)

Mathematica Scandinavica

Dolbeault homotopy theory and compact nilmanifolds

L. Cordero, M. Fernández, A. Gray, L. Ugarte (1998)

Banach Center Publications

In this paper we study the degeneration of both the cohomology and the cohomotopy Frölicher spectral sequences in a special class of complex manifolds, namely the class of compact nilmanifolds endowed with a nilpotent complex structure. Whereas the cohomotopy spectral sequence is always degenerate for such a manifold, there exist many nilpotent complex structures on compact nilmanifolds for which the classical Frölicher spectral sequence does not collapse even at the second term.

Domaines a estimation maximale.

M. Derridj (1991)

Mathematische Zeitschrift

Domaines complets d'existence des fonctions analytiques uniformes dans les corps valués complets

Marc Krasner (1969/1970)

Séminaire Delange-Pisot-Poitou. Théorie des nombres

Domaines de $𝐂^{2}$ , pseudoconvexes et de type fini ayant un groupe non compact d’automorphismes

F. Berteloot, Gérard Cœuré (1991)

Annales de l'institut Fourier

On démontre que les domaines bornés, pseudo-convexes, à frontière lisse, de type fini dans $C^{2}$ , ayant un groupe d’automorphismes non compact sont biholomorphes à des domaines de la forme ${Re w + P (z) < 0}$ , où $P$ est un polynôme sousharmonique dont le degré est majoré par le type de la frontière du domaine.

Domaines de Steinet fonctionsholomorphes bornés.

A. Hirschowitz (1975)

Mathematische Annalen

Domains in Cn with a piecewise Levi flat boundary which possess a noncompact automorphism gorup.

Kang-Tae Kim (1992)

Mathematische Annalen

Domains of biregularity in Clifford analysis

Brackx, Freddy, Pincket, Willy (1985)

Proceedings of the Winter School "Geometry and Physics"

Domains of Existence for Plurisubharmonic Functions.

Eric Bedford, Dan Burns (1978)

Mathematische Annalen

Domains which are locally uniformly linearly convex in the Kobayashi distance.

Budzyńska, Monika (2003)

Abstract and Applied Analysis

Domains with Finite Dimensional Bergman Space.

Wiegerinck, Jan J.O.O. (1984)

Mathematische Zeitschrift

Domains with Pseudoconvex Neighborhood Systems.

John Erik Fornaess, Eric Bedford (1978)

Inventiones mathematicae

Double covers and vector bundles.

Brînzănescu, Vasile (2001)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

Doubly commuting submodules of the Hardy module over polydiscs

Jaydeb Sarkar, Amol Sasane, Brett D. Wick (2013)

Studia Mathematica

In this note we establish a vector-valued version of Beurling’s theorem (the Lax-Halmos theorem) for the polydisc. As an application of the main result, we provide necessary and sufficient conditions for the “weak” completion problem in $H^{\infty} (ⁿ)$ .

Currently displaying 181 – 200 of 219

Previous Page 10 Next