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Displaying 461 – 480 of 5576

Analytic continuation and regular classes in locally convex Hausdorff spaces

Schottenloher, Martin (1974)

Portugaliae mathematica

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.

Analytic Continuation of Currents and Division Problems.

A. YGER, R. Gay, Carlos A. Berenstein (1989)

Forum mathematicum

Analytic convexity

Aldo Andreotti, Mauro Nacinovich (1980)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Analytic curves in power series rings

Herwig Hauser, Gerd Müller (1990)

Compositio Mathematica

Analytic Cycles and Vector Bundles on Non-Compact Algebraic Varieties.

Maurizio Cornalba, Phillip Griffiths (1975)

Inventiones mathematicae

Analytic deviation of ideals and intersection theory of analytic spaces.

Rüdiger Achilles, Mirella Manaresi (1993)

Manuscripta mathematica

Analytic discs method in complex analysis [Book]

Armen Edigarian (2002)

Analytic disks with boundaries in a maximal real submanifold of $𝐂^{2}$

Franc Forstneric (1987)

Annales de l'institut Fourier

Let $M$ be a two dimensional totally real submanifold of class $C^{2}$ in $C^{2}$ . A continuous map $F : \overline{Δ} \to C^{2}$ of the closed unit disk $\overline{Δ} \subset C$ into $C^{2}$ that is holomorphic on the open disk $Δ$ and maps its boundary $b Δ$ into $M$ is called an analytic disk with boundary in $M$ . Given an initial immersed analytic disk $F^{0}$ with boundary in $M$ , we describe the existence and behavior of analytic disks near $F^{0}$ with boundaries in small perturbations of $M$ in terms of the homology class of the closed curve $F^{0} (b Δ)$ in $M$ . We also prove a regularity theorem...

Analytic equivalence of plane curve singularities $y^{n} + x^{α} y + x^{β} a (x) = 0$ .

Stepanović, B., Lipkovski, A. (2007)

Publications de l'Institut Mathématique. Nouvelle Série

Analytic extension from non-pseudoconvex boundaries and $A (D)$ -convexity

Christine Laurent-Thiébaut, Egmon Porten (2003)

Annales de l’institut Fourier

Let $D \subset \subset ℂ^{n}, n \geq 2$ , be a domain with $C^{2}$ -boundary and $K \subset \partial D$ be a compact set such that $\partial D ∖ K$ is connected. We study univalent analytic extension of CR-functions from $\partial D ∖ K$ to parts of $D$ . Call $K$ CR-convex if its $A (D)$ -convex hull, $A (D) - hull (K)$ , satisfies $K = \partial D \cap A (D) - hull (K)$ ( $A (D)$ denoting the space of functions, which are holomorphic on $D$ and continuous up to $\partial D$ ). The main theorem of the paper gives analytic extension to $\partial D ∖ A (D) - hull (K)$ , if $K$ is CR- convex.

Analytic functionals and Bergman spaces

Paul Zorn (1982)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Analytic functionals annihilated by ideals.

A. Dickenstein, R. Gay, C. Sessa (1996)

Manuscripta mathematica

Analytic functionals on the sphere and their Fourier-Borel transformations

Mitsuo Morimoto (1983)

Banach Center Publications

Analytic geometry on compacta in Cn.

Evgeny A. Poletsky (1996)

Mathematische Zeitschrift

Analytic inversion of adjunction: $L^{2}$ extension theorems with gain

Jeffery D. McNeal, Dror Varolin (2007)

Annales de l’institut Fourier

We establish new results on weighted $L^{2}$ -extension of holomorphic top forms with values in a holomorphic line bundle, from a smooth hypersurface cut out by a holomorphic function. The weights we use are determined by certain functions that we call denominators. We give a collection of examples of these denominators related to the divisor defined by the submanifold.

Analytic isomorphisms of infinite dimensional polydiscs and an application

Reinhold Meise, Dietmar Vogt (1983)

Bulletin de la Société Mathématique de France

Analytic Lifting of Algebraic Tori.

Peter Ullrich (1985/1986)

Mathematische Annalen

Analytic multivalued functions and spectral trace.

M.C. White (1996)

Mathematische Annalen

Analytic regularity for the Bergman kernel

Gabor Françis, Nicholas Hanges (1998)

Journées équations aux dérivées partielles

Let $Ω \subset ℝ^{2}$ be a bounded, convex and open set with real analytic boundary. Let $T_{Ω} \subset ℂ^{2}$ be the tube with base $Ω,$ and let $ℬ$ be the Bergman kernel of $T_{Ω}$ . If $Ω$ is strongly convex, then $ℬ$ is analytic away from the boundary diagonal. In the weakly convex case this is no longer true. In this situation, we relate the off diagonal points where analyticity fails to the Trèves curves. These curves are symplectic invariants which are determined by the CR structure of the boundary of $T_{Ω}$ . Note that Trèves curves exist only...

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