A finiteness result on the ring of analytic functions defined on a Banach space
A Riemann Mapping Theorem for Bounded Symmetric Domains in Complex Banach Spaces.
A Twistor Correspondence for Homogeneous Polynomial Differential Operators.
Algebraische Beschreibung der Ableitung bei -Mal Stetig-Differenzierbaren Funktionen
An example of a Banach space V such that all the degree ≥ 2 hypersurfaces of P(V) are singular.
Here we give an example of a Banach space V such that all the degree ≥ 2 hypersurfaces of P(V) are singular.
Analytic continuation and regular classes in locally convex Hausdorff spaces
Analytic subsets of products of infinite-dimensional projective spaces.
Approximation of entire functions of slow growth on compact sets
In the present paper, we study the polynomial approximation of entire functions of several complex variables. The characterizations of generalized order and generalized type of entire functions of slow growth have been obtained in terms of approximation and interpolation errors.
Approximation of holomorphic functions in Banach spaces admitting a Schauder decomposition
Let be a complex Banach space. Recall that admits afinite-dimensional Schauder decompositionif there exists a sequence of finite-dimensional subspaces of such that every has a unique representation of the form with for every The finite-dimensional Schauder decomposition is said to beunconditionalif, for every the series which represents converges unconditionally, that is, converges for every permutation of the integers. For short, we say that admits an unconditional F.D.D.We...
Automorphismes analytiques des produits continus de domaines bornés
Banach spaces in an analytic model of synthetic differential geometry
Berichtigung zu der Arbeit "Quotienten differenzierbarer Räume", erschienen in 145, 19 - 27 (1975).
Bounde Reinhardt domains in Banach spaces
Branched coverings and minimal free resolution for infinite-dimensional complex spaces.
Ck and Analytic Equivalence of Complex Analytic Varieties.
Continuous transformation groups on spaces
A differentiable group is a group in the category of (reduced and nonreduced) differentiable spaces. Special cases are the rationals ℚ, Lie groups, formal groups over ℝ or ℂ; in general there is some mixture of those types, the general structure, however, is not yet completely determined. The following gives as a corollary a first essential answer. It is shown, more generally,that a locally compact topological transformation group, operating effectively on a differentiable space X (which satisfies...
Croissance des fonctions plurisousharmoniques en dimension infinie
Les ensembles polaires dans , c’est-à-dire les ensembles où une fonction plurisousharmonique qui n’est pas identiquement admet cette valeur, apparaissent comme des ensembles exceptionnels dans beaucoup de problèmes en analyse complexe. Par exemple, la croissance d’une fonction plurisousharmonique en une variable quand une autre variable est fixée est essentiellement la même pour tout sauf quand appartient à un ensemble polaire. Dans l’article un résultat très précis et général de cette...
Deformation kompakter komplexer Mannigfaltigkeiten.
Déformations isomonodromiques des singularités régulières
Der Satz von Kuranishi für kompakte komplexe Räume.