Calculation of the Bidual for Some Function Spaces. Integrable Distributions.
Caractérisation des anneaux noethériens de séries formelles à croissance controlée. Application à la synthèse spectrale.
Given a subring of the ring of formal power series defined by the growth of the coefficients, we prove a necessary and sufficient condition for it to be a noetherian ring. As a particular case, we show that the ring of Gevrey power series is a noetherian ring. Then, we get a spectral synthesis theorem for some classes of ultradifferentiable functions.
Cardinal invariants of -topologies.
Cartan-Thullen theorem for domains spread over ...-spaces.
Certain Operators in the space analytic Dirichlet transformations.
Characterization of Convolution Operators on Spaces of C-Functions Admitting a Continuous Linear Right Inverse.
Characterization of the convolution operators on quasianalytic classes of Beurling type that admit a continuous linear right inverse
Extending previous work by Meise and Vogt, we characterize those convolution operators, defined on the space of (ω)-quasianalytic functions of Beurling type of one variable, which admit a continuous linear right inverse. Also, we characterize those (ω)-ultradifferential operators which admit a continuous linear right inverse on for each compact interval [a,b] and we show that this property is in fact weaker than the existence of a continuous linear right inverse on .
Characterization of the Speed of Convergence of the Trapezoidal Rule.
Characterization of the hypoelliptic convolution operators on ultradistributions.
Classical PLS-spaces: spaces of distributions, real analytic functions and their relatives
This paper is an extended version of an invited talk presented during the Orlicz Centenary Conference (Poznań, 2003). It contains a brief survey of applications to classical problems of analysis of the theory of the so-called PLS-spaces (in particular, spaces of distributions and real analytic functions). Sequential representations of the spaces and the theory of the functor Proj¹ are applied to questions like solvability of linear partial differential equations, existence of a solution depending...
Classification of function spaces with the pointwise topology determined by a countable dense set
Compact weighted composition operators on spaces of continous functions: A survey.
Compactness of composition operators acting on weighted Bergman-Orlicz spaces
We characterize compact composition operators acting on weighted Bergman-Orlicz spaces , where α > -1 and ψ is a strictly increasing, subadditive convex function defined on [0,∞) and satisfying ψ(0) = 0, the growth condition and the Δ₂-condition. In fact, we prove that is compact on if and only if it is compact on the weighted Bergman space .
Compacts de fonctions de première classe
Complemented Infinite Type Power Series Subspaces of Nuclear Fréchet Spaces.
Complete duals of C*(X).
Completeness and sequential completeness in certain spaces of measures
Completions of normed algebras of differentiable functions
We look at normed spaces of differentiable functions on compact plane sets, including the spaces of infinitely differentiable functions considered by Dales and Davie in [7]. For many compact plane sets the classical definitions give rise to incomplete spaces. We introduce an alternative definition of differentiability which allows us to describe the completions of these spaces. We also consider some associated problems of polynomial and rational approximation.
Complex Homomorphisms of the Algebras of Holomorphic Functions on Fréchet Spaces.
Composition in ultradifferentiable classes
We characterize stability under composition of ultradifferentiable classes defined by weight sequences M, by weight functions ω, and, more generally, by weight matrices , and investigate continuity of composition (g,f) ↦ f ∘ g. In addition, we represent the Beurling space and the Roumieu space as intersection and union of spaces and for associated weight sequences, respectively.