Constructible sheaves, Whitney functions and Schwartz's distributions
Constructing One-Parameter Transformations on White Noise Functions in Terms of Equicontinuous Generators.
Construction de bases orthonormées d'ondelettes
Construction de solutions élémentaires dans le faisceau de M. Sato
Construction des puissances fractionnaires d'opérateurs générateurs de semi groupes distribution réguliers
Continuation of holomorphic solutions to convolution equations in complex domains
For an analytic functional on , we study the homogeneous convolution equation S * f = 0 with the holomorphic function f defined on an open set in . We determine the directions in which every solution can be continued analytically, by using the characteristic set.
Continuité sur les espaces de Hölder et de Sobolev des opérateurs définis par des intégrales singulières
Continuity of multiplication of distributions.
Continuity of the fundamental operations on distributions having a specified wave front set (with a counterexample by Semyon Alesker)
The pull-back, push-forward and multiplication of smooth functions can be extended to distributions if their wave front sets satisfy some conditions. Thus, it is natural to investigate the topological properties of these operations between spaces of distributions having a wave front set included in a given closed cone Γ of the cotangent space. As discovered by S. Alesker, the pull-back is not continuous for the usual topology on , and the tensor product is not separately continuous. In this paper,...
Continuity of the Radon Transform and its Inverse on Euclidean Space.
Continuous linear right inverses for convolution operators in spaces of real analytic functions
We determine the convolution operators on the real analytic functions in one variable which admit a continuous linear right inverse. The characterization is given by means of a slowly decreasing condition of Ehrenpreis type and a restriction of hyperbolic type on the location of zeros of the Fourier transform μ̂(z).
Contribution to the foundations of network theory using the distribution theory, II
Contributions to local and microlocal analysis, an overwiew
Convergence in spaces of rapidly increasing distributions.
Convergence in the dual of certain -spaces
Convergence of convolution operators
Convergence structures and -asymptotic behaviour of Fourier hyperfunctions.
Convolution equations in Colombeau's spaces.
Convolution equations in the space of Laplace distributions
A formal solution of a nonlinear equation P(D)u = g(u) in 2 variables is constructed using the Laplace transformation and a convolution equation. We assume some conditions on the characteristic set Char P.
Convolution in Colombeau's Spaces of Generalized Functions; Part I: the Space Ga and the A-integral