Local analysis of nonstandard functions of pre-distributional type
Local Operators Between Spaces of Ultradifferentiable Functions and Ultradistributions.
Localisation et multiplicateurs des espaces de Sobolev Homogenes.
Localisations des espaces de Besov
Localizations of partial differential operators and surjectivity on real analytic functions
Let P(D) be a partial differential operator with constant coefficients which is surjective on the space A(Ω) of real analytic functions on an open set . Then P(D) admits shifted (generalized) elementary solutions which are real analytic on an arbitrary relatively compact open set ω ⊂ ⊂ Ω. This implies that any localization of the principal part is hyperbolic w.r.t. any normal vector N of ∂Ω which is noncharacteristic for . Under additional assumptions must be locally hyperbolic.
Logarithmic asymptotic behaviour of the renormalized G-convolution product in four-dimensional euclidean space
Lokalkonvexe Sequenzen mit kompakten Abbildungen.
Lorentz invariant distributions supported on the forward light cone
Manifolds of smooth maps
Manifold-valued generalized functions in full Colombeau spaces
We introduce the notion of generalized function taking values in a smooth manifold into the setting of full Colombeau algebras. After deriving a number of characterization results we also introduce a corresponding concept of generalized vector bundle homomorphisms and, based on this, provide a definition of tangent map for such generalized functions.
Means of vector-valued functions and projections which commute with the action of a group
Microfunctions with values in a Clifford algebra 1
Microlocal analysis in the dual of a Colombeau algebra: generalized wave front sets and noncharacteristic regularity.
Microlocal properties of ultradistributions. Composition and kernel type operators.
Minimal bi-invariant Hilbert subspaces of distributions on nilpotent Lie groups.
Minimalité de certains espaces fonctionnels et applications à la théorie des opérateurs
Mixed intersections of non quasi-analytic classes.
Moderate and formal cohomology associated with constructible sheaves
Moment Sequences for Ultradistributions.
Monogenic functions on surfaces.