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.
Multiple positive solutions in the sense of distributions of singular BVPs on time scales and an application to Emden-Fowler equations.
Multiplication de distributions avec conditions de compatibilité
Multiplication of distributions
Multiplication by harmonic representations of distributions, introduced by Li Banghe, is an extension of a certain product by radial (rotationally symmetric) mollifiers and therefore a strict extension of the Kami'{n}ski and Colombeau product.
Multipliers of Hankel transformable generalized functions
Let be the Zemanian space of Hankel transformable functions, and let be its dual space. In this paper is shown to be nuclear, hence Schwartz, Montel and reflexive. The space , also introduced by Zemanian, is completely characterized as the set of multipliers of and of . Certain topologies are considered on , and continuity properties of the multiplication operation with respect to those topologies are discussed.
Multipliers of temperate distributions
Spaces , , of multipliers of temperate distributions introduced in an earlier paper of the first author are expressed as inductive limits of Hilbert spaces.
Multipliers on Schwartz spaces of some Lie groups