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
Negative results on the Nash-Moser theorem for Köthe sequences spaces and for spaces of ultradifferentiable functions.
Neutrices and the product of distributions
New characterizations for Hankel transformable spaces of Zemanian.
New generalized functions. Multiplication of distributions. Physical applications. Contribution of J. Sebastião e Silva
New inversion formulas for the Krätzel transformation.
Non-holomorphic functional calculus for commuting operators with real spectrum
We consider -tuples of commuting operators on a Banach space with real spectra. The holomorphic functional calculus for is extended to algebras of ultra-differentiable functions on , depending on the growth of , , when . In the non-quasi-analytic case we use the usual Fourier transform, whereas for the quasi-analytic case we introduce a variant of the FBI transform, adapted to ultradifferentiable classes.
Nonlinear maps in spaces of distributions.
Non-solvability of the tangential -systems
We prove that for a real analytic generic submanifold of whose Levi-form has constant rank, the tangential -system is non-solvable in degrees equal to the numbers of positive and negative Levi-eigenvalues. This was already proved in [1] in case the Levi-form is non-degenerate (with non-necessarily real analytic). We refer to our forthcoming paper [7] for more extensive proofs.
Non-Standard Analysis And Generalized Functions.
Normal operators spaces of distributions.
Nové výsledky v theorii distribucí
-Topologies on the Test Function Algebra
On a functional equation of Aczél and Chung.
On a limit at infinity notion of an ultradistribution. (Sur une notion de limite à l'infini d'une ultradistribution.)