On the non-commutative neutrix product of and .
On the non-commutative neutrix product .
On the orders of the extensions of linear functionals to distributions
On the Paley-Wiener-Schwartz isomorphism in Hilbert spaces
On the Quasiasymptotic Behaviour of the Stieltjes Transformation of Distributions
On the range of convolution operators on non-quasianalytic ultradifferentiable functions
Let denote the non-quasianalytic class of Beurling type on an open set Ω in . For the surjectivity of the convolution operator is characterized by various conditions, e.g. in terms of a convexity property of the pair and the existence of a fundamental solution for μ or equivalently by a slowly decreasing condition for the Fourier-Laplace transform of μ. Similar conditions characterize the surjectivity of a convolution operator between ultradistributions of Roumieu type whenever . These...
On the Range of the Radon Transform and its Dual.
On the sign of Colombeau functions and applications to conservation laws
A generalized concept of sign is introduced in the context of Colombeau algebras. It extends the sign of the point-value in the case of sufficiently regular functions. This concept of generalized sign is then used to characterize the entropy condition for discontinuous solutions of scalar conservation laws.
On the sine integral and the convolution.
On the singular support of distributions and Fourier transforms on symmetric spaces
On the singular support of the distributional determinant
On the solution -dimensional of the product operator and diamond Bessel operator.
On the solution of distributional Abel integral equation by distributional Sumudu transform.
On the space D'(l) of sequential distributions.
On the spectrum of the distributional kernel related to the residue.
On the structure of certain ultradistributions.
On the structure of Mellin distributions
On the structure of the ultradistributions of Beurling type.
On the support of Fourier transform of weighted distributions
We give sufficient conditions for the support of the Fourier transform of a certain class of weighted integrable distributions to lie in the region and .
On the ultradistributions of Beurling type.