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.
On the value of a distribution at a point
On the Value of a Distribution at a Point.
On two new characterizations of Stieltjes transforms for distributions.
On two-points boundary value problems for ordinary nonlinear differential equations of the fourth order in the Colombeau algebra
On vector measures and distributions
On vector-valued Hörmander-Beurling spaces.
On Well-Located Subspaces of Distribution-Spaces.
Ondelettes et espaces de Besov.
One-dimensional adhesion model for large scale structures.
One-parameter semigroups in the convolution algebra of rapidly decreasing distributions
The paper is devoted to infinitely differentiable one-parameter convolution semigroups in the convolution algebra of matrix valued rapidly decreasing distributions on ℝⁿ. It is proved that is the generating distribution of an i.d.c.s. if and only if the operator on satisfies the Petrovskiĭ condition for forward evolution. Some consequences are discussed.
Operational calculi for Kontorovich-Lebedev and Mehler-Fock transforms on distributions with compact support.
Operational calculus and Fourier transform on Boehmians
We define various operations on the space of ultra Boehmians like multiplication with certain analytic functions which are Fourier transforms of compactly supported distributions, polynomials, and characters , translation, differentiation. We also prove that the Fourier transform on the space of ultra Boehmians has all the operational properties as in the classical theory.
Operator Homomorhisms.
Operator-Valued Ultradistributions in the Spectral Theory.
Ordinary Differential Equations with Delta Function Terms