On a functional equation of Aczél and Chung.
On an application of hypoellipticity to solutions of functional equations.
On defining the generalized functions and .
On defining the product .
On distributions invariant with respect to some linear transformations
On E. Borel's Theorem.
On extendability of invariant distributions
In this paper sufficient conditions are given in order that every distribution invariant under a Lie group extend from the set of orbits of maximal dimension to the whole of the space. It is shown that these conditions are satisfied for the n-point action of the pure Lorentz group and for a standard action of the Lorentz group of arbitrary signature.
On Fourier transforms of distributions with one-sided bounded carriers
On Generalized Models and Singular Products of Distributions in Colombeau Algebra G(R)
MSC 2010: 46F30, 46F10Modelling of singularities given by discontinuous functions or distributions by means of generalized functions has proved useful in many problems posed by physical phenomena. We introduce in a systematic way generalized functions of Colombeau that model such singularities. Moreover, we evaluate some products of singularity-modelling generalized functions whenever the result admits an associated distribution.
On generalized periodic solutions of linear differential equations of order n
On generalized solutions of some differential non-linear equations of order n
On Hankel transform and Hankel convolution of Beurling type distributions having upper bounded support
In this paper we study Beurling type distributions in the Hankel setting. We consider the space of Beurling type distributions on having upper bounded support. The Hankel transform and the Hankel convolution are studied on the space . We also establish Paley Wiener type theorems for Hankel transformations of distributions in .
On Hermite expansion of
On Hermite expansions of 1/x and 1/|x|
On homogeneous rotation invariant distributions and the Laplace operator
On Hörmander's Theorem about Surjections of ... .
On multiplication of some generalized functions
On multipliers of temperate distributions
On second derivates of convex functions.
On some boundary value problems for ordinary linear differential equations of second order in the Colombeau algebra