On some boundary value problems for ordinary linear differential equations of second order in the Colombeau algebra
On some classes of distributions
On some classes of infinitely decomposable Sobolev-Schwartz test functions
On some distributional multiplicative products
On some general notions of superior limit, inferior limit and value of a distribution at a point.
On some neutrix products of distributions.
On tempered convolution operators
In this paper we show that if is a convolution operator in , and , then the zeros of the Fourier transform of are of bounded order. Then we discuss relations between the topologies of the space of convolution operators on . Finally, we give sufficient conditions for convergence in the space of convolution operators in and in its dual.
On tempered integrals and derivatives of non-negative orders
On The Behaviour Of Distributions At Infinity, Wiener-Tauberian Type Results
On the canonical extensions for distributions in the space
On the -compatibility of supports of distributions of -type.
On the composition of distributions and .
On the convolution in the space
On the convolution product of the distributional kernel .
On the distributivity equation for uni-nullnorms
A uni-nullnorm is a special case of 2-uninorms obtained by letting a uninorm and a nullnorm share the same underlying t-conorm. This paper is mainly devoted to solving the distributivity equation between uni-nullnorms with continuous Archimedean underlying t-norms and t-conorms and some binary operators, such as, continuous t-norms, continuous t-conorms, uninorms, and nullnorms. The new results differ from the previous ones about the distributivity in the class of 2-uninorms, which have not yet...
On the Fresnel integrals and the convolution.
On the Fresnel sine integral and the convolution.
On the functional equation H [tau (F,G), chi (F,G)] = H (F,G).
In this paper we solve the functional equationH [tau(F,G), chi (F,G)] = H (F,G)where the unknowns tau and chi are two semigroups on a space of distribution functions, and H is a given pointwise binary operation on this space satisfying some regularity conditions.
On the incomplete gamma function and the neutrix convolution
The incomplete Gamma function and its associated functions and are defined as locally summable functions on the real line and some convolutions and neutrix convolutions of these functions and the functions and are then found.
On the multiplication and convolution of homogeneous distributions