On multipliers of temperate distributions
On regular and absolutely regular distributions in .
On regular -distributions
On regular temperature distribution
On representation of temperate distributions
On second derivates of convex functions.
On sequentially M-integrable distributions
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 some spaces of distributions
On systems of linear algebraic equations in the Colombeau algebra
From the fact that the unique solution of a homogeneous linear algebraic system is the trivial one we can obtain the existence of a solution of the nonhomogeneous system. Coefficients of the systems considered are elements of the Colombeau algebra of generalized real numbers. It is worth mentioning that the algebra is not a field.
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 Bézout equation in the ring of periodic distributions
A corona type theorem is given for the ring D'A(Rd) of periodic distributions in Rd in terms of the sequence of Fourier coefficients of these distributions,which have at most polynomial growth. It is also shown that the Bass stable rank and the topological stable rank of D'A(Rd) are both equal to 1.
On the canonical extensions for distributions in the space