Add to ORKGIn this article we give a new definition of products of distributions. Thereby we understand the product δ^2 of Dirac's δreasonably. Further we obtain a new class of generalized functions, namely, a new class of continuous nonlinear distributions. Thus we found out new concrete examples of functions defined on an infinite dimensional locally convex space. 2000 Mathematics Subject Classification. Primary 46F20; Secondary 46F05, 46F1
Abstract. Let f, g be distributions in D ′ and let fn = f ∗ δn, gn = g ∗ δn, where {δn} is a certain...
We introduce a new class of multiplications of distributions in one dimension merging two different ...
Abstract. The fixed infinitely differentiable function ρ(x) is such that {nρ(nx)} is a re-gular sequ...
summary:The fixed infinitely differentiable function $\rho (x)$ is such that $\{n\rho (n x)\}$ is a ...
We define a family of products of a distribution $T'∈ D'$ by a distribution $S∈ C^∈fty ⨁ D'n$ where...
We define a family of products of a distribution $T'∈ D'$ by a distribution $S∈ C^∈fty ⨁ D'n$ where...
In this paper we consider product of infinitely differentiable function and the r-th derivative of D...
Results on products of distributions are derived. They are obtained in Colombeau differential algebr...
AbstractWe construct a generalization of the multiplicative product of distributions presented by L....
Abstract: Results on singular products of Schwartz distributions on the Euclidean space R m are deri...
In this paper we consider product of infinitely differentiable function and the r-th derivative od D...
In this paper some products of distributions are derived. Theresults are obtained in Colombeau algeb...
In this paper some products of distributions are derived. Theresults are obtained in Colombeau algeb...
In this paper some products of distributions are derived. Theresults are obtained in Colombeau algeb...
We introduce a new class of multiplications of distributions in one dimension merging two different ...
Abstract. Let f, g be distributions in D ′ and let fn = f ∗ δn, gn = g ∗ δn, where {δn} is a certain...
We introduce a new class of multiplications of distributions in one dimension merging two different ...
Abstract. The fixed infinitely differentiable function ρ(x) is such that {nρ(nx)} is a re-gular sequ...
summary:The fixed infinitely differentiable function $\rho (x)$ is such that $\{n\rho (n x)\}$ is a ...
We define a family of products of a distribution $T'∈ D'$ by a distribution $S∈ C^∈fty ⨁ D'n$ where...
We define a family of products of a distribution $T'∈ D'$ by a distribution $S∈ C^∈fty ⨁ D'n$ where...
In this paper we consider product of infinitely differentiable function and the r-th derivative of D...
Results on products of distributions are derived. They are obtained in Colombeau differential algebr...
AbstractWe construct a generalization of the multiplicative product of distributions presented by L....
Abstract: Results on singular products of Schwartz distributions on the Euclidean space R m are deri...
In this paper we consider product of infinitely differentiable function and the r-th derivative od D...
In this paper some products of distributions are derived. Theresults are obtained in Colombeau algeb...
In this paper some products of distributions are derived. Theresults are obtained in Colombeau algeb...
In this paper some products of distributions are derived. Theresults are obtained in Colombeau algeb...
We introduce a new class of multiplications of distributions in one dimension merging two different ...
Abstract. Let f, g be distributions in D ′ and let fn = f ∗ δn, gn = g ∗ δn, where {δn} is a certain...
We introduce a new class of multiplications of distributions in one dimension merging two different ...
Abstract. The fixed infinitely differentiable function ρ(x) is such that {nρ(nx)} is a re-gular sequ...