Randverteilungen holomorpher Funktionen und die Topologie von D'.
Range of operators and regularity of solutions
Range of the horocyclic Radon transform on trees
In this paper we study the Radon transform on the set of horocycles of a homogeneous tree , and describe its image on various function spaces. We show that the functions of compact support on that satisfy two explicit Radon conditions constitute the image under of functions of finite support on . We extend these results to spaces of functions with suitable decay on , whose image under satisfies corresponding decay conditions and contains distributions on that are not defined pointwise....
Real and complex fundamental solutions. A way for unifying mathematical analysis.
Recent development in the theory of linear partial differential equations.
Recent developments on the Stieltjes transform of generalized functions.
Recent progress in special Colombeau algebras: geometry, topology, and algebra
Over the past few years there has been considerable progress in the structural understanding of special Colombeau algebras. We present some of the main trends in this development: non-smooth differential geometry, locally convex theory of modules over the ring of generalized numbers, and algebraic aspects of Colombeau theory. Some open problems are given and directions of further research are outlined.
Regolarizzazione delle distribuzioni funtoriali, di una variabile, quasi periodiche, mediante funzioni funtoriali, e loro approssimazioni
Regular nonlinear generalized functions and applications
Régularité pour des systèmes à coefficients constants
Regularization and asymptotic expansion of certain distributions defined by divergent series.
Regularization of distributions.
Regularization of Some Classes of Ultradistribution Semigroups and Sines
Regularized derivatives in a 2-dimensional model of self-interacting fields with singular data.
Regularly Varying Distributions
Regularly varying ultradistributions
Relationships among transforms, convolutions, and first variations.
Remarks on absolutely regular and regular -distributions
nbspAbstract. We give the definition of regular distributions and some characterizations of absolutely regular and regular -distributions.
Remarks On Absolutely Regular And Regular Tempered Distributions
Remarks on generalized solutions of ordinary linear differential equations in the Colombeau algebra
In this paper first order linear ordinary differential equations are considered. It is shown that the Cauchy problem for these systems has a unique solution in , where denotes the Colombeau algebra.