Improper integrals of distributions
Integrals and Banach spaces for finite order distributions
Let denote the real-valued functions continuous on the extended real line and vanishing at . Let denote the functions that are left continuous, have a right limit at each point and vanish at . Define to be the space of tempered distributions that are the th distributional derivative of a unique function in . Similarly with from . A type of integral is defined on distributions in and . The multipliers are iterated integrals of functions of bounded variation. For each , the spaces...
Integrals of operator-valued functions.
Konstruktion von Fundamentallösungen für Convolutoren.
Les distributions intégrables sur un ouvert de
Linear and bilinear Hilbert transform.
Linear distributional differential equations of the second order
The paper deals with the linear differential equation (0.1) with distributional coefficients and solutions from the space of regulated functions. Our aim is to get the basic existence and uniqueness results for the equation (0.1) and to generalize the known results due to F. V. Atkinson [At], J. Ligeza [Li1]-[Li3], R. Pfaff ([Pf1], [Pf2]), A. B. Mingarelli [Mi] as well as the results from the paper [Pe-Tv] concerning the equation (0.1).
Linear operators and operational calculus, Part II
Logarithmic asymptotic behaviour of the renormalized G-convolution product in four-dimensional euclidean space
Lorentz invariant distributions supported on the forward light cone
Means of vector-valued functions and projections which commute with the action of a group
Moment Sequences for Ultradistributions.
Multiple positive solutions in the sense of distributions of singular BVPs on time scales and an application to Emden-Fowler equations.
Multiplication de distributions avec conditions de compatibilité
Multiplication of distributions
Multiplication by harmonic representations of distributions, introduced by Li Banghe, is an extension of a certain product by radial (rotationally symmetric) mollifiers and therefore a strict extension of the Kami'{n}ski and Colombeau product.
Multipliers of Hankel transformable generalized functions
Let be the Zemanian space of Hankel transformable functions, and let be its dual space. In this paper is shown to be nuclear, hence Schwartz, Montel and reflexive. The space , also introduced by Zemanian, is completely characterized as the set of multipliers of and of . Certain topologies are considered on , and continuity properties of the multiplication operation with respect to those topologies are discussed.
Multipliers of temperate distributions
Spaces , , of multipliers of temperate distributions introduced in an earlier paper of the first author are expressed as inductive limits of Hilbert spaces.
Multipliers on Schwartz spaces of some Lie groups
Neutrices and the product of distributions
New generalized functions. Multiplication of distributions. Physical applications. Contribution of J. Sebastião e Silva