Calculation of the Bidual for Some Function Spaces. Integrable Distributions.
Caratterizzazione dei polinomi di convoluzione in una variabile a decrescenza rapida, a coefficienti costanti, che hanno soluzioni quasi periodiche per ogni termine noto quasi periodico
Cauchy's problem for systems of linear differential equations with distributional coefficients
Characterization of Mellin distributions supported by certain noncompact sets
A class of distributions supported by certain noncompact regular sets K are identified with continuous linear functionals on . The proof is based on a parameter version of the Seeley extension theorem.
Characterization of regular tempered distributions
Characterization of some Subspaces of (D') by S-asymptotic
Characterization of the Colombeau product of distributions
Characterization of the linear partial differential operators with constant coefficients that admit a continuous linear right inverse
Solving a problem of L. Schwartz, those constant coefficient partial differential operators are characterized that admit a continuous linear right inverse on or , an open set in . For bounded with -boundary these properties are equivalent to being very hyperbolic. For they are equivalent to a Phragmen-Lindelöf condition holding on the zero variety of the polynomial .
Characterization of the hypoelliptic convolution operators on ultradistributions.
Coefficients généralisés de séries principales sphériques et distributions sphériques sur G.../G... .
Commutative differential algebras with an algebraic element
Commutative neutrix convolution products of functions.
Commutative neutrix convolution products of functions
The commutative neutrix convolution product of the functions and is evaluated for and all . Further commutative neutrix convolution products are then deduced.
Compactly supported distributions and unitary representations. (Distributions à support compact et représentations unitaires.)
Comparison of Some Solution Concepts for Linear First-order Hyperbolic Differential Equations With Non-smooth Coefficients
Completely monotone families of solutions of -th order linear differential equations and infinitely divisible distributions
Construction des puissances fractionnaires d'opérateurs générateurs de semi groupes distribution réguliers
Continuation of holomorphic solutions to convolution equations in complex domains
For an analytic functional on , we study the homogeneous convolution equation S * f = 0 with the holomorphic function f defined on an open set in . We determine the directions in which every solution can be continued analytically, by using the characteristic set.
Continuité sur les espaces de Hölder et de Sobolev des opérateurs définis par des intégrales singulières
Continuity of multiplication of distributions.