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A class of distributions supported by certain noncompact regular sets K are identified with continuous linear functionals on $C_{0}^{\infty} (K)$ . The proof is based on a parameter version of the Seeley extension theorem.

Characterization of regular tempered distributions

Zofia Szmydt (1983)

Annales Polonici Mathematici

Characterization of some Subspaces of (D') by S-asymptotic

Bogoljub Stanković (1987)

Publications de l'Institut Mathématique

Characterization of the Colombeau product of distributions

Jiří Jelínek (1986)

Commentationes Mathematicae Universitatis Carolinae

Characterization of the linear partial differential operators with constant coefficients that admit a continuous linear right inverse

B. A. Taylor, R. Meise, Dietmar Vogt (1990)

Annales de l'institut Fourier

Solving a problem of L. Schwartz, those constant coefficient partial differential operators $P (D)$ are characterized that admit a continuous linear right inverse on $ℰ (Ω)$ or $𝒟^{'} (Ω)$ , $Ω$ an open set in $R^{n}$ . For bounded $Ω$ with $C^{1}$ -boundary these properties are equivalent to $P (D)$ being very hyperbolic. For $Ω = R^{n}$ they are equivalent to a Phragmen-Lindelöf condition holding on the zero variety of the polynomial $P$ .

Characterization of the $ω$ hypoelliptic convolution operators on ultradistributions.

Bonet, J., Fernández, C., Meise, R. (2000)

Annales Academiae Scientiarum Fennicae. Mathematica

Coefficients généralisés de séries principales sphériques et distributions sphériques sur G.../G... .

P. Delorme (1991)

Inventiones mathematicae

Commutative differential algebras with an algebraic element

L. Berg (1983)

Studia Mathematica

Commutative neutrix convolution products of functions.

Fisher, Brian, Kiliçman, Adem (1994)

Commentationes Mathematicae Universitatis Carolinae

Commutative neutrix convolution products of functions

Brian Fisher, Adem Kiliçman (1994)

Commentationes Mathematicae Universitatis Carolinae

The commutative neutrix convolution product of the functions $x^{r} e_{-}^{λ x}$ and $x^{s} e_{+}^{μ x}$ is evaluated for $r, s = 0, 1, 2, ...$ and all $λ, μ$ . Further commutative neutrix convolution products are then deduced.

Compactly supported distributions and unitary representations. (Distributions à support compact et représentations unitaires.)

Manchon, Dominique (1999)

Journal of Lie Theory

Comparison of Some Solution Concepts for Linear First-order Hyperbolic Differential Equations With Non-smooth Coefficients

Simon Haller, Günther Hörmann (2008)

Publications de l'Institut Mathématique

Completely monotone families of solutions of $n$ -th order linear differential equations and infinitely divisible distributions

Philip Hartman (1976)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Construction des puissances fractionnaires d'opérateurs générateurs de semi groupes distribution réguliers

M. Balabane (1973/1974)

Séminaire Équations aux dérivées partielles (Polytechnique)

Continuation of holomorphic solutions to convolution equations in complex domains

Ryuichi Ishimura, Jun-ichi Okada, Yasunori Okada (2000)

Annales Polonici Mathematici

For an analytic functional $S$ on $ℂ^{n}$ , we study the homogeneous convolution equation S * f = 0 with the holomorphic function f defined on an open set in $ℂ^{n}$ . 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

Y. Meyer (1983/1984)

Séminaire Équations aux dérivées partielles (Polytechnique)

Continuity of multiplication of distributions.

Kučera, Jan, McKennon, Kelly (1981)

International Journal of Mathematics and Mathematical Sciences

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