Eigenfunctions of Laplacian by boundedness conditions in bounded hyperfunctions and distributions.
Ein Permanenzprinzip für vektorwertige Distributionen.
Ein Schwach-Stark-Prinzip der Dualitätstheorie lokalkonvexer Räume als Fortsetzungsmethode.
Eine Bemerkung zur Division von Distributionen durch analytische Operatorfunktionen.
Eine Klasse von Convolutoren.
Elastodynamic singular points and their applications.
Elliptic corner operators in spaces with continuous radial asymptotics II
Asymptotic expansions at the origin with respect to the radial variable are established for solutions to equations with smooth 2-dimensional singular Fuchsian type operators.
Elliptic regularity and solvability for partial differential equations with Colombeau coefficients.
Entire elliptic convolution equations in spaces of generalized distributions
Entire elliptic Hankel convolution equations
In this paper we characterize the entire elliptic Hankel convolutors on tempered distributions in terms of the growth of their Hankel transforms.
Entrelacement de co-Poisson
On connaît le lien intime qui existe entre les équations fonctionnelles des fonctions et les formules sommatoires dont le prototype est donné par celle de Poisson. Ce lien fait intervenir la transformation intégrale de Fourier et ses généralisations. Ici, nous réexaminons la signification harmonique (ainsi qu’hilbertienne et distributionnelle) des équations fonctionnelles ayant la forme la plus simple, à savoir, celle s’appliquant pour la fonction dzêta de Riemann et les séries de Dirichlet...
Equality of two diffeomorphism invariant Colombeau algebras
The two diffeomorphism invariant algebras introduced in Grosser M., Farkas E., Kunziger M., Steinbauer R., On the foundations of nonlinear generalized functions I, II, Mem. Amer. Math. Soc. 153 (2001), no. 729, 93 pp., are identical.
Equations in differentials in the algebra of generalized stochastic processes
We consider an ordinary or stochastic nonlinear equation with generalized coefficients as an equation in differentials in the algebra of new generalized functions in the sense of [8]. Consequently, the solution of such an equation is a new generalized function. We formulate conditions under which the solution of a given equation in the algebra of new generalized functions is associated with an ordinary function or process. Moreover the class of all possible associated functions and processes is...
Équivalence des diverses notions de spectre singulier analytique
Errata-Corrige : “Completely monotone families of solutions of -th order linear differential equations and infinitely divisible distributions”
Existence and stability of measure differential equations
Existence et prolongement des solutions holomorphes des équations aux dérivées partielles
Expansions of distributions in terms of generalized heat polynomials and their Appell transforms.
Explicit forms of Wick tensor powers in general white noise spaces.
Extension and lacunas of solutions of linear partial differential equations
Let be compact, convex sets in with and let be a linear, constant coefficient PDO. It is characterized in various ways when each zero solution of in the space of all -functions on extends to a zero solution in resp. in . The most relevant characterizations are in terms of Phragmén-Lindelöf conditions on the zero variety of in and in terms of fundamental solutions for with lacunas.