Differentiability of distributions at a single point
Distinguishing example for the Tillmann product of distributions
Distributional boundary values and the tempered ultra-distributions
Distributionen auf dem RN als Randverteilungen holomorpher Funktionen.
Distributionen mit Werten in topologischen Vektorräumen I.
Distributionen mit Werten in topologischen Vektorräumen II.
Distributions homogènes sur des espaces de matrices
Distributions homogènes sur une algèbre de Jordan
Distribuzioni funtoriali in una variabile quasi periodiche
Division Problem and Partial Differential Equations with Constant Coefficients in Colombeau's Space of New Generalized Functions.
Duality and fractional integration in Lipschitz spaces
Ein Schwach-Stark-Prinzip der Dualitätstheorie lokalkonvexer Räume als Fortsetzungsmethode.
Eine Klasse von Convolutoren.
Entire elliptic convolution equations in spaces of generalized distributions
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.
Extension maps in ultradifferentiable and ultraholomorphic function spaces
The problem of the existence of extension maps from 0 to ℝ in the setting of the classical ultradifferentiable function spaces has been solved by Petzsche [9] by proving a generalization of the Borel and Mityagin theorems for -spaces. We get a Ritt type improvement, i.e. from 0 to sectors of the Riemann surface of the function log for spaces of ultraholomorphic functions, by first establishing a generalization to some nonclassical ultradifferentiable function spaces.
Extension of Analytic Functional Calculus Mappings and Duality by ...-Closed Forms with Growth.
Extension of ultradifferentiable functions.
Extensions de jets dans des intersections de classes non quasi-analytiques
In [3], J. Chaumat and A.-M. Chollet prove, among other things, a Whitney extension theorem, for jets on a compact subset E of ℝⁿ, in the case of intersections of non-quasi-analytic classes with moderate growth and a Łojasiewicz theorem in the regular situation. These intersections are included in the intersection of Gevrey classes. Here we prove an extension theorem in the case of more general intersections such that every -Whitney jet belongs to one of them. We also prove a linear extension theorem...
Factorization in some Fréchet algebras of differentiable functions