All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Page 1 Next

Displaying 1 – 20 of 47

Showing per page

A general approximation theorem of Whitney type.

Michael Langenbruch (2003)

RACSAM

We show that Whitney?s approximation theorem holds in a general setting including spaces of (ultra)differentiable functions and ultradistributions. This is used to obtain real analytic modifications for differentiable functions including optimal estimates. Finally, a surjectivity criterion for continuous linear operators between Fréchet sheaves is deduced, which can be applied to the boundary value problem for holomorphic functions and to convolution operators in spaces of ultradifferentiable functions...

A Phragmén-Lindelöf type quasi-analyticity principle

Grzegorz Łysik (1997)

Studia Mathematica

Quasi-analyticity theorems of Phragmén-Lindelöf type for holomorphic functions of exponential type on a half plane are stated and proved. Spaces of Laplace distributions (ultradistributions) on ℝ are studied and their boundary value representation is given. A generalization of the Painlevé theorem is proved.

Convolution equations in the space of Laplace distributions

Maria E. Pliś (1998)

Annales Polonici Mathematici

A formal solution of a nonlinear equation P(D)u = g(u) in 2 variables is constructed using the Laplace transformation and a convolution equation. We assume some conditions on the characteristic set Char P.

Décomposition microlocale analytique des distributions

G. Bengel, Pierre Schapira (1979)

Annales de l'institut Fourier

Nous dirons qu’un faisceau de groupes abéliens ℱ sur un espace topologique X est souple si, Ω étant un ouvert de X , F 1 et F 2 des fermés de Ω , toute section de ℱ sur Ω à support dans F 1 ∪ F 2 est somme de sections à support dans F 1 et F 2 . Soit M une variété analytique réelle, S * M son fibré cotangent en sphères, C f le faisceau sur S * M des microfonctions qui proviennent localement sur S * M , de distributions. Nous montrons que le faisceau C f est souple. En particulier le faisceau 𝒟 ' / 𝒜 sur M , quotient des distributions par...

Currently displaying 1 – 20 of 47

Page 1 Next