Results 81 to 90 of about 276 (127)

On Kernels of Convolution Operators in the Roumieu Spaces of Ultradifferentiable Functions

Владикавказский математический журнал
В работе исследуются операторы свертки в пространствах Румье ультрадифференцируемых функций нормального типа на числовой прямой. К данному классу пространств относятся известные классы Жевре. В качестве частных случаев операторы свертки включают в себя дифференциальные операторы бесконечного порядка с постоянными коэффициентами, дифференциально ...
openaire   +2 more sources

Polynomials on the space of ω-ultradifferentiable functions [PDF]

Tyt. z nagł.References p. 230.Dostępny również w formie drukowanej.ABSTRACT: The space of polynomials on the space Dω of -ultradifferentiable functions is represented as the direct sum of completions of symmetric tensor powers of D′ω. KEYWORDS: boundary
Grasela, Katarzyna.
core  

Surjectivity of convolution operators on spaces of ultradifferentiable functions of Roumieu type [PDF]

, 1997
Let $ε_{{ω}}(I)$ denote the space of all ω-ultradifferentiable functions of Roumieu type on an open interval I in ℝ. In the special case ω(t) = t we get the real-analytic functions on I.
Meyer, Thomas
core  

Ultradifferentiable CR Manifolds. [PDF]

J Geom Anal, 2020
Fürdös S.
europepmc   +1 more source

Ultraregular generalized functions of Colombeau type [PDF]

, 2009
General algebras of ultradifferentiable generalized functions satisfying some regularity assumptions are introduced. We give a microlocal analysis within these algebras related to the regularity type and the ultradifferentiable property.
BENMERIEM Khaled, BOUZAR Chikh
core   +1 more source

A Phragmén-Lindelöf Theorem via Proximate Orders, and the Propagation of Asymptotics. [PDF]

J Geom Anal, 2020
Jiménez-Garrido J, Sanz J, Schindl G.
europepmc   +1 more source

Existence and regularity of solutions of certain linear PDEs in spaces of ultradifferentiable functions. [PDF]

Este trabalho trata da existência e regularidade de soluções globais de equações diferenciais parciais de primeira ordem, definidas no toro n-dimensional Tn, Tn = Rn / (2πZn), no contexto de espaços de funções ultradiferenciáveis de tipo Beurling e ...
Vasconcellos, João Pedro Cardoso da Silva de
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Quasinormability and property $(\Omega)$ for spaces of smooth and ultradifferentiable vectors associated with Lie group representations [PDF]

We prove that the spaces of smooth and ultradifferentiable vectors associated with a representation of a real Lie group on a Fr\'{e}chet space $E$ are quasinormable if $E$ is so.
Huttener, Michiel, Debrouwere, Andreas, Vindas, Jasson   +2 more
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The Kotake-Narasimhan theorem in general ultradifferentiable classes. [PDF]

Rev R Acad Cienc Exactas Fis Nat A Mat
Fürdös S.
europepmc   +1 more source

Iterates of composition operators on global spaces of ultradifferentiable functions [PDF]

We analyze the behavior of the iterates of composition operators defined by polynomials acting on global classes of ultradifferentiable functions of Beurling type and being invariant under Fourier transform.
Fernández, Carmen, Ariza, Héctor, Galbis, Antonio   +2 more
core   +1 more source