Results 11 to 20 of about 3,122,419 (133)

Ultradifferentiable classes of entire functions [PDF]

Advances in Operator Theory, 2023
AbstractWe study classes of ultradifferentiable functions defined in terms of small weight sequences violating standard growth and regularity requirements. First, we show that such classes can be viewed as weighted spaces of entire functions for which the crucial weight is given by the associated weight function of the so-called conjugate weight ...
Nenning, David Nicolas, Schindl, Gerhard
core   +6 more sources

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

Opuscula Mathematica, 2007
The space of polynomials on the the space \(D_{\omega}\) of \(\omega\)-ultradifferentiable functions is represented as the direct sum of completions of symmetric tensor powers of \(D^{\prime}_{\omega}\).
Katarzyna Grasela
doaj   +3 more sources

Nuclear global spaces of ultradifferentiable functions in the matrix weighted setting [PDF]

Banach J Math Anal, 2020
We prove that the Hermite functions are an absolute Schauder basis for many global weighted spaces of ultradifferentiable functions in the matrix weighted setting and we determine also the corresponding coefficient spaces, thus extending previous work by
Schindl, Gerhard, Jornet Casanova, David, David Jornet, Oliaro, Alessandro, Gerhard Schindl, Chiara Boiti, Alessandro Oliaro, Boiti, Chiara, Jornet, David   +8 more
core   +2 more sources

The Kotake-Narasimhan Theorem in general ultradifferentiable classes [PDF]

Rev R Acad Cienc Exactas Fis Nat A Mat, 2023
We prove a Kotake-Narasimhan type theorem in general ultradifferentiable classes given by weight matrices. In doing so we simultaneously recover and partially generalize the known results for classes given by weight sequences and weight functions.
Fürdös, Stefan
core   +2 more sources

Weighted (PLB)-spaces of ultradifferentiable functions and multiplier spaces [PDF]

Monatshefte für Mathematik, 2022
We study weighted $(PLB)$-spaces of ultradifferentiable functions defined via a weight function (in the sense of Braun, Meise and Taylor) and a weight system. We characterize when such spaces are ultrabornological in terms of the defining weight system. This generalizes Grothendieck's classical result that the space $\mathcal{O}_M$ of slowly increasing
Debrouwere, Andreas, Neyt, Lenny
core   +9 more sources

The overdetermined Cauchy problem for $$\omega $$ ω -ultradifferentiable functions [PDF]

manuscripta mathematica, 2017
In this paper we study the Cauchy problem for overdetermined systems of linear partial differential operators with constant coefficients in some spaces of $ω$-ultradifferentiable functions in the sense of Braun, Meise and Taylor, for non-quasianalytic weight functions $ω$.
BOITI, Chiara, Elisabetta Gallucci
openaire   +5 more sources

On a class of ultradifferentiable functions

Novi Sad Journal of Mathematics, 2015
Summary: We introduce a class of ultradifferentiable functions which contains Gevrey functions and study its basic properties. In particular, we investigate the continuity properties of certain (ultra)differentiable operators. Finally, we discuss microlocal properties in appropriate dual spaces.
Pilipović, Stevan, Teofanov, Nenad, Tomić, Filip   +2 more
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On the conjugate weight function and ultradifferentiable classes of entire functions [PDF]

Advances in Operator Theory
Abstract We introduce the new notion of a conjugate weight function and provide a detailed study of this operation and its properties. Then we apply this knowledge to study classes of ultradifferentiable functions defined in terms of fast growing weight functions in the sense of Braun–Meise–Taylor and hence violating standard ...
Schindl G.
openaire   +5 more sources

On the Projective Description of Spaces of Ultradifferentiable Functions of Roumieu Type [PDF]

, 2021
We provide a projective description of the space $\mathcal{E}^{\{\mathfrak{M}\}}(Ω)$ of ultradifferentiable functions of Roumieu type, where $Ω$ is an arbitrary open set in $\mathbb{R}^d$ and $\mathfrak{M}$ is a weight matrix satisfying the analogue of Komatsu's condition $(M.2)'$.
Debrouwere, Andreas, Prangoski, Bojan, Vindas Diaz, Jasson   +2 more
core   +5 more sources

Iterates of systems of operators in spaces of $\omega $-ultradifferentiable functions [PDF]

Annales Polonici Mathematici, 2016
Given two systems $P=(P_j(D))_{j=1}^N$ and $Q=(Q_j(D))_{j=1}^M$ of linear partial differential operators with constant coefficients, we consider the spaces ${\mathcal E}_ω^P$ and ${\mathcal E}_ω^Q$ of $ω$-ultradifferentiable functions with respect to the iterates of the systems $P$ and $Q$ respectively.
BOITI, Chiara, Chaïli, Rachid, Mahrouz, Tayeb   +2 more
openaire   +3 more sources