Results 1 to 10 of about 276 (127)
Ultradifferentiable classes of entire functions. [PDF]
Adv Oper 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 DN, Schindl G.
europepmc +7 more sources
Generic results in classes of ultradifferentiable functions [PDF]
Journal of Mathematical Analysis and Applications, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Celine Esser
exaly +6 more sources
Ultradifferentiable functions via the Laguerre operator [PDF]
Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: MatematicasWe define and characterize ultradifferentiable functions and their corresponding ultradistributions on $\RR^d_+$ using iterates of the Laguerre operator. The characterization is based on decay or growth conditions of the coefficients in their Laguerre series expansion.
Smiljana Jaksic +2 more
exaly +5 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 +4 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 $\omega$-ultradifferentiable functions in the sense of Braun, Meise and Taylor, for non-quasianalytic weight functions $\omega$.
BOITI, Chiara, Elisabetta Gallucci
core +11 more sources
Ultradifferentiable Chevalley theorems and isotropic functions [PDF]
Annali Di Matematica Pura Ed Applicata, 2020 12 ...
Armin Rainer, Rainer Armin
exaly +3 more sources
On the conjugate weight function and ultradifferentiable classes of entire functions. [PDF]
Adv Oper TheoryWe 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 regularity requirements. Therefore,
Schindl G.
europepmc +3 more sources
Holomorphic approximation of ultradifferentiable functions
Mathematische Annalen, 1981 Introduct ion Let S be a closed subset of some open set in Cn and denote by dT(S) the space of germs of holomorphic functions on (a neighborhood of) S. For a space F(S) of tEvalued (continuous, differentiable etc.) functions on S [containing t~(S)] the problem of holomorphic approximation consists of finding conditions to ensure that the natural ...
exaly +2 more sources
Extended Gevrey Regularity via Weight Matrices
Axioms, 2022 The main aim of this paper is to compare two recent approaches for investigating the interspace between the union of Gevrey spaces Gt(U) and the space of smooth functions C∞(U). The first approach in the style of Komatsu is based on the properties of two
Nenad Teofanov, Filip Tomić
doaj +1 more source
Functions with Ultradifferentiable Powers [PDF]
Results in Mathematics, 2020 We study the regularity of smooth functions $f$ defined on an open set of $\mathbb{R}^n$ and such that, for certain integers $p\geq 2$, the powers $f^p :x\mapsto (f(x))^p$ belong to a Denjoy-Carleman class $\mathcal{C}_M$ associated with a suitable weight sequence $M$. Our main result is a statement analogous to a classic theorem of H.
openaire +3 more sources