Results 11 to 20 of about 146 (115)
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
A note on the barrelledness of weighted PLB-spaces of ultradifferentiable functions [PDF]
Zeitschrift für Analysis und ihre Anwendungen, 2023 In this note, we consider weighted PLB-spaces of ultradifferentiable functions defined via a weight function and a weight system, as introduced in our previous work (2022). We provide a complete characterization of when these spaces are ultrabornological and barrelled in terms of the defining weight system, thereby improving the ...
Debrouwere, Andreas, Neyt, Lenny
core +10 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 +2 more
core +6 more sources
Global pseudodifferential operators in spaces of ultradifferentiable functions [PDF]
, 2021 [ES] En esta tesis estudiamos operadores pseudodiferenciales, que son operadores integrales de la forma f 7→ ∫ Rd (∫ Rd ei(x−y)·ξa(x,y,ξ)f(y)dy)dξ, en las clases globales de funciones ultradiferenciables de tipo Beurling Sω(Rd) introducidas por Björck, cuando la función peso ω viene dada en el sentido de Braun, Meise y Taylor.
Asensio López, Vicente
openaire +4 more sources
Equality of Ultradifferentiable Classes by Means of Indices of Mixed O-regular Variation. [PDF]
Results Math, 2022 Producción CientíficaWe characterize the equality between ultradifferentiable function classes defined in terms of abstractly given weight matrices and in terms of the corresponding matrix of associated weight functions by using new growth indices. These
Jiménez-Garrido J, Sanz J, Schindl G.
europepmc +3 more sources
Construction of the log‐convex minorant of a sequence {Mα}α∈N0d$\lbrace M_\alpha \rbrace _{\alpha \in \mathbb {N}_0^d}$ [PDF]
Mathematische Nachrichten, Volume 298, Issue 2, Page 456-477, February 2025.Abstract We give a simple construction of the log‐convex minorant of a sequence {Mα}α∈N0d$\lbrace M_\alpha \rbrace _{\alpha \in \mathbb {N}_0^d}$ and consequently extend to the d$d$‐dimensional case the well‐known formula that relates a log‐convex sequence {Mp}p∈N0$\lbrace M_p\rbrace _{p\in \mathbb {N}_0}$ to its associated function ωM$\omega _M$, that
Chiara Boiti +3 more
wiley +2 more sources
Nonlinear Conditions for Ultradifferentiability. [PDF]
J Geom Anal, 2021 A remarkable theorem of Joris states that a function $f$ is $C^\infty$ if two relatively prime powers of $f$ are $C^\infty$. Recently, Thilliez showed that an analogous theorem holds in Denjoy--Carleman classes of Roumieu type.
Nenning DN, Rainer A, Schindl G.
europepmc +3 more sources
Spectrum of the Cesàro Operator on the Ultradifferentiable Function Spaces $\mathcal{E}_\omega(\mathbb{R}_+)$ [PDF]
, 2021 The aim of this paper is to investigate the continuity, spectrum and point spectrum, and the dynamical behaviour of the Cesàro averaging operator C on the ultradifferentiable function spaces $mathcal{E}_omega(mathbb{R}_+)$
Angela A. Albanese
core +1 more source
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
openaire +7 more sources
On Orlicz classes defined in terms of associated weight functions. [PDF]
Mon Hefte MathN-functions and their growth and regularity properties are crucial in order to introduce and study Orlicz classes and Orlicz spaces. We consider N-functions which are given in terms of so-called associated weight functions. These functions are frequently
Schindl G.
europepmc +3 more sources