Results 31 to 40 of about 152 (97)

Differentiation Operator in the Beurling Space of Ultradifferentiable Functions of Normal Type on an Interval

Lobachevskii Journal of Mathematics, 2022
In this paper we study closed subspaces of ultradifferentiable functions which are invariant under the differentiation operator. We propose a version of spectral synthesis which takes into account the presence of non-trivial differentiation invariant subspaces containing no exponential monomials.
openaire   +3 more sources

Quantizations and Global Hypoellipticity for Pseudodifferential Operators of Infinite Order in Classes of Ultradifferentiable Functions

Mediterranean Journal of Mathematics, 2022
We study the change of quantization for a class of global pseudodifferential operators of infinite order in the setting of ultradifferentiable functions of Beurling type. The composition of different quantizations as well as the transpose of a quantization are also analysed, with applications to the Weyl calculus.
openaire   +4 more sources

Iterates of composition operators on global spaces of ultradifferentiable functions

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
Abstract We analyze the behaviour 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. We characterize the polynomials $$\psi $$ ψ
Héctor Ariza, Carmen Fernández, Antonio Galbis   +2 more
openaire   +2 more sources

Regularity of partial differential operators in ultradifferentiable spaces and Wigner type transforms

Journal of Mathematical Analysis and Applications, 2017
We study the behaviour of linear partial differential operators with polynomial coefficients via a Wigner type transform. In particular, we obtain some results of regularity in the Schwartz space $\mathcal S$ and in the space ${\mathcal S}_ω$ as introduced by Björck for weight functions $ω$. Several examples are discussed in this new setting.
Chiara Boiti, David Jornet, OLIARO, Alessandro   +2 more
openaire   +3 more sources

Ultradifferentiable Fundamental Kernels of Linear Partial Differential Operators on Non-quasianalytic Classes of Roumieu Type

Publications of the Research Institute for Mathematical Sciences, 2007
Let P be a linear partial differential operator with coeffcients in the Roumieu class \mathcal E_{\{ω\}}(Ω) . We prove that if
ALBANESE, Angela Anna, BONET J.
openaire   +2 more sources

On the Gevrey ultradifferentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator on the real axis [PDF]

Open Mathematics, 2020
Abstract Given the abstract evolution equation y ′ ( t )
openaire   +3 more sources

Laplace transform in spaces of ultradistributions

, 2013
The Laplace transform in Komatsu ultradistributions is considered. Also, conditions are given under which an analytic function is a Laplace transformation of an ultradistribution.Comment: To appear in FILOMAT.
Prangoski, Bojan
core   +1 more source

O nekim klasama multiplikatora i semigrupana prostorima ultradistribucija i hiperfunkcija [PDF]

, 2014
We are study the spaces of convolutors and multipliers in the spaces of tempered ultradistributions. There given theorems which gives us the characteri-zation of all the elements which belongs to spaces of convolutors and multipliers.
Velinov, Daniel
core   +4 more sources

Konvolucija i lokalizacijski operatori u ultradistribucionim prostorima [PDF]

, 2012
We investigate the Laplace transform in Komatsu ultradistributions and give conditions under which an analytic function is a Laplace transformation of an ultradistribution.
Prangoski, Bojan
core   +5 more sources

Ultradifferentiable classes of entire functions. [PDF]

Adv Oper Theory, 2023
Nenning DN, Schindl G.
europepmc   +1 more source