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Listar por autor "Jornet Casanova, David"

Mostrando ítems 1-20 de 27

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A characterization of the wave front set defined by the iterates of an operator with constant coefficients

Boiti, Chiara; Jornet Casanova, David (Springer-Verlag, 2017)

[EN] We characterize the wave front set WF*P (u) with respect to the iterates of a linear partial differential operator with constant coefficients of a classical distribution u is an element of D '(Omega), Omega an open ...
A Note on Supercyclic Operators in Locally Convex Spaces

Albanese, Angela A.; Jornet Casanova, David (Springer-Verlag, 2019-10)

[EN] We treat some questions related to supercyclicity of continuous linear operators when acting in locally convex spaces. We extend results of Ansari and Bourdon and consider doubly power bounded operators in this general ...
A simple proof of Kotake-Narasimhan theorem in some classes of ultradifferentiable functions

Boiti, Chiara; Jornet Casanova, David (Springer, 2017)

[EN] We give a simple proof of a general theorem of Kotake-Narasimhan for elliptic operators in the setting of ultradifferentiable functions in the sense of Braun, Meise and Taylor. We follow the ideas of Komatsu. Based ...
Compact weighted composition operators on spaces of holomorphic functions on Banach spaces

Bonet Solves, José Antonio; Jornet Casanova, David; Santacreu, Daniel; Sevilla Peris, Pablo (Theta Foundation, 2023)

[EN] Given an infinite dimensional Banach space X and its open unit ball B , we study when the weighted composition operator C ,l, ,p is compact in the space of all bounded analytic functions H & DEG;& DEG;(B) , and when ...
Composition Operators on Classes of Holomorphic Functions on Banach Spaces

Santacreu Ferra, Daniel (Universitat Politècnica de València, 2022-09-05)

[ES] El objetivo principal de esta tesis es el estudio de diferentes propiedades (principalmente ergódicas) de operadores de composición y de composición ponderados actuando en espacios de funciones holomorfas definidas ...
Dissipative operators and additive perturbations in locally convex spaces

Albanese, Angela A.; Jornet Casanova, David (John Wiley & Sons, 2016-06)

[EN] Let (A, D(A)) be a densely defined operator on a Banach space X. Characterizations of when (A, D(A)) generates a C-0-semigroup on X are known. The famous result of Lumer and Phillips states that it is so if and only ...
Fredholm Weighted Composition Operators on Weighted Banach Spaces of Analytic Functions of Type H-infinity

Gómez Collado, María del Carmen; Jornet Casanova, David (Hindawi Publishing Corporation, 2015)

We study Fredholm (weighted) composition operators between general weighted Banach spaces of analytic functions on the open unit disc with sup-norms.
Global pseudodifferential operators in spaces of ultradifferentiable functions

Asensio López, Vicente (Universitat Politècnica de València, 2021-10-18)

[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 ...
Global pseudodifferential operators of infinite order in classes of ultradifferentiable functions

Asensio, Vicente; Jornet Casanova, David (Springer-Verlag, 2019-10)

[EN] We develop a theory of pseudodifferential operators of infinite order for the global classes S. of ultradifferentiable functions in the sense of Bjorck, following the previous ideas given by Prangoski for ultradifferentiable ...
Global regularity in ultradifferentiable classes

Albanese, Angela A.; Jornet Casanova, David (Springer Verlag (Germany), 2014)

Se estudia la w-regularidad de soluciones de ciertos operadores que son globalmente hipoelípticos en el toro N-dimensional. Se aplican estos resultados para probar la w-regularidad global de ciertas clases de sublaplacianos. ...
Global Wave Front Sets in Ultradifferentiable Classes

Asensio López, Vicente; Boiti, Chiara; Jornet Casanova, David; Oliaro, Alessandro (Springer-Verlag, 2022-04)

[EN] We introduce a global wave front set using Weyl quantizations of pseudodifferential operators of infinite order in the ultradifferentiable setting. We see that in many cases it coincides with the Gabor wave front set ...
Mean ergodic composition operators in spaces of homogeneous polynomials

Jornet Casanova, David; Santacreu, Daniel; Sevilla Peris, Pablo (Elsevier, 2020-03-01)

[EN] We study some dynamical properties of composition operators defined on the space P(^m X) of m-homogeneous polynomials on a Banach space X when P(^m X) is endowed with two different topologies: the one of uniform ...
Mean ergodic composition operators on Banach spaces of holomorphic functions

Beltrán Meneu, María José; Gómez Collado, María Del Carmen; Jorda Mora, Enrique; Jornet Casanova, David (Elsevier, 2016)

[EN] Given a symbol cc, i.e., a holomorphic endomorphism of the unit disc, we consider the composition operator C-phi(f) = f circle phi defined on the Banach spaces of holomorphic functions A(D) and H-infinity(D). We obtain ...
Mean ergodic composition operators on spaces of holomorphic functions on a Banach space

Jornet Casanova, David; Santacreu, Daniel; Sevilla Peris, Pablo (Elsevier, 2021-08-15)

[EN] We study mean ergodic composition operators on infinite dimensional spaces of holomorphic functions of different types when defined on the unit ball of a Banach or a Hilbert space: that of all holomorphic functions, ...
Mean ergodicity of weighted composition operators on spaces of holomorphic functions

Beltrán Meneu, María José; Gómez Collado, María Del Carmen; Jorda Mora, Enrique; Jornet Casanova, David (Elsevier, 2016)

[EN] Let phi be a self-map of the unit disc D of the complex plane C and let psi be a holomorphic function on D. We investigate the mean ergodicity and power boundedness of the weighted composition operator C-phi,C-psi(f) ...
Mean-Dispersion Principles and the Wigner Transform

Boiti, Chiara; Jornet Casanova, David; Oliaro, Alessandro (Springer-Verlag, 2024-04-06)

[EN] Given a function f E L2, we consider means and variances associated to f and its Fourier transform , and explore their relations with the Wigner transform W(f), obtaining, as particular cases, a simple new proof of ...
Nuclear global spaces of ultradifferentiable functions in the matrix weighted setting

Boiti, Chiara; Jornet Casanova, David; Oliaro, Alessandro; Schindl, Gerhard (Duke University Press, 2020-10-19)

[EN] 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 ...
Nuclear weighted composition operators on weighted Banach spaces of analytic functions

Bonet Solves, José Antonio; Gómez Collado, María Del Carmen; Jorda Mora, Enrique; Jornet Casanova, David (American Mathematical Society, 2021-01)

[EN] We characterize nuclear weighted composition operators W psi,phi f = psi(f circle phi) on weighted Banach spaces of analytic functions with sup-norms. Consequences about nuclear composition operators on Bloch type ...
Nuclearity of rapidly decreasing ultradifferentiable functions and time-frequency analysis

Boiti, Chiara; Jornet Casanova, David; Oliaro, Alessandro; Schindl, Gerhard (Springer-Verlag, 2021-05)

[EN] We use techniques from time-frequency analysis to show that the space S(omega )of rapidly decreasing omega-ultradifferentiable functions is nuclear for every weight function omega(t) = o(t) as t tends to infinity. ...
Operadores pseudodiferenciales en clases no cuasianalíticas de tipo Beurling

Jornet Casanova, David (Universitat Politècnica de València, 2015-09-22)

Los operadores pseudodiferenciales son generalizaciones de los operadores integrales singulares y de los operadores en derivadas parciales con coeficientes variables. A cada operador le corresponde un símbolo, que es una ...