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 ...
[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 ...
[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 ...
[EN] 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 ...
[EN] In this paper, we introduce inductive limits of the Fr & eacute;chet spaces l (p+), ces(p+),andd(p+)(1 <= p<infinity) and projective limits of the (LB)-spaces l(p-), ces(p-),andd(p-)(1<p <=infinity). After having ...
[EN] In this paper we introduce and study global wave front sets in terms of the t-Wigner transform in global ultradifferentiable classes of Beurling type modulated with weight functions in the sense of Braun, Meise, and ...