Gómez Collado, María Del Carmen; Jorda Mora, Enrique; Jornet Casanova, David(Elsevier, 2016-04-15)
[EN] We study composition operators with holomorphic symbols defined on spaces of meromorphic functions, when endowed with their natural locally convex topology. First, we show that such operators are well-defined, continuous ...
[EN] We develop real Paley-Wiener theorems for classes S-omega of ultradifferentiable functions and related L-p-spaces in the spirit of Bang and Andersen for the Schwartz class. We introduce results of this type for the ...
[EN] 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 $\Sch$ and in the ...
[EN] We consider the spaces of ultradifferentiable functions S as introduced by Bjorck (and its dual S) and we use time-frequency analysis to define a suitable wave front set in this setting and obtain several applications: ...
We prove the following inclusion WF*(u)⊂ WF*(Pu)∪ Σ, u∈ε′* (Ω) where WF* denotes the non-quasianalytic Beurling or Roumieu wave front set, Ω is an open subset of R{double-struck} n, P is a linear partial differential ...
We introduce the wave front set WF*P(u) with respect to the iterates of a hypoelliptic linear partial differential operator with constant coefficients of a classical distribution u is an element of D' (Omega) in an open ...