Pseudodifferential operators on non-quasianalytic classes of Beurling type

• Autorzy: C. Fernández , A. Galbis , D. Jornet
• Języki publikacji: EN

Abstrakty

EN

We introduce pseudodifferential operators (of infinite order) in the framework of non-quasianalytic classes of Beurling type. We prove that such an operator with (distributional) kernel in a given Beurling class $𝓓 '_{(ω)}$ is pseudo-local and can be locally decomposed, modulo a smoothing operator, as the composition of a pseudodifferential operator of finite order and an ultradifferential operator with constant coefficients in the sense of Komatsu, both operators with kernel in the same class $𝓓 '_{(ω)}$. We also develop the corresponding symbolic calculus.

Kategorie tematyczne

• 47G30: Pseudodifferential operators
• 46E10: Topological linear spaces of continuous, differentiable or analytic functions
• 46F05: Topological linear spaces of test functions, distributions and ultradistributions
• 35S05: Pseudodifferential operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2005
• Tom: 167
• Numer: 2
• Strony: 99-131

Daty

wydano

2005

Twórcy

autor

C. Fernández

• Departamento de Análisis Matemático, Universidad de Valencia, Doctor Moliner 50, 46100 Burjasot (Valencia), Spain

autor

A. Galbis

• Departamento de Análisis Matemático, Universidad de Valencia, Doctor Moliner 50, 46100 Burjasot (Valencia), Spain

autor

D. Jornet

• Departamento de Matemática Aplicada, ETSI Telecomunicación, Universidad Politécnica de Valencia, E-46071 Valencia, Spain

Identyfikatory

DOI

10.4064/sm167-2-1