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Global pseudodifferential operators in spaces of ultradifferentiable functions

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Global pseudodifferential operators in spaces of ultradifferentiable functions

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Asensio López, V. (2021). Global pseudodifferential operators in spaces of ultradifferentiable functions [Tesis doctoral]. Universitat Politècnica de València. https://doi.org/10.4995/Thesis/10251/174847

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Title: Global pseudodifferential operators in spaces of ultradifferentiable functions
Author: Asensio López, Vicente
Director(s): Jornet Casanova, David
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Read date / Event date:
2021-09-16
Issued date:
Abstract:
[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 ...[+]


[CAT] En aquesta tesi estudiem operadors pseudodiferencials, que són operadors integrals de la forma f 7→ ∫ Rd (∫ Rd ei(x−y)·ξa(x,y,ξ)f(y)dy)dξ, en les classes globals de funcions ultradiferenciables de tipus Beurling ...[+]


[EN] In this thesis we study pseudodifferential operators, which are integral operators of the form f 7→ ∫ Rd (∫ Rd ei(x−y)·ξa(x,y,ξ)f(y)dy)dξ, in the global class of ultradifferentiable functions of Beurling type Sω(Rd) ...[+]
Subjects: Operadores pseudodiferenciales , Ultradistribuciones , Clases ultradiferenciables globales , Clases no cuasianalíticas , Cuantizaciones , Hipoelipticidad , Frente de onda , Global ultradifferentiable classes , Pseudodifferential operator , Ultradistributions , Non-quasianalytic , Quantizations , Hypoellipticity , Global wave front set , Non-quasianalytic classes
Copyrigths: Reserva de todos los derechos
DOI: 10.4995/Thesis/10251/174847
Publisher:
Universitat Politècnica de València
Type: Tesis doctoral

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