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A simple proof of Kotake-Narasimhan theorem in some classes of ultradifferentiable functions

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A simple proof of Kotake-Narasimhan theorem in some classes of ultradifferentiable functions

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Boiti, C.; Jornet Casanova, D. (2017). A simple proof of Kotake-Narasimhan theorem in some classes of ultradifferentiable functions. Journal of Pseudo-Differential Operators and Applications. 8(2):297-317. https://doi.org/10.1007/s11868-016-0163-y

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Título: A simple proof of Kotake-Narasimhan theorem in some classes of ultradifferentiable functions
Autor: Boiti, Chiara Jornet Casanova, David
Entidad UPV: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Fecha difusión:
Resumen:
[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 ...[+]
Palabras clave: Iterates of an operator , Theorem of Kotake-Narasimhan , Ultradifferentiable functions
Derechos de uso: Reserva de todos los derechos
Fuente:
Journal of Pseudo-Differential Operators and Applications. (issn: 1662-9981 )
DOI: 10.1007/s11868-016-0163-y
Editorial:
Springer
Versión del editor: http://doi.org/10.1007/s11868-016-0163-y
Código del Proyecto:
info:eu-repo/grantAgreement/MINECO//MTM2013-43540-P/ES/METODOS DEL ANALISIS FUNCIONAL Y TEORIA DE OPERADORES/
Agradecimientos:
C. Boiti and D. Jornet were partially supported by the INdAM-GNAMPA Projects 2014 and 2015. D. Jornet was partially supported by MINECO, Project MTM2013-43540-P
Tipo: Artículo

References

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Boiti, C., Jornet, D.: The problem of iterates in some classes of ultradifferentiable functions. Oper. Theory Adv. Appl. Birkhauser Basel 245, 21–33 (2015)

Boiti, C., Jornet, D.: A characterization of the wave front set defined by the iterates of an operator with constant coefficients. arXiv:1412.4954

Boiti, C., Jornet, D., Juan-Huguet, J.: Wave front set with respect to the iterates of an operator with constant coefficients. Abstr. Appl. Anal. 2014, 1–17 Article ID 438716 (2014). doi: 10.1155/2014/438716

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