- -

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

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

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

Mostrar el registro sencillo del ítem

Ficheros en el ítem

Thumbnail
Nombre: Boiti-Jornet_Kota ...
Tamaño: 394.8Kb
Formato: PDF
Descripción: Versión del Autor.
Abrir
[Cerrado]
Nombre: Boiti-Jornet-Kota ...
Tamaño: 898.2Kb
Formato: PDF
Descripción: Versión editorial
Solicitar una copia al autor
dc.contributor.author Boiti, Chiara es_ES
dc.contributor.author Jornet Casanova, David es_ES
dc.date.accessioned 2018-09-17T07:34:33Z
dc.date.available 2018-09-17T07:34:33Z
dc.date.issued 2017 es_ES
dc.identifier.issn 1662-9981 es_ES
dc.identifier.uri http://hdl.handle.net/10251/107404
dc.description.abstract [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 on an example of Metivier, we also show that the ellipticity is a necessary condition for the theorem to be true. es_ES
dc.description.sponsorship 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 es_ES
dc.language Inglés es_ES
dc.publisher Springer es_ES
dc.relation.ispartof Journal of Pseudo-Differential Operators and Applications es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Iterates of an operator es_ES
dc.subject Theorem of Kotake-Narasimhan es_ES
dc.subject Ultradifferentiable functions es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title A simple proof of Kotake-Narasimhan theorem in some classes of ultradifferentiable functions es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s11868-016-0163-y es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2013-43540-P/ES/METODOS DEL ANALISIS FUNCIONAL Y TEORIA DE OPERADORES/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation 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 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://doi.org/10.1007/s11868-016-0163-y es_ES
dc.description.upvformatpinicio 297 es_ES
dc.description.upvformatpfin 317 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 8 es_ES
dc.description.issue 2 es_ES
dc.relation.pasarela S\351153 es_ES
dc.contributor.funder Ministerio de Economía, Industria y Competitividad es_ES
dc.description.references Boiti, C., Jornet, D.: The problem of iterates in some classes of ultradifferentiable functions. Oper. Theory Adv. Appl. Birkhauser Basel 245, 21–33 (2015) es_ES
dc.description.references Boiti, C., Jornet, D.: A characterization of the wave front set defined by the iterates of an operator with constant coefficients. arXiv:1412.4954 es_ES
dc.description.references 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 es_ES
dc.description.references Bolley, P., Camus, J., Mattera, C.: Analyticité microlocale et itérés d’operateurs hypoelliptiques. Séminaire Goulaouic-Schwartz, 1978–1979, Exp No. 13, École Polytech, Palaiseau es_ES
dc.description.references Bonet, J., Meise, R., Melikhov, S.N.: A comparison of two different ways of define classes of ultradifferentiable functions. Bull. Belg. Math. Soc. Simon Stevin 14, 425–444 (2007) es_ES
dc.description.references Braun, R.W., Meise, R., Taylor, B.A.: Ultradifferentiable functions and Fourier analysis. Result. Math. 17, 206–237 (1990) es_ES
dc.description.references Fernández, C., Galbis, A.: Superposition in classes of ultradifferentiable functions. Publ. Res. I Math. Sci. 42(2), 399–419 (2006) es_ES
dc.description.references Jornet Casanova, D.: Operadores Pseudodiferenciales en Clases no Casianalíticas de Tipo Beurling. Universitat Politècnica de València (2004). doi: 10.4995/Thesis/10251/54953 es_ES
dc.description.references Juan-Huguet, J.: Iterates and hypoellipticity of partial differential operators on non-quasianalytic classes. Integr. Equ. Oper. Theory 68, 263–286 (2010) es_ES
dc.description.references Juan-Huguet, J.: A Paley–Wiener type theorem for generalized non-quasianalytic classes. Stud. Math. 208(1), 31–46 (2012) es_ES
dc.description.references Komatsu, H.: A characterization of real analytic functions. Proc. Jpn Acad. 36, 90–93 (1960) es_ES
dc.description.references Komatsu, H.: On interior regularities of the solutions of principally elliptic systems of linear partial differential equations. J. Fac. Sci. Univ. Tokyo Sect. 1, 9, 141–164 (1961) es_ES
dc.description.references Komatsu, H.: A proof of Kotaké and Narasimhan’s theorem. Proc. Jpn Acad. 38(9), 615–618 (1962) es_ES
dc.description.references Kotake, T., Narasimhan, M.S.: Regularity theorems for fractional powers of a linear elliptic operator. Bull. Soc. Math. Fr. 90, 449–471 (1962) es_ES
dc.description.references Kumano-Go, H.: Pseudo-Differential Operators. The MIT Press, Cambridge, London (1982) es_ES
dc.description.references Langenbruch, M.: P-Funktionale und Randwerte zu hypoelliptischen Differentialoperatoren. Math. Ann. 239(1), 55–74 (1979) es_ES
dc.description.references Langenbruch, M.: Fortsetzung von Randwerten zu hypoelliptischen Differentialoperatoren und partielle Differentialgleichungen. J. Reine Angew. Math. 311/312, 57–79 (1979) es_ES
dc.description.references Langenbruch, M.: On the functional dimension of solution spaces of hypoelliptic partial differential operators. Math. Ann. 272, 217–229 (1985) es_ES
dc.description.references Langenbruch, M.: Bases in solution sheaves of systems of partial differential equations. J. Reine Angew. Math. 373, 1–36 (1987) es_ES
dc.description.references Lions, J.L., Magenes, E.: Problèmes aux limites non homogènes et applications, vol. 3. Dunod, Paris (1970) es_ES
dc.description.references Métivier, G.: Propriété des itérés et ellipticité. Commun. Part. Differ. Eq. 3(9), 827–876 (1978) es_ES
dc.description.references Nelson, E.: Analytic vectors. Ann. Math. 70, 572–615 (1959) es_ES
dc.description.references Newberger, E., Zielezny, Z.: The growth of hypoelliptic polynomials and Gevrey classes. Proc. Am. Math. Soc. 39(3), 547–552 (1973) es_ES
dc.description.references Oldrich, J.: Sulla regolarità delle soluzioni delle equazioni lineari ellittiche nelle classi di Beurling. (Italian) Boll. Un. Mat. Ital. (4) 2, 183–195 (1969) es_ES
dc.description.references Petzsche, H.-J., Vogt, D.: Almost analytic extension of ultradifferentiable functions and the boundary values of holomorphic functions. Math. Ann. 267(1), 17–35 (1984) es_ES


Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro sencillo del ítem