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dc.contributor.advisorCastellini, Gabriele
dc.contributor.authorAuccahuallpa-Fernández, Roxana
dc.date.accessioned2019-04-15T15:50:40Z
dc.date.available2019-04-15T15:50:40Z
dc.date.issued2008
dc.identifier.urihttps://hdl.handle.net/handle/20.500.11801/1968
dc.description.abstractEn este trabajo se discute el problema del producto de distribuciones. Se presenta el resultado de imposibilidad de Schwartz y varias definiciones del producto de distribuciones.Se da la construcción del álgebra de Colombeau en R y la relación entre el producto en este álgebra y los productos modelos. Se aclara sobre los productos distribucionales de funciones relacionadas a funciones localmente integrables basándose en los teoremas conocidos en la literatura. Luego utilizando los métodos de transformada de Fourier se obtienen fórmulas generales que relacionan los productos de distribuciones especiales llamadas Valores Principales, deltas de Dirac y sus derivadas.en_US
dc.description.abstractIn this work we discuss the problem of a product of distributions. We present the result of impossibility of Schwartz and various definitions of a product of distributions. The construction of algebra of Colombeau and the relationship between the product in this algebra and the model products are provided. A clarification of the distributional product of functions related to locally integrable functions, based on the known in the literature theorems, is given. Finally, the general formulas relating the products of distributions called Principal Values, Dirac’s deltas and their derivatives are obtained by Fourier transform method.en_US
dc.language.isoSpanishen_US
dc.subjectResultado de imposibilidad de Schwartzen_US
dc.titleÁlgebras de Colombeau y multiplicación de distribucionesen_US
dc.typeThesisen_US
dc.rights.licenseAll rights reserveden_US
dc.rights.holder(c) 2008 Roxana Auccahuallpa-Fernándezen_US
dc.contributor.committeeBarety, Julio E.
dc.contributor.committeeRózga, Krzysztof
dc.contributor.representativeQuintana-Díaz, Julio
thesis.degree.levelM.S.en_US
thesis.degree.disciplinePure Mathematicsen_US
dc.contributor.collegeCollege of Arts and Sciences - Sciencesen_US
dc.contributor.departmentDepartment of Mathematicsen_US
dc.description.graduationYear2008en_US


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