Tempered Distributions
Mostrando 1-3 de 3 artigos, teses e dissertações.
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1. Division of tempered distributions by polynomials. / Divisão de distribuições temperadas por polinômios.
This dissertation presents a thorough proof of L. Hörmanders theorem on the division of (tempered) distributions by polynomials. The case n=1 is discussed in detail and serves as a motivation for the techniques that are utilised in the general case. All the prerequisites for Hörmanders proof (the Theorems of Seidenberg-Tarski, of Puiseux and Whitneys Exten
Publicado em: 2008
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2. Introduction to the ordinary differential equation in the framework of Colombeaus tempered generalized functions / Introdução às equações diferenciais ordinárias no contexto das funções generalizadas temperadas de Colombeau
The objective of this work is to study, under which conditions, the initial value problem associated with a first-order ordinary differential equation, in the framework of Colombeaus tempered generalized functions, it admits at least one (or only one) generalized solution or generalized tempered solution. For this purpose we studied some properties of the ge
Publicado em: 2008
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3. Tempered distributions and stochastic calculus / Distribuições temperadas e calculo estocastico
In this work, we will prove an Itô formula for tempered distributions, that is, for a distribution F in S0. To achieve this, we will introduce the theory of tempered distributions and of stochastic calculus that will be needed.
Publicado em: 2008