Division of tempered distributions by polynomials. / Divisão de distribuições temperadas por polinômios.

AUTOR(ES)

Mariana Smit Vega Garcia

DATA DE PUBLICAÇÃO

2008

RESUMO

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 Extension Theorem) are discussed in detail. As a consequence of this theorem, it follows that every non zero partial diffe\-rencial operator with constant coefficients has a tempered fundamental solution.

ASSUNTO(S)

distribuições division polinômios divisão tempered distributions. distribuições temperadas polynomials distributions

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