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Master's Dissertation
DOI
10.11606/D.45.2017.tde-02092017-111745
Document
Author
Full name
Antonio Victor da Silva Junior
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2017
Supervisor
Committee
Cordaro, Paulo Domingos (President)
Lopes, Pedro Tavares Paes
Santos, Luís Antônio Carvalho dos
Title in Portuguese
Hiperfunções no espaço euclidiano e no toro N-dimensional
Keywords in Portuguese
Dualidade de Serre
Hiperfunções
Regularidade analítica global
Abstract in Portuguese
Apresentamos uma construção para a teoria das hiperfunções no espaço euclidiano seguindo a abordagem de André Martineau baseada em funcionais analíticos e aplicando um teorema de dualidade de Jean-Pierre Serre. Estudamos também o teorema de divisão de hiperfunções por funções reais-analíticas, provado em Kantor e Schapira (1971). No último capítulo, desenvolvemos alguns aspectos da teoria das hiperfunções no toro.
Title in English
Hyperfunctions on the Euclidean space and on the N-dimensional torus
Keywords in English
Global analytic regularity
Hyperfunctions
Serre's duality
Abstract in English
We present the hyperfunction theory on the Euclidean space following André Martineau's approach based on analytic functionals and a duality theorem due to Jean- Pierre Serre. We also study a division theorem proved in Kantor and Schapira (1971). In the last chapter, we develop some aspects of hyperfunction theory on the torus.
 
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Diss_Hiperfuncoes.pdf (916.89 Kbytes)
Publishing Date
2017-11-16
 
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