• JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
 
  Bookmark and Share
 
 
Master's Dissertation
DOI
10.11606/D.45.2016.tde-23082016-201051
Document
Author
Full name
Nicholas Braun Rodrigues
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2016
Supervisor
Committee
Cordaro, Paulo Domingos (President)
Barata, Joao Carlos Alves
Petronilho, Gerson
Title in Portuguese
Classes de Gevrey em grupos de Lie compactos e aplicações
Keywords in Portuguese
Classes de Gevrey
Grupos de Lie
Hipoelipticidade global
Abstract in Portuguese
Nesse trabalho estudamos as classes de Gevrey e as ultradistribuições em grupos de Lie compactos, que é a generalização natural do toro no contexto de análise de Fourier. Para tal utilizamos a teoria de vetores Gevrey. Fazemos a caracterização dessas classes via o comportamento da transformada de Fourier como em [DR14], utilizando o operador de Laplace-Beltrami associado à uma métrica específica. Por final fazemos uma aplicação dessa caracterização em um problema de hipoelipticidade global como em [GW73].
Title in English
Gevrey Classes on compact Lie groups and applications
Keywords in English
Gevrey class
Global hypoellipticity
Lie groups
Abstract in English
In this work we study the Gevrey class of functions and ultrudistribuitions on compact Lie groups, which is the most natural generalization of the torus in the context of Fourier analysis. For such we used the theory of Gevrey vectors. We get a characterization of such class by the behaviour of the Fourier transform, as in [DR14], using the Laplace-Beltrami operator associated to a specific metric. At the end we give an aplication of this characterization in a global hypoellipticity problem as in [GW73].
 
WARNING - Viewing this document is conditioned on your acceptance of the following terms of use:
This document is only for private use for research and teaching activities. Reproduction for commercial use is forbidden. This rights cover the whole data about this document as well as its contents. Any uses or copies of this document in whole or in part must include the author's name.
dissertacao.pdf (691.66 Kbytes)
Publishing Date
2016-09-20
 
WARNING: Learn what derived works are clicking here.
All rights of the thesis/dissertation are from the authors
CeTI-SC/STI
Digital Library of Theses and Dissertations of USP. Copyright © 2001-2020. All rights reserved.