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Tesi etd-06142018-105351


Thesis type
Tesi di laurea magistrale
Author
QUILICI, OMAR
URN
etd-06142018-105351
Title
Structures of Homogeneous Groups and Intrinsic Differentiability
Struttura
MATEMATICA
Corso di studi
MATEMATICA
Supervisors
relatore Prof. Magnani, Valentino
Parole chiave
  • Taylor inequality
  • Taylor polynomials
  • stratified groups
  • homogeneous groups
  • h-differentiability
  • intrinsic differentiability
  • partial differentiability
  • distributional derivatives
Data inizio appello
13/07/2018;
Consultabilità
Secretata d'ufficio
Riassunto analitico
The purpose of this thesis is to provide a concise and rigorous overview of the algebraic and metric structures of homogeneous and stratified groups, in order to develop some aspects of the theory of intrinsic differentiability on these spaces. We will define three notions of differentiability and we will give some characterizations, both in homogeneous groups and stratified groups.
We will then define the class of intrinsic regular functions and their intrinsic Taylor polynomials, showing, as an application, the corresponding Taylor formula.
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