ETD

Digital archive of theses discussed at the University of Pisa

 

Thesis etd-06142018-105351


Thesis type
Tesi di laurea magistrale
Author
QUILICI, OMAR
URN
etd-06142018-105351
Thesis title
Structures of Homogeneous Groups and Intrinsic Differentiability
Department
MATEMATICA
Course of study
MATEMATICA
Supervisors
relatore Prof. Magnani, Valentino
Keywords
  • stratified groups
  • partial differentiability
  • intrinsic differentiability
  • homogeneous groups
  • h-differentiability
  • distributional derivatives
  • Taylor inequality
  • Taylor polynomials
Graduation session start date
13/07/2018
Availability
Withheld
Release date
13/07/2088
Summary
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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