Logo

Shape Analysis, Lebesgue Integration and Absolute Continuity Connections

Shape Analysis, Lebesgue Integration and Absolute Continuity Connections
by

Publisher: arXiv.org
Number of pages: 82

Description:
As shape analysis of the form presented in Srivastava and Klassen's textbook 'Functional and Shape Data Analysis' is intricately related to Lebesgue integration and absolute continuity, it is advantageous to have a good grasp of the latter two notions. Accordingly, in these notes we review basic concepts and results about Lebesgue integration and absolute continuity.

Home page url

Download or read it online for free here:
Download link
(960KB, PDF)

Similar books

Book cover: Introduction to Functional AnalysisIntroduction to Functional Analysis
by - University of Leeds
Contents: Fourier Series; Basics of Linear Spaces; Orthogonality; Fourier Analysis; Duality of Linear Spaces; Operators; Spectral Theory; Compactness; The spectral theorem for compact normal operators; Applications to integral equations; etc.
(13205 views)
Book cover: Linear Functional AnalysisLinear Functional Analysis
by - Macquarie University
An introduction to the basic ideas in linear functional analysis: metric spaces; connectedness, completeness and compactness; normed vector spaces; inner product spaces; orthogonal expansions; linear functionals; linear transformations; etc.
(15925 views)
Book cover: Notes on Operator AlgebrasNotes on Operator Algebras
by - Los Alamos National Laboratory
Lecture notes on operator algebras. From the table of contents: Structure Theory I; von Neumann Algebras; States and Representations; Structure Theory II; Matrices; Automorphism Groups; Extensions; K-Theory; Nuclear C* Algebras.
(11122 views)
Book cover: Nonlinear Functional AnalysisNonlinear Functional Analysis
by - University of Vienna
This manuscript provides a brief introduction to nonlinear functional analysis. As an application we consider partial differential equations and prove existence and uniqueness for solutions of the stationary Navier-Stokes equation.
(14665 views)