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: Functional AnalysisFunctional Analysis
by - Lancaster University
These lecture notes are an expanded version of a set written for a course given to final-year undergraduates at the University of Oxford. A thorough understanding of Banach and Hilbert spaces is a prerequisite for this material.
(11528 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.
(13752 views)
Book cover: Hilbert Space Methods for Partial Differential EquationsHilbert Space Methods for Partial Differential Equations
by - Pitman
Written for beginning graduate students of mathematics, engineering, and the physical sciences. It covers elements of Hilbert space, distributions and Sobolev spaces, boundary value problems, first order evolution equations, etc.
(15132 views)
Book cover: Global Analysis: Functional Analysis ExamplesGlobal Analysis: Functional Analysis Examples
by - BookBoon
From the table of contents: Metric spaces; Topology; Continuous mappings; Sequences; Semi-continuity; Connected sets, differentiation; Normed vector spaces and integral operators; Differentiable mappings; Complete metric spaces; and more.
(12146 views)