**Shape Analysis, Lebesgue Integration and Absolute Continuity Connections**

by Javier Bernal

**Publisher**: arXiv.org 2019**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.

Download or read it online for free here:

**Download link**

(960KB, PDF)

## Similar books

**Hilbert Space Methods for Partial Differential Equations**

by

**R. E. Showalter**-

**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.

(

**11328**views)

**Notes on Operator Algebras**

by

**G. Jungman**-

**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.

(

**7208**views)

**Lectures on Cyclic Homology**

by

**D. Husemoller**-

**Tata Institute of Fundamental Research**

Contents: Exact Couples and the Connes Exact Couple; Abelianization and Hochschild Homology; Cyclic Homology and the Connes Exact Couple; Cyclic Homology and Lie Algebra Homology; Mixed Complexes, the Connes Operator B; and more.

(

**5180**views)

**Fredholm Operators and Spectral Flow**

by

**Nils Waterstraat**-

**arXiv**

Fredholm operators are one of the most important classes of linear operators in mathematics. The aim of these notes is an essentially self-contained introduction to the spectral flow for paths of (generally unbounded) selfadjoint Fredholm operators.

(

**2825**views)