**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

**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.

(

**7132**views)

**Integral Operators**

by

**Leif Mejlbro**-

**BookBoon**

Examples of Hilbert-Smith operators and other types of integral operators, Hilbert Schmidt norm, Volterra integral operator, Cauchy-Schwarz inequality, Hoelder inequality, iterated kernels, Hermitian kernel, and much more.

(

**9718**views)

**Global Analysis: Functional Analysis Examples**

by

**Leif Mejlbro**-

**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.

(

**10587**views)

**Nonlinear Functional Analysis**

by

**Gerald Teschl**-

**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.

(

**12125**views)