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: Integral OperatorsIntegral Operators
by - 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.
(11798 views)
Book cover: Functional AnalysisFunctional Analysis
by - arXiv
Notes from a course which covered themes in functional analysis and operator theory, with an emphasis on topics of special relevance to such applications as representation theory, harmonic analysis, mathematical physics, and stochastic integration.
(11965 views)
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.
(12665 views)
Book cover: Operators on Hilbert SpaceOperators on Hilbert Space
by - King's College London
These are notes for a King's College course to fourth year undergraduates and MSc students. They cover the theoretical development of operators on Hilbert space up to the spectral theorem for bounded selfadjoint operators.
(9090 views)