Lectures on Topics in Analysis

Lectures on Topics in Analysis

Lectures on Topics in Analysis
by Raghavan Narasimhan

Publisher: Tata Institute of Fundamental Research 1965
ISBN/ASIN: B0006C27TY
Number of pages: 205

Description:
Topics covered: Differentiable functions in Rn; Manifolds; Vector bundles; Linear differential operators; Cauchy Kovalevski Theorem; Fourier transforms, Plancherel's theorem; Sobolev spaces Hm,p; Elliptic differential operators; etc.

Download or read it online here:
Download link
(1MB, PDF)

Similar books

Theory of the IntegralTheory of the Integral
by Stanislaw Saks - Polish Mathematical Society
Covering all the standard topics, the author begins with a discussion of the integral in an abstract space, additive classes of sets, measurable functions, and integration of sequences of functions. Succeeding chapters cover Caratheodory measure.
(7775 views)
Short introduction to Nonstandard AnalysisShort introduction to Nonstandard Analysis
by E. E. Rosinger - arXiv
These notes offer a short and rigorous introduction to Nostandard Analysis, mainly aimed to reach to a presentation of the basics of Loeb integration, and in particular, Loeb measures. The Abraham Robinson version of Nostandard Analysis is pursued.
(6333 views)
Introduction to AnalysisIntroduction to Analysis
by Ray Mayer - Reed College
Contents: Notation, Undefined Concepts, Examples; Fields; Induction and Integers; Complexification of a Field; Real Numbers; Complex Numbers; Complex Sequences; Continuity; Properties of Continuous Functions; Derivative; Infinite Series; etc.
(861 views)
Lectures on Disintegration of MeasuresLectures on Disintegration of Measures
by L. Schwartz - Tata Institute of Fundamental Research
These Notes cover I) disintegration of a measure with respect to a single sigma-algebra, and in part II, measure valued supermartingales and regular disintegration of a measure with respect to an increasing right continuous family of sigma-algebras.
(4185 views)