Real and Functional Analysis: Third Edition: 142 - Rilegato

Lang, Serge

 
9780387940014: Real and Functional Analysis: Third Edition: 142

Sinossi

This book is meant as a text for a first year graduate course in analysis. Any standard course in undergraduate analysis will constitute sufficient preparation for its understanding, for instance, my Undergraduate Anal­ ysis. on Dirac sequence approximation and on Fourier analysis), and some material on functional analysis (e.g.

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Contenuti

I Sets.- II Topological Spaces.- III Continuous Functions on Compact Sets.- IV Banach Spaces.- V Hilbert Space.- VI The General Integral.- VII Duality and Representation Theorems.- VIII Some Applications of Integration.- IX Integration and Measures on Locally Compact Spaces.- X Riemann-Stieltjes Integral and Measure.- XI Distributions.- XII Integration on Locally Compact Groups.- XIII Differential Calculus.- XIV Inverse Mappings and Differential Equations.- XV The Open Mapping Theorem, Factor Spaces, and Duality.- XVI The Spectrum.- XVII Compact and Fredholm Operators.- XVIII Spectral Theorem for Bounded Hermltian Operators.- XIX Further Spectral Theorems.- XX Spectral Measures.- XXI Local Integration off Differential Forms.- XXII Manifolds.- XXIII Integration and Measures on Manifolds.- Table of Notation.

Product Description

Book by Lang Serge

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Altre edizioni note dello stesso titolo

9781461269380: Real and Functional Analysis: 142

Edizione in evidenza

ISBN 10:  1461269385 ISBN 13:  9781461269380
Casa editrice: Springer, 2012
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