Real Analysis: Measures, Integrals and Applications

✍ Scribed by Boris Makarov;Anatolii Podkorytov

Publisher: Springer London
Year: 2013
Tongue: English
Leaves: 772
Category: Library

No coin nor oath required. For personal study only.

✦ Table of Contents

Measure.- The Lebesgue Model.- Measurable Functions.- The Integral.- The Product Measure.- Change of Variables in an Integral.- Integrals Dependent on a Parameter.- Surface Integrals.- Approximation and Convolution of the Space.- Fourier Series and the Fourier Transform.- Charges. The Radon-Nikodym Theory.- Integral Representation of Linear Functionals.- Appendices.

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