Real Analysis: Measures, Integrals and Applications

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.