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Real Analysis: Measures, Integrals and Applications

Real Analysis: Measures, Integrals and Applications

Paperback

Series: Universitext

General MathematicsGeometry

ISBN10: 1447151216
ISBN13: 9781447151210
Publisher: Springer Nature
Published: Jun 28 2013
Pages: 772
Weight: 2.41
Height: 1.58 Width: 6.14 Depth: 9.21
Language: English

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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