Book:Christian Berg/Mål- og integralteori

Christian Berg and Tage Gutmann Madsen: Mål- og integralteori

Published $\text {2001}$, Universitetsbogladen

ISBN 87-7834-424-7

This book is based on a set of notes originally written in $1970$ by Tage Gutmann Madsen to be used at the basic course about measure theory at the University of Copenhagen.

Subject Matter

• Measure Theory

Contents

i: Indledning

0: Regning med $\pm \infty$

1: Målelige mængder

2: Målelige afbildninger

3: Mål

4: Integral

5: Lebesgue målet i $\R^k$

6: Produktmål

7: Funktionsrummene $\LL_p$

8: Fourier transformation

Appendix

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The book can be downloaded as a PDF file from the University of Copenhagen for free.

Download the book from here.