Book
Real Analysis
ISBN : 9789811297380
Author : Shanzhen Lu
Publisher : World Scientific
Year : 2025
Language : English
Type : Book
Description : Can the limitations of the Riemann integral be overcome? What is its relationship with modern analysis? The theory of Lebesgue integration is a crucial component in the development of modern analysis. This book is an in-depth real analysis textbook, which introduces the basic theory of modern analysis and the basic skills of analysis. Based on the knowledge of real analysis, the theory of interpolation of operators and the Fourier transform theory are further introduced systematically. The main contents include: abstract measures and integrals, measure and topology, Lebesgue integration on Rn, the interpolation of operators on Lp(Rn), Hardy-Littlewood maximal function, convolution and the Fourier transform. They play an important role in harmonic analysis
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