Measure and Integral av Richard L. (Rutgers University New Brunswick New Jersey USA) Wheeden

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<P>Now considered a classic text on the topic,<B> Measure and Integral: An Introduction to Real Analysis</B> provides an introduction to real analysis by first developing the theory of measure and integration in the simple setting of Euclidean space, and then presenting a more general treatment based on abstract notions characterized by axioms and with less geometric content.</P><P>Published nearly forty years after the first edition, this long-awaited <B>Second Edition </B>also:</P><UL><LI>Studies the Fourier transform of functions in the spaces <I>L<SUP>1</I></SUP>, <I>L<SUP>2</I></SUP>, and <I>L<SUP>p</I></SUP>, 1 < <I>p</I>< 2</LI><LI>Shows the Hilbert transform to be a bounded operator on <I>L<SUP>2</I></SUP>, as an application of the <I>L<SUP>2</I></SUP> theory of the Fourier transform in the one-dimensional case</LI><LI>Covers fractional integration and some topics related to mean oscillation properties of functions, such as the classes of H¿lder continuous functions and t