Description

Book Synopsis

Now considered a classic text on the topic, Measure and Integral: An Introduction to Real Analysis 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.

Published nearly forty years after the first edition, this long-awaited Second Edition also:

  • Studies the Fourier transform of functions in the spaces L1, L2, and Lp, 1 < p < 2
  • Shows the Hilbert transform to be a bounded operator on L2, as an application of the L2 theory of the Fourier transform in the one-dimensional case
  • Covers fractional integration and some topics related to mean oscillation properties of functions, such as the classes of HÃlder continuous functions and the space of functions of bounded mean oscillation

Measure and Integral

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    A Paperback by Richard L. Wheeden

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      Book details

      Publisher CRC Press
      Published 10/14/2024
      ISBN-13 9781032918938
      978-1032918938
      ISBN-10 1032918934
      Also in:
      Mathematics Applied mathematics

      Description

      Book Synopsis

      Now considered a classic text on the topic, Measure and Integral: An Introduction to Real Analysis 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.

      Published nearly forty years after the first edition, this long-awaited Second Edition also:

      • Studies the Fourier transform of functions in the spaces L1, L2, and Lp, 1 < p < 2
      • Shows the Hilbert transform to be a bounded operator on L2, as an application of the L2 theory of the Fourier transform in the one-dimensional case
      • Covers fractional integration and some topics related to mean oscillation properties of functions, such as the classes of HÃlder continuous functions and the space of functions of bounded mean oscillation

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