The treatment of integration developed by Henri Lebesgue almost a century ago rendered previous theories obsolete and has yet to be replaced by a better one. The author presents an extended introduction to Lebesgue integration, deals with n-dimensional space from the outset, and provides a thorough treatment of Fourier analysis. Other topics include Lebesgue measure, invariance, Cantor sets, algebras of sets and measurable functions, the gamma function, convolutions, and products of abstract measures.

Book News, Inc. , August 1, 1993