Real Analysis: With an Introduction to Wavelet Theory, by
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- ISBN: 9780821821046 | 0821821040
- Cover: Paperback
- Copyright: 7/11/2000
This introduction to real analysis is based on a series of lectures by the author at Tohoku University. The text covers real numbers, the notion of general topology, and a brief treatment of the Riemann integral, followed by chapters on the classical theory of the Lebesgue integral on Euclidean spaces; the differentiation theorem and functions of bounded variation; Lebesgue spaces; distribution theory; the classical theory of the Fourier transform and Fourier series; and wavelet theory.