Daniel Waterman (EDT) Classical real analysis

Annotation

This book collects most of the papers presented at a special session on classical real analysis held to honor Casper Goffman at the April 1982 AMS meeting. The variety of these papers reflects Goffman's wide-ranging interests and the many areas where his influence has been felt: differentiation and integration theory, structure theory of real functions, ordered systems, surface area, Sobolev spaces, Fourier analysis, measure theory, bases, and approximation theory. Together they provide an appreciation of the directions in which real analysis has developed and of how classical techniques might be applied to problems of current interest. Readers should have a background in classical analysis. Though aimed primarily at specialists in real function theory of one or several variables, the papers will also interest mathematicians working in the areas of Fourier analysis, surface area, mapping theory and control theory.