Brian Thomson, Professor Emeritus
Ph.D. Mathematics · University of Waterloo · 1968
Ph.D. Mathematics · University of Waterloo · 1968
My general interest is in the area of classical real analysis. The best introduction to this field and to its many current practitioners can be obtained by perusing the Real Analysis Exchange. For the last dozen or so years this journal has played the role that the Fundamenta Mathematica did in the period between the wars when real analysis was much in vogue.
More specifically and narrowly my current research program is the study of the properties of real functions in terms of symmetry properties. This leads to a variety of problems in generalized derivatives (symmetric derivatives, approximate symmetric derivatives, higher order Riemann derivatives) and various notions of continuity. A host of symmetric integrals arise in this way too. These ideas have intimate connections with many problems in trigonometric series.
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