By Colin Graham, Kathryn E. Hare
Realizing distinct units of integers was once classically of curiosity to Hadamard, Zygmund and others, and remains to be of curiosity at the present time. This booklet is a contemporary therapy of the topic of interpolation and Sidon units. it's a distinctive e-book, geared toward either new and skilled researchers. specifically, this is often the one e-book in English which features a whole remedy of the Pisier-Bourgain effects on Sidon units, a lot of which have been initially in French, in not easy to entry courses. purposes of the P-B effects, as a result of Pisier, Bourgain, Ramsey, and the authors are included. The e-book introduces the reader to a wealth of equipment vital in arithmetic this present day: topological, probabilistic, algebraic, combinatoric and analytic. It prepares scholars to accomplish study within the sector and offers either routines and open difficulties. The booklet additionally offers path to the literature for themes it doesn't absolutely hide. The ebook is self-contained, with appendices overlaying effects which are required, yet now not unavoidably within the pre-requisite heritage of a pupil able to decide upon a space for study in harmonic research.
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