Algebraic Numbers And Fourier Analysis & Selected Problems On Exceptional Sets(wadsworth Mathematics Series)
by Raphael Salem /
1983 / English / PDF
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This small book contains, with but a few developments. the substance of the lectures I gave in the fall of 1960 at Brandeis University at the invitation of its Department of Mathematics. Although some of the material contained in this book appears in the latest edition of Zygmund's treatise, the subject matter covered here has never until now been presented as a whole, and part of it has, in fact, appeared only in original memoirs. This, together with the presentation of a number of problems which remain unsolved, seems to justify a publication which, I hope, may be of some value to research students. In order to facilitate the reading of the book, I have included in an Appendix the definitions and the results (though elementary) borrowed from algebra and from number theory.