Algebraic Numbers and Harmonic Analysis

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Elsevier, 1972 - Algebraic number theory - 274 pages
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Diophantine approximations to real numbers. Some classical results in diophantine approximations. Measure-teoretical methods in diophantine approximations. Diophantine approximations and additive problems in locally compact abelian groups. Uniqueness of representation by trigonometric series. Problems on a-periodic trigonometric sums. Special trigonometric series (complex methods). Special trigonometric series (group-theoretic methods). Pisot numbers and spectral synthesis. Ultra-thin symmetric sets.
 

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Contents

Introduction
1
Chapter I Diophantine approximations to real numbers
4
Chapter II Diophantine approximations and additive problems in locally compact abelian groups
40
Chapter III Uniqueness of representation by trigonometric series
81
Chapter IV Problems on aperiodic trigonometric sums
104
Interlude
140
Chapter V Special trigonometric series complex methods
142
Chapter VI Special trigonometric series grouptheoretic methods
183
Chapter VIII Ultrathin symmetric sets
238
Conclusion
263
Some open problems about symmetric sets
264
Open problems Special trigonometric series on local fields
265
Appendix
266
Bibliography
270
Index
274
Copyright

Chapter VII Pisot numbers and spectral synthesis
213

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About the author (1972)

Meyer, Professor, Ceremade, Universite Paris-Dauphine

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