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Trace series on
Authors:Angel Popescu  Nicolae Popescu  Alexandru Zaharescu
Institution:1. Department of Mathematics, Technical University of Civil Engineering of Bucharest, B-ul Lacul Tei 124, RO-72302, Bucharest 38, Romania
2. Mathematical Institute of the Romanian Academy, P.O. Box 1-764, Bucharest, 70700-, Romania
3. Mathematical Institute of the Romanian Academy, P.O. Box 1-764, Bucharest, 70700-, Romania
4. Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, IL, 61801, USA
Abstract:Let K be a number field which contains ></img>                              </span> the absolute Galois group of K. Let <span class= ></img>                              </span> be the completion of <span class= ></img>                              </span> relative to the spectral norm <span class= ></img>                              </span>. A trace series and a trace function are associated to an element <span class= ></img>                              </span>. A measure preserving function H:G{inK}→0,1] is constructed and a Fourier type theory is considered for elements of <span class= ></img>                              </span>.</td>
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Keywords:
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