Sharp determinants |
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| Authors: | V Baladi D Ruelle |
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| Institution: | (1) ETH Zürich, CH-8092 Zürich, Switzerland;(2) Institut des Hautes Études Scientifiques, F-91440 Bures-sur-Y vette, France;(3) Present address: Mathématiques, Université de Genève, CP 240, CH-1211 Geneva, Switzerland |
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| Abstract: | We introduce a sharp trace Tr#  and a sharp determinant Det#(1-z) for an algebra of operators acting on functions of bounded variation on the real line. We show that the zeroes of the sharp determinant describe the discrete spectrum of . The relationship with weighted zeta functions of interval maps and Milnor-Thurston kneading determinants is explained. This yields a result on convergence of the discrete spectrum of approximated operators.Oblatum 8-V-1995 & IX-1995On leave from CNRS, UMR 128, ENS Lyon, France |
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