ENTIRE FREDHOLM DETERMINANTS FOR EVALUATION OF SEMICLASSICAL AND THERMODYNAMICAL SPECTRA
WoS ID: A1993MM25400011
Scopus ID: 0010845624
Proofs that Fredholm determinants of transfer operators for hyperbolic flows are entire can be extended to a large new class of multiplicative evolution operators. We construct such operators both for the Gutzwiller semiclassical quantum mechanics and for classical thermodynamic formalism, and introduce a new functional determinant which is expected to be entire for Axiom A flows, and whose zeros coincide with the zeros of the Gutzwiller-Voros zeta function.