Mayer D., Roepstorff G. — On the Relaxation Time of Gauss's Continued-Fraction Map I. The Hilbert Space Approach (Koopmanism)
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Название: On the Relaxation Time of Gauss's Continued-Fraction Map I. The Hilbert Space Approach (Koopmanism)
Авторы: Mayer D., Roepstorff G.
Аннотация:
Journal of Statistical Physics, Vol. 47, Nos. 1/2, 1987. p. 149-171.
It is shown that U*, the adjoint of Koopman's isometric operator Uf(x)= f(Tx) corresponding to the map Tx=x^(-1) (mod 1) of the unit interval, is isomorphic to a symmetric integral operator when restricted to a Hilbert space
of holomorphic functions f...
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