par Antoniou, Ioannis ;Shkarin, Stanislav
Référence Chaos, solitons and fractals, 17, 2-3, page (445-448)
Publication Publié, 2003-07
Article révisé par les pairs
Résumé : A study was performed on resonances and time operator for the cusp map. A theorem on spectra of the operator in different function spaces was presented. It was found that the Forbenius-Perron operator has no analytic eigenfunctions corresponding to the eigenvalues different from 0 and 1 while the natural time operator one has infinite-dimensional space of analytic eigenfunctions corresponding to any of its eigenvalues.