Spectral properties of weakly almost periodic cosine functions

Casarino, Valentina

Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 9 (1998) no. 3, pp. 177-211.

Abstract (VO)

The spectral structure of the infinitesimal generator of a strongly continuous cosine function of linear bounded operators is investigated, under assumptions on the almost periodic behaviour of applications generated, in various ways, by C. Moreover, a first approach is presented to the analysis of connection between cosine functions and dynamical systems.

Riassunto

Si studia la struttura spettrale del generatore infinitesimale di una funzione coseno fortemente continua di operatori lineari limitati, sotto ipotesi sul comportamento quasi periodico di applicazioni generate, in diversi modi, da C. È, inoltre, presentato un primo approccio all’analisi del legame fra funzioni coseno e sistemi dinamici.

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