Geodesic
Equicontinuous families of operators generating mean periodic maps
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 10 (1999) no. 3, pp. 141-171.

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

The existence of mean periodic functions in the sense of L. Schwartz, generated, in various ways, by an equicontinuous group \( U \) or an equicontinuous cosine function \( C \) forces the spectral structure of the infinitesimal generator of \( U \) or \( C \). In particular, it is proved under fairly general hypotheses that the spectrum has no accumulation point and that the continuous spectrum is empty.
Si dimostra che l’esistenza di funzioni medio-periodiche nel senso di L. Schwartz, generate, in diversi modi, da un gruppo \( U \) o da una funzione coseno \( C \) equicontinui condiziona la struttura dello spettro del generatore infinitesimale di \( U \) e di \( C \). In particolare, si dimostra sotto ipotesi piuttosto generali che lo spettro è privo di punti di accumulazione e che lo spettro continuo è vuoto. 
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Casarino, Valentina. Equicontinuous families of operators generating mean periodic maps. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 10 (1999) no. 3, pp. 141-171. http://geodesic.mathdoc.fr/item/RLIN_1999_9_10_3_a1/

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