Spectral properties of weakly asymptotically almost periodic semigroups in the sense of Stepanov
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 8 (1997) no. 3, pp. 167-181.

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

The spectral structure of the infinitesimal generator of strongly measurable, asymptotically \( S^{p} \)-almost periodic semigroups is investigated.
Si studia la struttura spettrale del generatore infinitesimale di semigruppi fortemente misurabili, debolmente asintoticamente quasi periodici nel senso di Stepanov.
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Casarino, Valentina. Spectral properties of weakly asymptotically almost periodic semigroups in the sense of Stepanov. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 8 (1997) no. 3, pp. 167-181. http://geodesic.mathdoc.fr/item/RLIN_1997_9_8_3_a0/

[1] L. Amerio - G. Prouse, Almost Periodic Functions and Functional Equations. Van Nostrand, New York 1971. | MR | Zbl

[2] H. Bohr, Almost Periodic Functions. Chelsea, New York 1947. | MR | Zbl

[3] C. Corduneanu, Almost Periodic Functions. Inter science, New York 1968. | MR | Zbl

[4] J. A. Goldstein, Semigroups of Operators and Applications. Oxford University Press, Oxford 1985. | MR | Zbl

[5] J. A. Goldstein - C. Radin - R. E. Showalter, Convergence rates of ergodic limits for semigroups and cosine functions. Semigroup Forum, 16, 1978, 89-95. | fulltext EuDML | MR | Zbl

[6] H. R. Henriquez, On Stepanov-almost periodic semigroup and cosine functions of operators. Journal of Math. Analysis and Appl., 146, 1990, 420-433. | DOI | MR | Zbl

[7] E. Hille - R. S. Phillips, Functional Analysis and Semigroups. Amer. Math. Soc. Colloq. Publ., vol. 31, Providence, R.I. 1957. | MR | Zbl

[8] P. Masani, Ergodic theorems for locally strongly integrable semigroups of continuous linear operators on a Banach space. Adv. Math., 21, 1976, 202-228. | MR | Zbl

[9] Y. Meyer, Algebraic Numbers and Harmonic Analysis. North-Holland, Amsterdam 1972. | MR | Zbl

[10] W. Stepanov, Sur quelques generalizations des fonctions presque-périodiques. C. R. Acad. Sci. Paris, 181, 1925, 90-94. | Jbk 51.0214.01

[11] W. Stepanov, Ueber einige Verallgemeinerungen der fastperiodischen Funktionen. Math. Ann., 90, 1925, 473-492. | Jbk 52.0262.01

[12] E. Vesentini, Introduction to Continuous Semigroups. Scuola Normale Superiore, Pisa 1996. | MR | Zbl

[13] E. Vesentini, Spectral properties of weakly asymptotically almost periodic semigroups. Adv. Math., 128, 1997, 217-241. | DOI | MR | Zbl