Geodesic
A Remark on Talenti's Semigroup
Canadian mathematical bulletin, Tome 18 (1975) no. 4, pp. 591-592

Voir la notice de l'article provenant de la source Cambridge University Press

For α>0 the Riemann-Liouville Integral J(α) is given for suitable functions g by 1 For a variety of function spaces (e.g., C[0, 1] or Lp(0, 1) with p≥1) this defines a C0 semigroup which has been extensively studied (cf., e.g., [3]). 
Seidman, Thomas I. A Remark on Talenti's Semigroup. Canadian mathematical bulletin, Tome 18 (1975) no. 4, pp. 591-592. doi: 10.4153/CMB-1975-104-8
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[1] 1. Chrysovergis, A., Some Remarks on TalentVs Semigroup, Canad. Math. Bull. 14 (1971), pp. 147–150. Google Scholar

[2] 2. Hille, E., review of [1] in Math. Rev., 46 (1973), rev. 9247. Google Scholar

[3] 3. Hille, E. and Phillips, R. S., Functional Analysis and Semigroups, Amer. Math. Soc. Colloq. Publ., v. 31. Google Scholar

[4] 4. Talenti, G., Sul Problema di Cauchy per le Equazioni a Derivate Parziali, Ann. Mat. Pura Appl., LXVII (1965), pp. 365–394. Google Scholar

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