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

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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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     author = {Seidman, Thomas I.},
     title = {A {Remark} on {Talenti's} {Semigroup}},
     journal = {Canadian mathematical bulletin},
     pages = {591--592},
     year = {1975},
     volume = {18},
     number = {4},
     doi = {10.4153/CMB-1975-104-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1975-104-8/}
}
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