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A Remark on Talenti's Semigroup
Published online by Cambridge University Press: 20 November 2018
Extract
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]).
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- Copyright © Canadian Mathematical Society 1975