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    • Fractional gaussian estimates and holomorphy of semigroups 

      Seoanes Correa, Fabian; Keyantuo, Valentín (Advisor); Warma, Mahamadi (Advisor); El Mennaoui, Omar (Reader); Li, Liangquin (Reader); Shan, Lin (Reader) (Universidad de Puerto Rico Recinto de Río Piedras, 2019-10)
      Let Ω ⊂ RN be an arbitrary open set and denote by (e−t(−∆)sRN )t≥0 (where 0 < s < 1) the semigroup on L 2 (R N ) generated by the fractional Laplace operator. In the first part of the thesis we show that if T is a ...