Resumen de The sector of analyticity of the Ornstein-Uhlenbeck semigroup on spaces with respect to invariant measure

R. Chill, Eva Fasangová, Giorgio Metafune, Diego Pallara

• The sector of analyticity of the Ornstein-Uhlenbeck semigroup is computed on the space with respect to its invariant measure . If denotes the generator of the Ornstein-Uhlenbeck semigroup, then the angle of the sector of analyticity in is minus the spectral angle of being the matrix determining the Gaussian measure . The angle of analyticity in is then given by the formula.