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

• Autores: R. Chill, Eva Fasangová, Giorgio Metafune, Diego Pallara
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 71, Nº 3, 2005, págs. 703-722
• Idioma: inglés
• DOI: 10.1112/s0024610705006344
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• Resumen

  • 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.