Duality results for a general trigonometric approximation problem

• Autores: Lutz Klotz, Conrad Mädler
• Localización: Jaen journal on approximation, ISSN 1889-3066, ISSN-e 1989-7251, Vol. 11, Nº. 1-2, 2019, págs. 101-114
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • Let α ∈ (1,∞) and μ be a regular finite Borel measure on a locally compact abelian group. The paper deals with a general trigonometric approximation problem in Lα(μ), which arises in prediction theory of harmonizable symmetric α-stable processes. To solve it, a duality method is applied, which is due to Nakazi and was generalized by Miamee and Pourahmadi and in the sequel successfully applied by several authors. The novelty of the present paper is that we do not make any additional assumption on μ. Moreover, for α = 2, multivariate extensions are obtained