Kernel theorems in spaces of tempered generalized functions

• Autores: A. Delcroix
• Localización: Mathematical proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, Vol. 142, Nº 3, 2007, págs. 557-572
• Idioma: inglés
• DOI: 10.1017/s0305004107000011
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• Resumen

  • In analogy to the classical isomorphism between and , we show that a large class of moderate linear mappings acting between the space of Colombeau rapidly decreasing generalized functions and the space of temperate ones admits generalized integral representations, with kernels belonging to . Furthermore, this result contains the classical one.