The Radon transform and its dual associated with partial differential operators and applications to polynomials on the unit disk

• Autores: Khalifa Trimèche
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Nº 1, 1993, pág. 271
• Idioma: inglés
• DOI: 10.1016/0377-0427(93)90160-d
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• Resumen

  • In this work we consider two partial differential operators. We define a generalized Radon transform and its dual associated with these operators. We determine function spaces on which these transforms are permutation or transmutation operators. Next we give applications to polynomials on the open unit disk of which are eigenfunctions of the preceding partial differential operators.