Artículo
A Seidel-Walsh theorem with linear differential operators
Autor/es | Bernal González, Luis
Calderón Moreno, María del Carmen |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 1999-05 |
Fecha de depósito | 2019-06-18 |
Publicado en |
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Resumen | Assume that {Sn}∞1 is a sequence of automorphisms of the open unit disk D and that {Tn}∞1 is a sequence of linear differential operators with constant coefficients, both of them satisfying suitable conditions. We prove ... Assume that {Sn}∞1 is a sequence of automorphisms of the open unit disk D and that {Tn}∞1 is a sequence of linear differential operators with constant coefficients, both of them satisfying suitable conditions. We prove that for certain spaces X of holomorphic functions in the open unit disk, the set of functions f ∈ X such that {(Tnf) ◦ Sn : n ∈ N} is dense in H(D) is residual in X. This extends the Seidel-Walsh theorem together with some subsequent results. |
Identificador del proyecto | PB96-1348 |
Cita | Bernal González, L. y Calderón Moreno, M.d.C. (1999). A Seidel-Walsh theorem with linear differential operators. Archiv der Mathematik, 72 (5), 367-375. |
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