Convolution equations on spaces of entire functions of a given type and order / Equações de convolução em espaços de aplicações quase-nucleares de um dado tipo e uma dada ordem

AUTOR(ES)
DATA DE PUBLICAÇÃO

2007

RESUMO

In this work we introduce the spaces of (s;m(r; q))-summing functions of a given type and order defined in E, and the spaces of (s; (r; q))-quasi-nuclear functions of a given type and order defined in E, and we prove that the Fourier-Borel transform identify the dual of the space of (s; (r; q))-quasi-nuclear functions of a given type and order defined in E, with the space of (s ;m(r ; q ))-summing functions of a corresponding type and order defined in E . We also prove division theorems for (s;m(r; q))-summing functions of a given type and order and division theorems involving the Fourier-Borel transform. As a consequence we prove the existence and approximation results for convolution equations on the spaces of (s; (r; q))-quasi-nuclear functions of a given type and order.

ASSUNTO(S)

banach funções holomorficas locally convex spaces banach spaces espaços de espaços localmente convexos holomorphic functions

ACESSO AO ARTIGO

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