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106 JOSE´ CARLOS PETRONILHO
representation, i.e.,
⟨u,f⟩=
where V is a locally integrable function with rapid decay and sufficiently regular at
the point x = b (see [17]).
Acknowledgments
I kindly acknowledge Prof. Francisco Marcell´an, Departamento de Matem´aticas, Universidad Carlos III de Madrid, for several discussions on the topics treated in this paper, as well as for some references. Thanks are also due to Prof. Renato A´lvarez- Nodarse, from Departamento de An´alisis Matem´atico, Universidad de Sevilla, for useful discussions during his stay at Coimbra University (January 2004) in the framework of the Ac¸c˜ao Integrada Luso-Espanhola E-6/03.
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+∞ −∞
f(x)V(x)dx, f∈P,