The dual of the space of holomorphic functions on locally closed convex sets
Bonet, José (Universitat Politècnica de València. Instituto de Matemática Pura y Aplicada)
Meise, Reinhold (Heinrich-Heine-Universität. Mathematisches Institut)
Melikhov, Sergej N. (Rostov State University. Department of Mechanics and Mathematics)

Date:	2005
Abstract:	Let H(Q) be the space of all the functions which are holomorphic on an open neighbourhood of a convex locally closed subset Q of CN , endowed with its natural projective topology. We characterize when the topology of the weighted inductive limit of Fréchet spaces which is obtained as the Laplace transform of the dual H(Q) 0 of H(Q) can be described by weighted sup-seminorms. The behaviour of the corresponding inductive limit of spaces of continuous functions is also investigated.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Published in:	Publicacions matemàtiques, V. 49 n. 2 (2005) p. 487-509, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/128388
DOI: 10.5565/PUBLMAT_49205_12

23 p, 261.9 KB

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