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23 p, 261.9 KB 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)
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. [...]
2005 - 10.5565/PUBLMAT_49205_12
Publicacions matemàtiques, V. 49 n. 2 (2005) p. 487-509  

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