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Type: Artigo de periódico
Title: Uniformly Holomorphic Continuation In Locally Convex Spaces
Author: Paques O.W.
Zaine M.C.F.
Abstract: We investigate the simultaneous uniformly holomorphic continuation of the uniformly holomorphic functions defined in a domain spread of uniform type, (X, θ{symbol}), over a locally convex Hausdorff space E. We construct the envelope of uniform holomorphy of (X, θ{symbol}) with an analogous method of the results of M. Schottenloher (Portugal. Math. 33 (1974)). Finally, we use this construction to the problem of extending uniformly holomorphic maps f: (X, θ{symbol}) → F, with values in a complete locally convex space to the envelope of uniform holomorphy of X. © 1987.
Rights: fechado
Identifier DOI: 10.1016/0022-247X(87)90322-2
Date Issue: 1987
Appears in Collections:Unicamp - Artigos e Outros Documentos

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