Dineen, Seán Complex analysis in locally convex spaces. (English) Zbl 0484.46044 North-Holland Mathematics Studies, 57. Notas de Matematica (83). Amsterdam - New York - Oxford: North-Holland Publishing Company. XIII, 492 p. $ 51.00; Dfl. 120.00 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 16 ReviewsCited in 128 Documents MSC: 46G20 Infinite-dimensional holomorphy 46-02 Research exposition (monographs, survey articles) pertaining to functional analysis 58B12 Questions of holomorphy and infinite-dimensional manifolds 46E10 Topological linear spaces of continuous, differentiable or analytic functions 46A03 General theory of locally convex spaces 46A13 Spaces defined by inductive or projective limits (LB, LF, etc.) 46A11 Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) 46A45 Sequence spaces (including Köthe sequence spaces) Keywords:infinite dimensional holomorphy; analytic continuation; domains of holomorphy; pseudoconvexity; nuclear spaces; Banach space; space of holomorphic functions; ported topology; barreledness; Frechet nuclear space with basis; nuclear sequence spaces PDF BibTeX XML OpenURL