Search Results - Spaces of differentiable or holomorphic functions on infinite-dimensional spaces
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The approximation property for spaces of holomorphic functions on infinite-dimensional spaces I
ISSN: 0021-9045, 1096-0430Published: Elsevier Inc 01.02.2004Published in Journal of approximation theory (01.02.2004)“…For an open subset U of a locally convex space E, let ( H( U), τ 0) denote the vector space of all holomorphic functions on U, with the compact-open topology…”
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Symmetric Polynomials and Holomorphic Functions on Infinite Dimensional Spaces
ISSN: 2311-0155, 2413-2349Published: Vasyl Stefanyk Precarpathian National University 24.12.2015Published in Journal of Vasyl Stefanyk Precarpathian National University (24.12.2015)“…A survey of general results about spectra of uniform algebras of symmetricholomorphic functions and algebras of symmetric analytic functions of bounded type…”
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The approximation property for spaces of holomorphic functions on infinite dimensional spaces III
ISSN: 1578-7303, 1579-1505Published: Milan Springer Milan 01.09.2012Published in Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas (01.09.2012)“…Let denote the vector space of all complex-valued holomorphic functions on an open subset U of a Banach space E , with the Nachbin compact-ported topology…”
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The approximation property for spaces of holomorphic functions on infinite dimensional spaces II
ISSN: 0022-1236, 1096-0783Published: Elsevier Inc 01.07.2010Published in Journal of functional analysis (01.07.2010)“…Let H ( U ) denote the vector space of all complex-valued holomorphic functions on an open subset U of a Banach space E. Let τ ω and τ δ…”
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Unitary Highest Weight Representations in Hilbert Spaces of Holomorphic Functions on Infinite Dimensional Domains
ISSN: 0022-1236, 1096-0783Published: Elsevier Inc 20.06.1998Published in Journal of functional analysis (20.06.1998)“…Automorphism groups of symmetric domains in Hilbert spaces form a natural class of infinite dimensional Lie algebras and corresponding Banach Lie groups…”
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A Montel Theorem for Holomorphic Functions on Infinite Dimensional Spaces that Omit the Values 0 and 1
ISSN: 1617-9447, 2195-3724Published: Berlin/Heidelberg Springer-Verlag 01.05.2008Published in Computational methods and function theory (01.05.2008)“…Let X be a connected complex Banach manifold. We give a proof that the set of holomorphic functions on X that omit the values 0 and 1 is a normal family…”
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New Complex Analytic Methods in the Study of Non-Orientable Minimal Surfaces in ℝⁿ
ISBN: 1470441616, 9781470441616ISSN: 0065-9266, 1947-6221Published: Providence, Rhode Island American Mathematical Society 2020“…The aim of this work is to adapt the complex analytic methods originating in modern Oka theory to the study of non-orientable conformal minimal surfaces in All…”
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Boundary-Nonregular Functions in the Disc Algebra and in Holomorphic Lipschitz Spaces
ISSN: 1660-5446, 1660-5454Published: Cham Springer International Publishing 01.06.2018Published in Mediterranean journal of mathematics (01.06.2018)“…We prove in this paper the existence of dense linear subspaces in the classical holomorphic Lipschitz spaces in the disc all of whose non-null functions are nowhere differentiable at the boundary…”
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Nowhere hölderian functions and Pringsheim singular functions in the disc algebra
ISSN: 0026-9255, 1436-5081Published: Vienna Springer Vienna 11.04.2019Published in Monatshefte für Mathematik (11.04.2019)“…We prove the existence of dense linear subspaces, of infinitely generated subalgebras and of infinite dimensional Banach spaces in the disc algebra all of whose nonzero members are not α…”
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10
The Seiberg-Witten equations and applications to the topology of smooth four-manifolds
ISBN: 9780691025971, 0691025975Published: Princeton, NJ Princeton University Press 1996“…No detailed description available for "The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds. (MN-44), Volume 44"…”
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