Closed Ideals in Algebras of Smooth Functions PDF Download
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Author: Leonid G. Hanin
Publisher:
ISBN:
Category : Approximation theory
Languages : en
Pages : 76
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Author: Leonid G. Hanin
Publisher:
ISBN:
Category : Approximation theory
Languages : en
Pages : 76
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Book Description
Author: Leonard Gillman
Publisher: Courier Dover Publications
ISBN: 0486816885
Category : Mathematics
Languages : en
Pages : 321
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Book Description
Designed as a text as well as a treatise, the first systematic account of the theory of rings of continuous functions remains the basic graduate-level book in this area. 1960 edition.
Author: Charles Madison Stanton
Publisher:
ISBN:
Category : Analytic functions
Languages : en
Pages : 158
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Author: Joaquim Bruna
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: Craig Huneke
Publisher: Cambridge University Press
ISBN: 0521688604
Category : Mathematics
Languages : en
Pages : 446
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Book Description
Ideal for graduate students and researchers, this book presents a unified treatment of the central notions of integral closure.
Author: Nikolai A. Shirokov
Publisher: Springer
ISBN: 3540391754
Category : Mathematics
Languages : en
Pages : 214
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Book Description
This research monograph concerns the Nevanlinna factorization of analytic functions smooth, in a sense, up to the boundary. The peculiar properties of such a factorization are investigated for the most common classes of Lipschitz-like analytic functions. The book sets out to create a satisfactory factorization theory as exists for Hardy classes. The reader will find, among other things, the theorem on smoothness for the outer part of a function, the generalization of the theorem of V.P. Havin and F.A. Shamoyan also known in the mathematical lore as the unpublished Carleson-Jacobs theorem, the complete description of the zero-set of analytic functions continuous up to the boundary, generalizing the classical Carleson-Beurling theorem, and the structure of closed ideals in the new wide range of Banach algebras of analytic functions. The first three chapters assume the reader has taken a standard course on one complex variable; the fourth chapter requires supplementary papers cited there. The monograph addresses both final year students and doctoral students beginning to work in this area, and researchers who will find here new results, proofs and methods.
Author: Nikolaj Kapitonovič Nikolʹskij
Publisher: American Mathematical Soc.
ISBN: 9780821830307
Category : Mathematics
Languages : en
Pages : 248
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Author: K. Jarosz
Publisher: CRC Press
ISBN: 9780824796655
Category : Mathematics
Languages : en
Pages : 412
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Book Description
Presenting the proceedings from the Second Conference on Function Spaces, this work details known results and fresh discoveries on a wide range of topics concerning function spaces. It covers advances in areas such as spaces and algebras of analytic functions, Lp-spaces, spaces of Banach-valued functions, isometries of function spaces, geometry of Banach spaces, and Banach algebras.
Author: Juan A. Navarro González
Publisher: Springer
ISBN: 3540396659
Category : Mathematics
Languages : en
Pages : 191
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Book Description
The volume develops the foundations of differential geometry so as to include finite-dimensional spaces with singularities and nilpotent functions, at the same level as is standard in the elementary theory of schemes and analytic spaces. The theory of differentiable spaces is developed to the point of providing a handy tool including arbitrary base changes (hence fibred products, intersections and fibres of morphisms), infinitesimal neighbourhoods, sheaves of relative differentials, quotients by actions of compact Lie groups and a theory of sheaves of Fréchet modules paralleling the useful theory of quasi-coherent sheaves on schemes. These notes fit naturally in the theory of C^\infinity-rings and C^\infinity-schemes, as well as in the framework of Spallek’s C^\infinity-standard differentiable spaces, and they require a certain familiarity with commutative algebra, sheaf theory, rings of differentiable functions and Fréchet spaces.
Author: Mahavirendra Hariprasad Vasavada
Publisher:
ISBN:
Category : Banach algebras
Languages : en
Pages : 196
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Book Description
