Holomorphic Functions
Mostrando 1-12 de 16 artigos, teses e dissertações.
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1. Fundamentos da geometria complexa: aspectos geométricos, topológicos e analiticos. / Foundations of Complex Geometry: geometric, topological and analytic aspects.
The main goal of this work is to present a detailed study of the foundations of Complex Geometry, highlighting its geometric, topological and analytical aspects. Beginning with a preliminary material, such as the basic results on holomorphic functions in one or more variables and the definition and first examples of a complex manifold, we move on to an intro
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 03/05/2012
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2. Holomorphy types on a Banach spaces / Tipos de holomorfia em espaços de Banach
In this work we introduce and study functions of ?-holomorphy type of bounded type. In particular we obtain a duality result via the Borel transform and we prove existence and approximation results for convolution equations. The results we prove generalize previous results of this type due to C. Gupta [21], M. Matos [28] and X. Mujica [32]. We study the rela
Publicado em: 2008
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3. Funções holomorfas fracamente continuas em espaços de Banach / Weakly continuous holomorphic functions on Banach spaces
Sejam E e F espaços de Banach complexos, e seja U um aberto em E. Neste trabalho estudamos os subespaços Hwu(U; F), Hw(U; F), Hwsc(U; F) e HwC(U; F) de H(U; F). Mais especificamente, se U é aberto equilibrado caracterizamos funções destes subespaços em termos de condições de equicontinuidade dos polinômios da série de Taylor. Estudamos sob que cond
Publicado em: 2007
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4. Convolution equations on spaces of entire functions of a given type and order / Equações de convolução em espaços de aplicações quase-nucleares de um dado tipo e uma dada ordem
In this work we introduce the spaces of (s;m(r; q))-summing functions of a given type and order defined in E, and the spaces of (s; (r; q))-quasi-nuclear functions of a given type and order defined in E, and we prove that the Fourier-Borel transform identify the dual of the space of (s; (r; q))-quasi-nuclear functions of a given type and order defined in E,
Publicado em: 2007
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5. Equações de convolução em espaços de aplicações quase-nucleares de um dado tipo e uma dada ordem / Convolution equations on spaces of entire functions of a given type and order
In this work we introduce the spaces of (s;m(r; q))-summing functions of a given type and order defined in E, and the spaces of (s; (r; q))-quasi-nuclear functions of a given type and order defined in E, and we prove that the Fourier-Borel transform identify the dual of the space of (s; (r; q))-quasi-nuclear functions of a given type and order defined in E,
Publicado em: 2007
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6. Familias normais de aplicações holomorfas em espaços de dimensão infinita / Normal families of holomorphic mappings on infinite dimensional spaces
Este trabalho estende teoremas clássicos da teoria de funções holomorfas de uma variável complexa para espaços localmente convexos de dimensão infinita. Serão dadas várias caracterizações de famílias normais, n?ao apenas com relação à topologia compacto-aberta, mas também para outras topologias naturais no espaço de aplicações holomorfas. T
Publicado em: 2006
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7. Minimal sufaces foliated by circunferences / Superficies minimas folheadas por circunferencias
Minimal surfaces are known to be the ones with mean curvature zero. Classical exampIes are the catenoid, helicoid and the Scherk surface. Historically, they were associated with the property of minimizing area. However, they can even maximize it localIy for cases of normal variation which include the boundary. For fixed boundary, we shalI analyse when they r
Publicado em: 2005
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8. Funções inteiras em espaços de Banach com dual separavel
Let E and F be complex Banach spaces, and let H (E; F) be the space of all holomorphic functions from E into F. We also denote by HW (E; F) (resp. HWU (E; F)) the subspace of all ¿ ? H (E; F) which are weakly continuous on bounded sets (resp. weakly uniformly continuous on bounded sets).In 1983 Aron, Herves and Valdivia raised the following question: Does H
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 19/02/2002
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9. Boundary behavior of functions holomorphic in domains of finite type
We study several notions of distance and ball on the boundary of domains of finite type in Cn. We use these notions to develop a theory of maximal functions and area integrals for functions holomorphic in such domains.
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10. ZEROS OF NEIGHBORING HOLOMORPHIC FUNCTIONS
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11. Hp CLASSES OF HOLOMORPHIC FUNCTIONS IN TUBE DOMAINS*
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12. ON IDENTICAL VANISHING OF HOLOMORPHIC FUNCTIONS IN SEVERAL COMPLEX VARIABLES*