Silva-holomorphy types

1981 ◽  
pp. 437-487 ◽  
Author(s):  
Mário C. Matos ◽  
Leopoldo Nachbin
Keyword(s):  
Holomorphy Types

scholarly journals Holomorphy types for open subsets of a Banach space

1973 ◽  
Vol 45 (3) ◽  
pp. 273-289 ◽  
Author(s):  
Richard Aron
Keyword(s):  
Banach Space ◽  
Holomorphy Types

Differentiation of Holomorphy Types

1969 ◽  
pp. 38-42
Author(s):  
Leopoldo Nachbin
Keyword(s):  
Holomorphy Types

scholarly journals Holomorphy types and spaces of entire functions of bounded type on banach spaces

2009 ◽  
Vol 59 (4) ◽  
pp. 909-927 ◽  
Author(s):  
Vinícius V. Fávaro ◽  
Ariosvaldo M. Jatobá
Keyword(s):  
Banach Spaces ◽  
Entire Functions ◽  
Holomorphy Types

scholarly journals Concerning holomorphy types for Banach spaces

1970 ◽  
Vol 38 (1) ◽  
pp. 407-412 ◽  
Author(s):  
Leopoldo Nachbin
Keyword(s):  
Banach Spaces ◽  
Holomorphy Types

scholarly journals Holomorphy types and the Fourier-Borel transform between spaces of entire functions of a given type and order defined on Banach spaces

2012 ◽  
Vol 110 (1) ◽  
pp. 111 ◽  
Author(s):  
Vinícius V. Fávaro ◽  
Ariosvaldo M. Jatobá
Keyword(s):  
Banach Space ◽  
Banach Spaces ◽  
Entire Functions ◽  
Topological Isomorphism ◽  
Prime Type ◽  
Borel Transform ◽  
Holomorphy Types

Let $E$ be a Banach space and $\Theta$ be a $\pi_{1}$-holomorphy type. The main purpose of this paper is to show that the Fourier-Borel transform is an algebraic isomorphism between the dual of the space ${\operatorname{Exp}}_{\Theta,A}^{k}(E)$ of entire functions on $E$ of order $k$ and $\Theta$-type strictly less than $A$ and the space ${\operatorname{Exp}}_{\Theta^{\prime},0,(\lambda (k) A)^{-1}}^{k^{\prime}}(E^{\prime})$ of entire functions on $E^{\prime}$ of order $k^{\prime}$ and $\Theta^{\prime}$-type less than or equal to $(\lambda(k)A)^{-1}$. The same is proved for the dual of the space ${\operatorname{Exp}}_{\Theta,A}^{k}(E)$ of entire functions on $E$ of order $k$ and $\Theta$-type less than or equal to $A$ and the space ${\operatorname{Exp}}_{\Theta^{\prime}, (\lambda(k)A)^{-1}}^{k^{\prime}}( E^{\prime})$ of entire functions on $E^{\prime}$ of order $k^{\prime}$ and $\Theta^{\prime}$-type strictly less than $(\lambda(k)A)^{-1}$. Moreover, the Fourier-Borel transform is proved to be a topological isomorphism in certain cases.

scholarly journals Dynamics of non-convolution operators and holomorphy types

2018 ◽  
Vol 468 (2) ◽  
pp. 622-641
Author(s):  
Santiago Muro ◽  
Damián Pinasco ◽  
Martín Savransky
Keyword(s):  
Convolution Operators ◽  
Holomorphy Types

Holomorphy Types

1969 ◽  
pp. 34-37
Author(s):  
Leopoldo Nachbin
Keyword(s):  
Holomorphy Types

scholarly journals Holomorphy types and ideals of multilinear mappings

2006 ◽  
Vol 177 (1) ◽  
pp. 43-65 ◽  
Author(s):  
G. Botelho ◽  
H.-A. Braunss ◽  
H. Junek ◽  
D. Pellegrino
Keyword(s):  
Multilinear Mappings ◽  
Holomorphy Types

scholarly journals Holomorphy types on a Banach spaces

1971 ◽  
Vol 39 (3) ◽  
pp. 241-288 ◽  
Author(s):  
Seán Dineen
Keyword(s):  
Banach Spaces ◽  
Holomorphy Types
Sign in / Sign up

Export Citation Format

Share Document