Representation and duality in weighted frechet spaces of entire functions

1987 ◽  
pp. 168-196 ◽  
Author(s):  
F. Haslinger ◽  
M. Smejkal
Keyword(s):  
Entire Functions ◽  
Fréchet Spaces

Sufficient sets in weighted Fréchet spaces of entire functions

2013 ◽  
Vol 54 (4) ◽  
pp. 575-587 ◽  
Author(s):  
A. V. Abanin ◽  
V. A. Varziev
Keyword(s):  
Entire Functions ◽  
Fréchet Spaces

scholarly journals Quasianalytic functionals and projective descriptions

2004 ◽  
Vol 94 (2) ◽  
pp. 249 ◽  
Author(s):  
José Bonet ◽  
Reinhold Meise
Keyword(s):  
Laplace Transform ◽  
Convex Subset ◽  
Inductive Limit ◽  
Entire Functions ◽  
Fréchet Spaces ◽  
Open Convex ◽  
Open Convex Subset

The topology of the weighted inductive limit of Fréchet spaces of entire functions in $N$ variables which is obtained as the Fourier Laplace transform of the space of quasianalytic functionals on an open convex subset of $\mathrm{R}^N$ cannot be described by means of weighted sup-seminorms.

scholarly journals Approximation of functions by Complex conformable derivative bases in Frechet spaces

2021 ◽  
Author(s):  
Gamal HAssan ◽  
Emad Abdel-salam ◽  
Rashwan Rashwan
Keyword(s):  
Fractional Integral ◽  
Entire Functions ◽  
Conformable Fractional Derivative ◽  
Growth Order ◽  
Fréchet Spaces ◽  
Conformable Derivative ◽  
Approximation Of Functions ◽  
Integral Bases ◽  
Order And Type ◽  
Conformable Fractional Integral

In the present paper the representation, in different domains, of analytic functions by complex conformable fractional derivative bases (CCFDB) and complex conformable fractional integral bases (CCFIB) in Frechet space are investigated . Theorems are proved to show that such representation is possible in closed disks, open disks, open regions surrounding closed disks, at the origin and for all entire functions. Also, some results concerning the growth order and type of CCFDB and CCFIB are determined. Moreover the T-property of CCFDB and CCFIB are dis- cussed. The obtained results recover some known results when alpha = 1. Finally, some applications to the CCFDB and CCFIB of Bernoulli, Euler, Bessel and Chebyshev polynomials have been studied.

Entire Functions of Bounded Type on Fréchet Spaces

1993 ◽  
Vol 161 (1) ◽  
pp. 185-198 ◽  
Author(s):  
Pablo Galindo ◽  
Domingo García ◽  
Manuel Maestre
Keyword(s):  
Entire Functions ◽  
Fréchet Spaces

scholarly journals Weighted Frechet spaces of entire functions from the class of power series spaces of finite type

2013 ◽  
Author(s):  
П.С. Сергунин ◽  
А.В. Абанин ◽  
Ч.Т. Фам
Keyword(s):  
Power Series ◽  
Finite Type ◽  
Entire Functions ◽  
Fréchet Spaces

Изучаются весовые пространства Фреше целых функций, задаваемые весовыми последовательностями общего вида. Получены достаточные условия на веса, при которых они обладают топологическими инвариантами Фогта - Вагнера, и, таким образом, относятся к классу пространств степенных рядов конечного типа.

Sign in / Sign up

Export Citation Format

Share Document