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Gaps and Fatou theorems for series in Schauder basis of holomorphic functions

Complex Variables and Elliptic Equations, 2006
We prove a gap theorem and the “Fatou change-of-sign theorem” [Fatou, P., 1906, Series trigonometriques e series de Taylor. Acta Mathematica, 39, 335–400] for expansions in common Schauder basis of holomorphic functions.
Lassère, Patrice, Thanh Van, Nguyen
openaire   +2 more sources

On Closed Subspaces of Non-Archimedean Nuclear Fréchet Spaces with a Schauder Basis

The Journal of Geometric Analysis, 2013
The author continues the study that he started in 2000 about the structure of Fréchet spaces \(E\) over non-Archimedean valued fields. This time he pays attention to closed subspaces of non-Archimedean nuclear Fréchet spaces with a Schauder basis. Let \(\Gamma\) be the family of all non-decreasing unbounded sequences of real positive numbers.
openaire   +1 more source

On the Construction of Sequence Spaces that have Schauder Bases

Canadian Journal of Mathematics, 1966
It is known that every Banach space which possesses a Schauder basis is essentially a space of sequences (6, Section 11.4). The primary objectives of this paper are: (1) to illustrate the close connection between sectionally bounded BK spaces and Banach spaces which have a Schauder basis, and (2) to consider some results in these theories in such a way
openaire   +1 more source

Schauder estimates for drifted fractional operators in the supercritical case

Journal of Functional Analysis, 2020
Stephane Menozzi, Enrico Priola
exaly  

Characterization of Schauder basis property of Gabor systems in local fields

Acta Scientiarum Mathematicarum, 2021
Biswaranjan Behera, Nurul Md. Molla
openaire   +1 more source

Nonuniformly elliptic Schauder theory

Inventiones Mathematicae, 2023
exaly  

Schauder estimates for nonlocal kinetic equations and applications

Journal Des Mathematiques Pures Et Appliquees, 2020
Zimo Hao, Mingyan Wu, Xicheng Zhang
exaly  

Schauder estimates for a class of non-local elliptic equations

Discrete and Continuous Dynamical Systems, 2013
Hongjie Dong, Doyoon Kim
exaly  

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