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Smoothing Minimally Suppprted Frequency Wavelets: Part II.

E. Hernández; G. Weiss; X. Wang — 1997

The journal of Fourier analysis and applications [[Elektronische Ressource]]

Smoothing Minimally Supported Frequency Wavelets. Part I.

Xihua Wang; E. Hernández; G. Weiss — 1995

The journal of Fourier analysis and applications [[Elektronische Ressource]]

Conditionality constants of quasi-greedy bases in super-reflexive Banach spaces

F. Albiac; J. L. Ansorena; G. Garrigós; E. Hernández; M. Raja — 2015

Studia Mathematica

We show that in a super-reflexive Banach space, the conditionality constants $k_{N} (ℬ)$ of a quasi-greedy basis ℬ grow at most like $O ({(l o g N)}^{1 - ε})$ for some 0 < ε < 1. This extends results by the third-named author and Wojtaszczyk (2014), where this property was shown for quasi-greedy bases in $L_{p}$ for 1 < p < ∞. We also give an example of a quasi-greedy basis ℬ in a reflexive Banach space with $k_{N} (ℬ) \approx l o g N$ .

Global solutions for abstract functional differential equations with nonlocal conditions.

Hernandez, E.; Aki, Sueli M.Tanaka — 2009

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Existence results for abstract partial neutral integro-differential equation with unbounded delay.

Hernandez, E.; Henriquez, H.R.; Dos Santos, J.P.C. — 2009