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stability
Stability theorems for Fourier frames and wavelet Riesz bases
      
In this paper we present two applications of a Stability Theorem of Hilbert frames to nonharmonic Fourier series and wavelet Riesz basis.
      
As an application we prove new theorems concerning stability offrames (and frame-like decompositions) under perturbation in both Hilbert spaces and Banach spaces.
      
Stability and independence of the shifts of finitely many refinable functions
      
Typical constructions of wavelets depend on the stability of the shifts of an underlying refinable function.
      
In Section 2 of this article, we characterize stability and linear independence of the shifts of a finite refinable function set in terms of the refinement mask.
      
This value is a good stability bound of Fourier frames because it covers Kadec's 1/4-theorem and is better than (see Duffin and Schaefer [3]).
      
On the stability of wavelet and Gabor frames (Riesz bases)
      
We also discuss the stability of irregular sampling problems.
      
An explicit formula and a microlocal analysis of stability of the reconstruction are given.
      
It can be used to describe the regularity of the solution without assuming stability.
      
This article concerns the stability of orthogonal bases of solutions of Sturm-Liouville equations with different types of initial conditions.
      
The investigation is based on the stability of Riesz bases of cosines and sines in the Hibert space L2[0,π].
      
Stability Estimates for Helical Computer Tomography
      
Riesz property plays an important role in any wavelet-based compression algorithm and is critical for the stability of any wavelet-based numerical algorithms.
      
Numerical and empirical results are presented establishing the empirical stability of the basic algorithm.
      
These derivatives exhibited in vitro stability in buffers of pH 2.0 and 7.4 for 6 h and were readily hydrolyzed by human plasma esterases to liberate the parent drug.
      
Stability of DNA upon interaction with dimethyltin dichloride
      
Furthermore, at low concentrations (up to 5 mM), Me2SnCl2 binds to the phosphate groups of DNA in an exothermic step and had no significant effect on double-strand DNA stability, confirmed by the fact that the Tm value did not change.
      
On the stability of differential systems with time lag
      
 

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