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We show that there is a complex spaceXcendowed with a holomorphic action of the universal complexificationG ofK that containsX as an openK-stable subset.
      
Let T be a τ -stable maximal torus of G and its Weyl group W.
      
Assume B is F-stable, so that U is also F-stable and U(q) is a Sylow p-subgroup of G(q).
      
We show that the conjugacy classes of U(q) are in correspondence with the F-stable adjoint orbits of U in u.
      
It is also shown that on the nilmanifold $\Gamma\backslash (H^3\times H^3)$ the balanced condition is not stable under small deformations.
      
A Hamiltonian Stable Minimal Lagrangian Submanifold of Projective Space with Nonparallel Second Fundamental Form
      
In this paper we show that Hamiltonian stable minimal Lagrangian submanifolds of projective space need not have parallel second fundamental form.
      
We show that if no sampling of the signal itself is involved, the sampling is not stable and cannot be stabilized by oversampling.
      
Spherical harmonic series have many of the same wonderful properties as Fourier series, but have lacked one important thing: a numerically stable fast transform analogous to the Fast Fourier Transform (FFT).
      
Under the appropriate definition of sampling density D?, a function f that belongs to a shift invariant space can be reconstructed in a stable way from its non-uniform samples only if D?≥1.
      
If the shift invariant space consists of polynomial splines, then we show that D?>amp;lt;1 is sufficient for the stable reconstruction of a function f from its samples, a result similar to Beurling's special case B1/2.
      
In most applications, it is this overcompleteness that is exploited to yield a decomposition that is more stable, more robust, or more compact than is possible using nonredundant systems.
      
This work seeks to establish a means for the construction of stable filtering schemes with rational dilations through the theory of shift-invariant spaces.
      
Moreover, it will be shown that such decompositions give rise to stable filtering schemes with finitely supported filters, reminiscent of those studied by Kovacevic and Vetterli.
      
Fourier Series Approximation of Linear Fractional Stable Motion
      
An approximation of the linear fractional stable motion by a Fourier sum is presented.
      
This approximation method is used to develop a simulation method of the sample path of linear fractional stable motions.
      
A condition of the existence of stable positive steady-state solutions for a one predator two prey system
      
This paper provides a natural condition of the existence of stable positive steady-state solutions for the one predator two prey system.
      
We obtain a stable doubleLR algorithm for doubleLR transformation of normative matrices and give the error analysis of our algorithm.
      
 

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