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applications
Applications to constructing a basis inZ(g) for classical g are also sketched.
      
We obtain a criterion for rational smoothness of an algebraic variety with a torus action, with applications to orbit closures in flag varieties, and to closures of double classes in regular group completions.
      
We also describe the closure of orbits and then give applications to the repartition of rational points on K3 surfaces.
      
The main part of the work deals with abstract Higgs bundles; in the last two sections we derive the applications to Higgs bundles valued in a line bundle K and to bundles on elliptic fibrations.
      
Invariant Theory for Non-Associative Real Two-Dimensional Algebras and Its Applications
      
As applications, we discuss the cases where H is finite or a classical group.
      
On Decomposition Theorems for Hardy Spaces on Domains in ?n and Applications
      
We consider applications to extensions of generalized projection operators as well as to sampling series.
      
Vector Potential Theory on Nonsmooth Domains in R3 and Applications to Electromagnetic Scattering
      
We also discuss a number of relevant applications in electromagnetic scattering.
      
Some remarks on applications to matrices of operators are made.
      
Vector potential theory on nonsmooth domains in R3 and applications to electromagnetic scattering
      
Some remarks on applications to matrices of operators are made.
      
As applications, the wave equation on?+ × ?+ and the heat equation in a semi-infinite rod are considered in detail.
      
The Discrete Wavelet Transform (DWT) is of considerable practical use in image and signal processing applications.
      
In this paper we present two applications of a Stability Theorem of Hilbert frames to nonharmonic Fourier series and wavelet Riesz basis.
      
The first result is an enhancement of the Paley-Wiener type constant for nonharmonic series given by Duffin and Schaefer in [6] and used recently in some applications (see [3]).
      
Perturbation of operators and applications to frame theory
      
Applications to compactly supported biorthogonal wavelet decompositions of families of Besov spaces are also given.
      
Flatness of domains and doubling properties of measures supported on their boundary, with applications to harmonic measure
      
 

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