property 
The application arises because of a very strong homological property enjoyed by certain cell filtrations forqpermutation modules.


The Direct Summand Property in Modular Invariant Theory


Finite complex reflection groups have the remarkable property that the character field k of their reflection representation is a splitting field, that is, every irreducible complex representation can be realized over k.


The proof involves showing that a nonsymmetric version of the relevant integral is annihilated by a suitable ideal of the affine Hecke algebra, and that any such annihilated functional satisfies the desired vanishing property.


On Orthogonal Wavelets with the Oversampling Property


In this note, we consider orthogonal wavelets with the oversampling property.


An important property of this matrix is that the maximum and minimum eigenvalues are equal (in some sense) to the upper and lower frame bounds.


These functions share the property of having a dense set of discontinuities.


We study some explicit functions introduced by Riemann, Jordan, Lévy, Kahane… These functions share the property of having a dense set of discontinuities.


We characterize, for finite measure spaces, those orthonormal bases with the following positivity property: if f is a nonnegative function, then the partial sums in the expansion of f are nonnegative.


We also show that certain eigenfunctions have the property that they are a nonzero constant along certain lines contained in SG.


In 1991, Ingrid Daubechies asked whether there exists a smooth basis satisfying the global uncertainty principle property.


In the present article we prove that the cyclicity property is also sufficient for a subspace to admit a WH frame.


Riesz property plays an important role in any waveletbased compression algorithm and is critical for the stability of any waveletbased numerical algorithms.


When n is prime, we show that there exists an open, dense subset with fullmeasure of such generating vectors with the property that any subset of n vectors in the


The fundamental property of frames which makes them so useful is their overcompleteness.


Symbolic Calculus and Fredholm Property for Localization Operators


As the main application it is shown that, in general, a localization operator possesses the Fredholm property, and thus its range is closed in the target space.


Related fundamental principles in Gabor analysis are also surveyed, including the WexlerRaz biorthogonality relations, the Duality Principle, the BalianLow Theorem, the Walnut and Janssen representations, and the Homogeneous Approximation Property.


These wavelets have the nice property that all basic formulas of wavelet analysis as reproducing kernels, etc.

