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The proof is based on a variant of Moser's method using time-dependent vector fields.
      
The classification of infinite-dimensional simple linearly compact Lie superalgebras given in [K2] is based on this result.
      
This construction is based on the notion of a certain duality between compact and non-compact homogeneous spaces.
      
Our proof is based on a different approach and is much more rigorous.
      
We suggest a geometrical approach to the semi-invariants of quivers based on Luna's slice theorem and the Luna-Richardson theorem.
      
Our approach is based on the study of the boundedness of integral kernel operators and extends the Strang-Fix theory, related to the approximation orders of principal shift-invariant spaces, to a wide variety of spaces.
      
These transformations are based on the multiresolution analysis paradigm of Mallat and Meyer and give rise to a method for constructing multiresolution analyses and orthogonal wavelets on an interval.
      
This work is motivated from and useful in object-based video coding, where a segmented moving object may have arbitrary shape and block transform coding of this object is needed.
      
The proof is based on the Heil and Walnut's representation of the frame operator and shows that it can be decomposed into a continuous family of infinite matrices.
      
Gibbs phenomenon on sampling series based on Shannon's and Meyer's wavelet analysis
      
The connection with multiresolution wavelet analysis is based on families of pseudodilations of a different type.
      
The first one is based on the use of the generalized Calderón reproducing formula and multidimensional fractional integrals with a Bessel function in the kernel.
      
We establish the characterization of the weighted Triebel-Lizorkin spaces for p=∞ by means of a "generalized" Littlewood-Paley function which is based on a kernel satisfying "minimal" moment and Tauberian conditions.
      
We present an algorithm which, based on certain properties of analytic dependence, constructs boundary perturbation expansions of arbitrary order for eigenfunctions of elliptic PDEs.
      
The investigation is based on the stability of Riesz bases of cosines and sines in the Hibert space L2[0,π].
      
Based on it the authors establish inhomogeneous discrete Calderón reproducing formulas for spaces of homogeneous type, making use of Calderón-Zygmund operators.
      
This description is based on a one-to-one correspondence between the set of all solutions of the Covariance Extension Problem and the set of all contractive analytic functions H from the open unit disk with values on the space of q × q matrices.
      
The proofs are based on sharp estimates of the derivatives of the Riesz kernel.
      
Anewwavelet-based geometric mesh compression algorithm was developed recently in the area of computer graphics by Khodakovsky, Schr?der, and Sweldens in their interesting article [23].
      
Riesz property plays an important role in any wavelet-based compression algorithm and is critical for the stability of any wavelet-based numerical algorithms.
      
 

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