based 
The proof is based on a variant of Moser's method using timedependent vector fields.


The classification of infinitedimensional 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 noncompact homogeneous spaces.


Our proof is based on a different approach and is much more rigorous.


We suggest a geometrical approach to the semiinvariants of quivers based on Luna's slice theorem and the LunaRichardson theorem.


Our approach is based on the study of the boundedness of integral kernel operators and extends the StrangFix theory, related to the approximation orders of principal shiftinvariant 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 objectbased 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 TriebelLizorkin spaces for p=∞ by means of a "generalized" LittlewoodPaley 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 CalderónZygmund operators.


This description is based on a onetoone 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.


Anewwaveletbased 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 waveletbased compression algorithm and is critical for the stability of any waveletbased numerical algorithms.

