Add to ORKGMotivated by the multivariate wavelet theory, and by the spectral theory of transfer operators, we construct an abstract affine structure and a multiresolution associated to a matrix-valued weight. We describe the one-to-one correspondence between the commutant of this structure and the fixed points of the transfer operator. We show how the covariant representation can be realized on ℝn if the weight satisfies some low-pass condition. © 2008 Birkhaueser
Probably the most important property of wavelets for signal processing is their multiscale derivativ...
Using the system theory notion of state-space realization of matrix-valued rational functions, we de...
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Probably the most important property of wavelets for signal processing is their multiscale derivativ...
Using the system theory notion of state-space realization of matrix-valued rational functions, we de...
Let a =(a1,a2,…,am)∈ℂm be an m-dimensional vector. Then, it can be identified with an m×m circulant...
Motivated by the multivariate wavelet theory, and by the spectral theory of transfer operators, we c...
The paper develops theory of covariant transform, which is inspired by the wavelet construction. It ...
We focus on the irreducibility of wavelet representations. We present some connections between the f...
We analyze matrix-valued transfer operators. We prove that the fixed points of transfer operators fo...
AbstractWe analyze matrix-valued transfer operators. We prove that the fixed points of transfer oper...
We analyze matrix-valued transfer operators. We prove that the fixed points of transfer operators fo...
Abstract We identify multiresolution subspaces giving rise via Hankel transforms to Bessel functions...
Journal PaperFundamental to the theory of joint signal representations is the idea of associating ...
AbstractWe show that every biorthogonal wavelet determines a representation by operators on Hilbert ...
AbstractIn this paper, we introduce matrix-valued multi-resolution structure and matrix-valued bivar...
AbstractMotivated by wavelet analysis, we prove that there is a one-to-one correspondence between th...
We study the reducibility of the wavelet representation associated to various QMF filters, including...
Probably the most important property of wavelets for signal processing is their multiscale derivativ...
Using the system theory notion of state-space realization of matrix-valued rational functions, we de...
Let a =(a1,a2,…,am)∈ℂm be an m-dimensional vector. Then, it can be identified with an m×m circulant...