Zobrazeno 1 - 10
of 37
pro vyhledávání: '"Baggett, Lawrence W."'
The wavelet group and wavelet representation associated with shifts coming from a two dimensional crystal symmetry group $\Gamma$ and dilations by powers of 3, are defined and studied. The main result is an explicit decomposition of the $3\Gamma-$wav
Externí odkaz:
http://arxiv.org/abs/2002.03047
The measure on generalized solenoids constructed using filters by Dutkay and Jorgensen is analyzed further by writing the solenoid as the product of a torus and a Cantor set. Using this decomposition, key differences are revealed between solenoid mea
Externí odkaz:
http://arxiv.org/abs/1011.0794
We discuss how generalized multiresolution analyses (GMRAs), both classical and those defined on abstract Hilbert spaces, can be classified by their multiplicity functions $m$ and matrix-valued filter functions $H$. Given a natural number valued func
Externí odkaz:
http://arxiv.org/abs/0910.5446
We study generalized filters that are associated to multiplicity functions and homomorphisms of the dual of an abelian group. These notions are based on the structure of generalized multiresolution analyses. We investigate when the Ruelle operator co
Externí odkaz:
http://arxiv.org/abs/0812.2042
A multiresolution analysis for a Hilbert space realizes the Hilbert space as the direct limit of an increasing sequence of closed subspaces. In a previous paper, we showed how, conversely, direct limits could be used to construct Hilbert spaces which
Externí odkaz:
http://arxiv.org/abs/0809.0500
Generalized multiresolution analyses are increasing sequences of subspaces of a Hilbert space $\H$ that fail to be multiresolution analyses in the sense of wavelet theory because the core subspace does not have an orthonormal basis generated by a fix
Externí odkaz:
http://arxiv.org/abs/0710.2071
Publikováno v:
Proceedings of the American Mathematical Society, 1998 Oct 01. 126(10), 2909-2918.
Externí odkaz:
https://www.jstor.org/stable/119090
Publikováno v:
The American Mathematical Monthly, 1997 Jun 01. 104(6), 520-528.
Externí odkaz:
https://www.jstor.org/stable/2975079
Publikováno v:
Proceedings of the American Mathematical Society, 1996 Jan 01. 124(1), 89-93.
Externí odkaz:
https://www.jstor.org/stable/2161402