Zobrazeno 1 - 10
of 51
pro vyhledávání: '"Lawrence W. Baggett"'
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e727f5f46557d3aae5081aad1f077781
http://arxiv.org/abs/2002.03047
http://arxiv.org/abs/2002.03047
Publikováno v:
Journal of Functional Analysis. 258(12):4210-4228
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1bead0781d35bff9e1028419d400f3ad
Publikováno v:
Journal of Functional Analysis. 258:2714-2738
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6f235cf177aaf97862d4b65f0e43df5a
https://doi.org/10.1016/j.jfa.2009.08.011
https://doi.org/10.1016/j.jfa.2009.08.011
Autor:
Lawrence W. Baggett
Publikováno v:
Colloquium Mathematicum. 118:133-145
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aae1a14071570de44ef680a738165714
https://doi.org/10.4064/cm118-1-6
https://doi.org/10.4064/cm118-1-6
Publikováno v:
Acta Applicandae Mathematicae. 89:251-270
A generalized filter construction is used to build an example of a non-MRA normalized tight frame wavelet for dilation by 2 in $$L^{2} {\left( \mathbb{R} \right)}$$ . This example has the same multiplicity function as the Journe wavelet, yet has a $$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::73725f4bb577e387667a03143d15513f
https://doi.org/10.1007/s10440-005-9011-4
https://doi.org/10.1007/s10440-005-9011-4
Publikováno v:
Applied and Computational Harmonic Analysis. 13(3):201-223
The classical constructions of wavelets and scaling functions from conjugate mirror filters are extended to settings that lack multiresolution analyses. Using analogues of the classical filter conditions, generalized mirror filters are defined in the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fd0ba5f596a33e20e450f5b8e789531b
Autor:
Lawrence W. Baggett
Publikováno v:
Journal of Functional Analysis. 173(1):1-20
Methods from abstract harmonic analysis are used to derive a new formulation of the wavelet dimension function and its natural generalizations to higher dimensions. By means of this abstract description, necessary and sufficient conditions are derive
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::180b7dbadca2f3d80546b0bd116567a6
Publikováno v:
The Journal of Fourier Analysis and Applications. 5:563-573
An abstract formulation of generalized multiresolution analyses is presented, and those GMRAs that come from multiwavelets are characterized. As an application of this abstract formulation, a constructive procedure is developed, which produces all wa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3b7ada362165e2f9f494e4b1c5950b5a
https://doi.org/10.1007/bf01257191
https://doi.org/10.1007/bf01257191
Autor:
Lawrence W. Baggett, Kathy D. Merrill
Publikováno v:
The Functional and Harmonic Analysis of Wavelets and Frames. :17-27
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::708cc42c3259eb8d6bc637d083f712f9
https://doi.org/10.1090/conm/247/03795
https://doi.org/10.1090/conm/247/03795
Publikováno v:
Proceedings of the American Mathematical Society. 126:2909-2918
A new description of cohomology of functions under an irrational rotation is given in terms of symmetry properties of the functions on subintervals of [ 0 , 1 ] . [0,1]. This description yields a method for passing information about the cohomology cl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::be24dbfbe837685240087a47f081bff8
https://doi.org/10.1090/s0002-9939-98-04424-4
https://doi.org/10.1090/s0002-9939-98-04424-4