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Titlebook: Representations, Wavelets, and Frames; A Celebration of the Palle E. T. Jorgensen,Kathy D. Merrill,Judith A. P Book 2008 Birkhäuser Boston

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发表于 2025-3-21 19:54:05 | 显示全部楼层 |阅读模式
书目名称Representations, Wavelets, and Frames
副标题A Celebration of the
编辑Palle E. T. Jorgensen,Kathy D. Merrill,Judith A. P
视频video
概述Contributed volume comprised of the work of prominent researchers.Discusses both theoretical and applied harmonic analysis including, wavelets and frames.Includes recent applications to problems in sa
丛书名称Applied and Numerical Harmonic Analysis
图书封面Titlebook: Representations, Wavelets, and Frames; A Celebration of the Palle E. T. Jorgensen,Kathy D. Merrill,Judith A. P Book 2008 Birkhäuser Boston
描述.Representations, Wavelets, and Frames. contains chapters pertaining to this theme from experts and expositors of renown in mathematical analysis and representation theory. Topics are selected with an emphasis on fundamental and timeless techniques with a geometric and spectral-theoretic flavor. The material is self-contained and presented in a pedagogical style that is accessible to students from both pure and applied mathematics while also of interest to engineers...Contributors: C. Benson, M. Bownik, V. Furst, V. W. Guillemin, B. Han, C. Heil, J.A. Hogan, P.E.T. Jorgensen, K. Kornelson, J.D. Lakey, D.R. Larson, K.D. Merrill, J.A. Packer, G. Ratcliff, K. Shuman, M.-S. Song, D.W. Stroock, K.F. Taylor, E. Weber, X. Zhang..
出版日期Book 2008
关键词Gelfand pair; Interpolation; Symbol; communication; harmonic analysis; image processing; signal analysis
版次1
doihttps://doi.org/10.1007/978-0-8176-4683-7
isbn_ebook978-0-8176-4683-7Series ISSN 2296-5009 Series E-ISSN 2296-5017
issn_series 2296-5009
copyrightBirkhäuser Boston 2008
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发表于 2025-3-22 00:12:31 | 显示全部楼层
The Density Theorem and the Homogeneous Approximation Property for Gabor Frameshe Density Theorem and a detailed account of the proofs of Ramanathan and Steger. Furthermore, we show that the techniques of Ramanathan and Steger can be used to give a full proof of a general version of Density Theorem for irregular Gabor frames in higher dimensions and with finitely many generators.
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A Survey of Projective Multiresolution Analyses and a Projective Multiresolution Analysis Correspondbut the in the quincunx case, the one-dimensional wavelet module is free, whereas in the case corresponding to the dilation matrix whose determinant is negative, the one-dimensional wavelet module is not free either.
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Book 2008nterest to engineers...Contributors: C. Benson, M. Bownik, V. Furst, V. W. Guillemin, B. Han, C. Heil, J.A. Hogan, P.E.T. Jorgensen, K. Kornelson, J.D. Lakey, D.R. Larson, K.D. Merrill, J.A. Packer, G. Ratcliff, K. Shuman, M.-S. Song, D.W. Stroock, K.F. Taylor, E. Weber, X. Zhang..
发表于 2025-3-22 22:38:50 | 显示全部楼层
Gelfand Pairs Associated with Finite Heisenberg Groups convolution. This is equivalent to the restriction of the oscillator representation to . being multiplicity free. An interesting example of this type occurs with . a finite analog of the unitary group .(.).
发表于 2025-3-23 01:25:26 | 显示全部楼层
Wavelet Transforms and Admissible Group Representationsure possess an analogous admissibility condition. In particular, we show that the group performing the role of translations must satisfy an admissibility property. Finally, we relate these results to several notions of multiresolution.
发表于 2025-3-23 07:46:59 | 显示全部楼层
Gelfand Pairs Associated with Finite Heisenberg Groupsmplectic group .(., F) acts on . by automorphisms. A subgroup . of .(., F) yields a Gelfand pair (.) when the .-invariant functions on . commute under convolution. This is equivalent to the restriction of the oscillator representation to . being multiplicity free. An interesting example of this type
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