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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 Birkh?user Boston

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發(fā)表于 2025-3-21 19:54:05 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Representations, Wavelets, and Frames
副標題A Celebration of the
編輯Palle E. T. Jorgensen,Kathy D. Merrill,Judith A. P
視頻videohttp://file.papertrans.cn/828/827506/827506.mp4
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
叢書名稱Applied and Numerical Harmonic Analysis
圖書封面Titlebook: Representations, Wavelets, and Frames; A Celebration of the Palle E. T. Jorgensen,Kathy D. Merrill,Judith A. P Book 2008 Birkh?user 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
關鍵詞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
copyrightBirkh?user Boston 2008
The information of publication is updating

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發(fā)表于 2025-3-22 00:12:31 | 只看該作者
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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發(fā)表于 2025-3-22 13:16:01 | 只看該作者
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發(fā)表于 2025-3-22 18:43:03 | 只看該作者
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..
8#
發(fā)表于 2025-3-22 22:38:50 | 只看該作者
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 .(.).
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發(fā)表于 2025-3-23 01:25:26 | 只看該作者
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.
10#
發(fā)表于 2025-3-23 07:46:59 | 只看該作者
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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