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Titlebook: Harmonic and Applied Analysis; From Groups to Signa Stephan Dahlke,Filippo De Mari,Demetrio Labate Book 2015 Springer International Publish

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书目名称Harmonic and Applied Analysis
副标题From Groups to Signa
编辑Stephan Dahlke,Filippo De Mari,Demetrio Labate
视频video
概述Highlights promising mathematical developments in harmonic analysis in the last decade brought about by the interplay among different areas of abstract and applied mathematics.A unified notation is us
丛书名称Applied and Numerical Harmonic Analysis
图书封面Titlebook: Harmonic and Applied Analysis; From Groups to Signa Stephan Dahlke,Filippo De Mari,Demetrio Labate Book 2015 Springer International Publish
描述.This contributed volume explores the connection between the theoretical aspects of harmonic analysis and the construction of advanced multiscale representations that have emerged in signal and image processing.  It highlights some of the most promising mathematical developments in harmonic analysis in the last decade brought about by the interplay among different areas of abstract and applied mathematics.  This intertwining of ideas is considered starting from the theory of unitary group representations and leading to the construction of very efficient schemes for the analysis of multidimensional data..After an introductory chapter surveying the scientific significance of  classical and more advanced multiscale methods, chapters cover such topics as.An overview of Lie theory focused on common applications in signal analysis, including the wavelet representation of the affine group, the Schrödinger representation of the Heisenberg group, and the metaplectic representation of the symplectic group.An introduction to coorbit theory and how it can be combined with the shearlet transform to establish shearlet coorbit spaces.Microlocal properties of the shearlet transform and its ability
出版日期Book 2015
关键词Coorbit Spaces; Fourier Analysis; Group Representation Theory; Harmonic Analysis; Lie Theory; Shearlets; S
版次1
doihttps://doi.org/10.1007/978-3-319-18863-8
isbn_softcover978-3-319-35596-2
isbn_ebook978-3-319-18863-8Series ISSN 2296-5009 Series E-ISSN 2296-5017
issn_series 2296-5009
copyrightSpringer International Publishing Switzerland 2015
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https://doi.org/10.1007/978-3-319-18863-8Coorbit Spaces; Fourier Analysis; Group Representation Theory; Harmonic Analysis; Lie Theory; Shearlets; S
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Applied and Numerical Harmonic Analysishttp://image.papertrans.cn/h/image/424310.jpg
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The Use of Representations in Applied Harmonic Analysis,rst review the basic notions and constructs of Lie theory and then present the main features of some of the most useful unitary representations, such as the wavelet representation of the affine group, the Schrödinger representation of the Heisenberg group, and the metaplectic representation. The emp
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