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 |  |
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 |
doi | https://doi.org/10.1007/978-3-319-18863-8 |
isbn_softcover | 978-3-319-35596-2 |
isbn_ebook | 978-3-319-18863-8Series ISSN 2296-5009 Series E-ISSN 2296-5017 |
issn_series | 2296-5009 |
copyright | Springer International Publishing Switzerland 2015 |