{"product_id":"9783319355962","title":"Applied and Numerical Harmonic Analysis: From Groups to Signals","description":"\u003ch1\u003eApplied and Numerical Harmonic Analysis: From Groups to Signals\u003c\/h1\u003e \u003ch2\u003eDahlke, Stephan; De Mari, Filippo; Grohs, Philipp; Labate, Demetrio\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis 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.\u003c\/p\u003e\u003cp\u003eAfter an introductory chapter surveying the scientific significance of  classical and more advanced multiscale methods, chapters cover such topics as\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eAn 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\u003c\/li\u003e\n\u003cli\u003eAn introduction to coorbit theory and how it can be combined with the shearlet transform to establish shearlet coorbit spaces\u003c\/li\u003e\n\u003cli\u003eMicrolocal properties of the shearlet transform and its ability to provide a precise geometric characterization of edges and interface boundaries in images and other multidimensional data\u003c\/li\u003e\n\u003cli\u003eMathematical techniques to construct optimal data representations for a number of signal types, with a focus on the optimal approximation of functions governed by anisotropic singularities.\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003eA unified notation is used across all of the chapters to ensure consistency of the mathematical material presented.\u003c\/p\u003e\u003cp\u003e\u003ci\u003eHarmonic and Applied Analysis: From Groups to Signals \u003c\/i\u003eis aimed at graduate students and researchers in the areas of harmonic analysis and applied mathematics, as well as at other applied scientists interested in representations of multidimensional data. It can also be used as a textbook\u003c\/p\u003efor graduate courses in applied harmonic analysis.​\u003cp\u003e\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Birkhäuser\u003c\/p\u003e \u003cp\u003ePublication Date: 2016-10-22\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783319355962\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-319-18863-8\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 256\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":45417050472588,"sku":"9783319355962","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783319355962.jpg?v=1775740886","url":"https:\/\/lateknightbooks.com\/products\/9783319355962","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}