- Nyhet
Harmonic and Applied Analysis
From Groups to Signals
AvStephan Dahlke,Filippo De Mari
Inbunden, Engelska, 2015
Del i serien Applied and Numerical Harmonic Analysis
556 kr
Beställningsvara. Skickas inom 10-15 vardagar. Fri frakt över 249 kr.
Beskrivning
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 asAn 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 groupAn introduction to coorbit theory and how it can be combined with the shearlet transform to establish shearlet coorbit spacesMicrolocal properties of the shearlet transform and its ability to provide a precise geometric characterization of edges and interface boundaries in images and other multidimensional dataMathematical 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.A unified notation is used across all of the chapters to ensure consistency of the mathematical material presented.Harmonic and Applied Analysis: From Groups to Signals is 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 textbookfor graduate courses in applied harmonic analysis.
Produktinformation
Utforska kategorier
Mer om författaren
Innehållsförteckning
Hoppa över listan
Du kanske också är intresserad av
Harmonic and Applied Analysis
Demetrio Labate, Philipp Grohs, Filippo De Mari, Stephan Dahlke
E-bok
2015710 kr
Harmonic and Applied Analysis
Stephan Dahlke, Filippo De Mari, Philipp Grohs, Demetrio Labate
Häftad, 2016
556 kr
Extraction of Quantifiable Information from Complex Systems
Harry Yserentant, Christoph Schwab, Reinhold Schneider, Klaus Ritter, Wolfgang Hackbusch, Michael Griebel, Wolfgang Dahmen, Stephan Dahlke
E-bok
2014718 kr
Del 102
Extraction of Quantifiable Information from Complex Systems
Stephan Dahlke, Wolfgang Dahmen, Michael Griebel, Wolfgang Hackbusch, Klaus Ritter, Reinhold Schneider, Christoph Schwab, Harry Yserentant
Häftad, 2016
556 kr
Del 102
Extraction of Quantifiable Information from Complex Systems
Stephan Dahlke, Wolfgang Dahmen, Michael Griebel, Wolfgang Hackbusch, Klaus Ritter, Reinhold Schneider, Christoph Schwab, Harry Yserentant
Inbunden, 2014
556 kr
Handbook of Variational Methods for Nonlinear Geometric Data
Andreas Weinmann, Martin Holler, Philipp Grohs
E-bok
20202 862 kr
Proof That Artificial Neural Networks Overcome the Curse of Dimensionality in the Numerical Approximation of Black-Scholes Partial Differential Equations
Philipp Grohs, Fabian Hornung, Arnulf Jentzen, Philippe von Wurstemberger
Häftad, 2023
1 022 kr