The Resource Harmonic and Applied Analysis : From Groups to Signals, edited by Stephan Dahlke, Filippo De Mari, Philipp Grohs, Demetrio Labate, (electronic resource)

Harmonic and Applied Analysis : From Groups to Signals, edited by Stephan Dahlke, Filippo De Mari, Philipp Grohs, Demetrio Labate, (electronic resource)

Label
Harmonic and Applied Analysis : From Groups to Signals
Title
Harmonic and Applied Analysis
Title remainder
From Groups to Signals
Statement of responsibility
edited by Stephan Dahlke, Filippo De Mari, Philipp Grohs, Demetrio Labate
Contributor
Editor
Provider
Subject
Language
eng
Summary
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 to provide a precise geometric characterization of edges and interface boundaries in images and other multidimensional data Mathematical 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 textbook for graduate courses in applied harmonic analysis
Member of
Image bit depth
0
LC call number
QA403-403.3
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Dahlke, Stephan.
  • De Mari, Filippo.
  • Grohs, Philipp.
  • Labate, Demetrio.
  • SpringerLink
Series statement
Applied and Numerical Harmonic Analysis,
Series volume
68
http://library.link/vocab/subjectName
  • Mathematics
  • Group theory
  • Topological groups
  • Lie groups
  • Harmonic analysis
  • Fourier analysis
  • Mathematics
  • Abstract Harmonic Analysis
  • Fourier Analysis
  • Group Theory and Generalizations
  • Topological Groups, Lie Groups
  • Signal, Image and Speech Processing
Label
Harmonic and Applied Analysis : From Groups to Signals, edited by Stephan Dahlke, Filippo De Mari, Philipp Grohs, Demetrio Labate, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
From Group Representations to Signal Analysis -- The Use of Representations in Applied Harmonic Analysis -- Shearlet Coorbit Theory -- Efficient Analysis and Detection of Edges through Directional Multiscale Representations -- Optimally Sparse Data Representations
Dimensions
unknown
Edition
1st ed. 2015.
Extent
XV, 258 p. 13 illus., 11 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783319188638
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-18863-8
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-18863-8
Label
Harmonic and Applied Analysis : From Groups to Signals, edited by Stephan Dahlke, Filippo De Mari, Philipp Grohs, Demetrio Labate, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
From Group Representations to Signal Analysis -- The Use of Representations in Applied Harmonic Analysis -- Shearlet Coorbit Theory -- Efficient Analysis and Detection of Edges through Directional Multiscale Representations -- Optimally Sparse Data Representations
Dimensions
unknown
Edition
1st ed. 2015.
Extent
XV, 258 p. 13 illus., 11 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783319188638
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-18863-8
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-18863-8

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