Language:
English
繁體中文
Help
Login
Back
Switch To:
Labeled
|
MARC Mode
|
ISBD
Harmonic and Applied Analysis = From...
~
De Mari, Filippo.
Harmonic and Applied Analysis = From Groups to Signals /
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Harmonic and Applied Analysis/ edited by Stephan Dahlke, Filippo De Mari, Philipp Grohs, Demetrio Labate.
Reminder of title:
From Groups to Signals /
other author:
Dahlke, Stephan.
Description:
XV, 256 p. 13 illus., 11 illus. in color.online resource. :
Contained By:
Springer Nature eBook
Subject:
Harmonic analysis. -
Online resource:
https://doi.org/10.1007/978-3-319-18863-8
ISBN:
9783319188638
Harmonic and Applied Analysis = From Groups to Signals /
Harmonic and Applied Analysis
From Groups to Signals /[electronic resource] :edited by Stephan Dahlke, Filippo De Mari, Philipp Grohs, Demetrio Labate. - 1st ed. 2015. - XV, 256 p. 13 illus., 11 illus. in color.online resource. - Applied and Numerical Harmonic Analysis,2296-5009. - Applied and Numerical Harmonic Analysis,.
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.
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.
ISBN: 9783319188638
Standard No.: 10.1007/978-3-319-18863-8doiSubjects--Topical Terms:
672073
Harmonic analysis.
LC Class. No.: QA403-403.3
Dewey Class. No.: 515.785
Harmonic and Applied Analysis = From Groups to Signals /
LDR
:03726nam a22004095i 4500
001
960495
003
DE-He213
005
20200704223636.0
007
cr nn 008mamaa
008
201211s2015 gw | s |||| 0|eng d
020
$a
9783319188638
$9
978-3-319-18863-8
024
7
$a
10.1007/978-3-319-18863-8
$2
doi
035
$a
978-3-319-18863-8
050
4
$a
QA403-403.3
072
7
$a
PBKD
$2
bicssc
072
7
$a
MAT034000
$2
bisacsh
072
7
$a
PBKD
$2
thema
082
0 4
$a
515.785
$2
23
245
1 0
$a
Harmonic and Applied Analysis
$h
[electronic resource] :
$b
From Groups to Signals /
$c
edited by Stephan Dahlke, Filippo De Mari, Philipp Grohs, Demetrio Labate.
250
$a
1st ed. 2015.
264
1
$a
Cham :
$b
Springer International Publishing :
$b
Imprint: Birkhäuser,
$c
2015.
300
$a
XV, 256 p. 13 illus., 11 illus. in color.
$b
online resource.
336
$a
text
$b
txt
$2
rdacontent
337
$a
computer
$b
c
$2
rdamedia
338
$a
online resource
$b
cr
$2
rdacarrier
347
$a
text file
$b
PDF
$2
rda
490
1
$a
Applied and Numerical Harmonic Analysis,
$x
2296-5009
505
0
$a
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.
520
$a
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.
650
0
$a
Harmonic analysis.
$3
672073
650
0
$a
Fourier analysis.
$3
639284
650
0
$a
Group theory.
$3
527791
650
0
$a
Topological groups.
$3
885827
650
0
$a
Lie groups.
$3
527929
650
0
$a
Signal processing.
$3
561459
650
0
$a
Image processing.
$3
557495
650
0
$a
Speech processing systems.
$3
564428
650
1 4
$a
Abstract Harmonic Analysis.
$3
672075
650
2 4
$a
Fourier Analysis.
$3
672627
650
2 4
$a
Group Theory and Generalizations.
$3
672112
650
2 4
$a
Topological Groups, Lie Groups.
$3
672074
650
2 4
$a
Signal, Image and Speech Processing.
$3
670837
700
1
$a
Dahlke, Stephan.
$4
edt
$4
http://id.loc.gov/vocabulary/relators/edt
$3
1069815
700
1
$a
De Mari, Filippo.
$e
editor.
$4
edt
$4
http://id.loc.gov/vocabulary/relators/edt
$3
1254483
700
1
$a
Grohs, Philipp.
$e
editor.
$4
edt
$4
http://id.loc.gov/vocabulary/relators/edt
$3
1254484
700
1
$a
Labate, Demetrio.
$4
edt
$4
http://id.loc.gov/vocabulary/relators/edt
$3
891547
710
2
$a
SpringerLink (Online service)
$3
593884
773
0
$t
Springer Nature eBook
776
0 8
$i
Printed edition:
$z
9783319188621
776
0 8
$i
Printed edition:
$z
9783319188645
776
0 8
$i
Printed edition:
$z
9783319355962
830
0
$a
Applied and Numerical Harmonic Analysis,
$x
2296-5009
$3
1254485
856
4 0
$u
https://doi.org/10.1007/978-3-319-18863-8
912
$a
ZDB-2-SMA
912
$a
ZDB-2-SXMS
950
$a
Mathematics and Statistics (SpringerNature-11649)
950
$a
Mathematics and Statistics (R0) (SpringerNature-43713)
based on 0 review(s)
Multimedia
Reviews
Add a review
and share your thoughts with other readers
Export
pickup library
Processing
...
Change password
Login