Harmonic and applied analysis : from groups to signals
著者
書誌事項
Harmonic and applied analysis : from groups to signals
(Applied and numerical harmonic analysis / series editor, John J. Benedetto)
Birkhäuser , Springer, c2015
大学図書館所蔵 全6件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
Other editors: Filippo De Mari, Philipp Grohs, Demetrio Labate
Some copies have different pagination: xv, 256 p
Includes bibliographical references and index
内容説明・目次
内容説明
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 Schroedinger 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.
目次
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.
「Nielsen BookData」 より