Foundations of Time-Frequency Analysis / by Karlheinz Gröchenig
(Applied and Numerical Harmonic Analysis)
| データ種別 | 電子ブック |
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| 出版情報 | Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser , 2001 |
| 本文言語 | 英語 |
| 大きさ | XVI, 360 p : online resource |
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| 一般注記 | Time-frequency analysis is a modern branch of harmonic analysis. It com prises all those parts of mathematics and its applications that use the struc ture of translations and modulations (or time-frequency shifts) for the anal ysis of functions and operators. Time-frequency analysis is a form of local Fourier analysis that treats time and frequency simultaneously and sym metrically. My goal is a systematic exposition of the foundations of time-frequency analysis, whence the title of the book. The topics range from the elemen tary theory of the short-time Fourier transform and classical results about the Wigner distribution via the recent theory of Gabor frames to quantita tive methods in time-frequency analysis and the theory of pseudodifferential operators. This book is motivated by applications in signal analysis and quantum mechanics, but it is not about these applications. The main ori entation is toward the detailed mathematical investigation of the rich and elegant structures underlying time-frequency analysis. Time-frequency analysis originates in the early development of quantum mechanics by H. Weyl, E. Wigner, and J. von Neumann around 1930, and in the theoretical foundation of information theory and signal analysis by D |
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| 著者標目 | *Gröchenig, Karlheinz author SpringerLink (Online service) |
| 件 名 | LCSH:Engineering LCSH:Topological groups LCSH:Lie groups LCSH:Operations research LCSH:Management science LCSH:Electrical engineering FREE:Engineering FREE:Signal, Image and Speech Processing FREE:Topological Groups, Lie Groups FREE:Operations Research, Management Science FREE:Electrical Engineering |
| 分 類 | DC23:621.382 |
| 巻冊次 | ISBN:9781461200031 
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| ISBN | 9781461200031 |
| URL | http://dx.doi.org/10.1007/978-1-4612-0003-1 |
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