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The abc-problem for Gabor systems /
A longstanding problem in Gabor theory is to identify time-frequency shifting lattices a\mathbb{Z}\times b\mathbb{Z} and ideal window functions \chi_I on intervals I of length c such that \{e^{-2\pi i n bt} \chi_I(t- m a):\ (m, n)\in \mathbb{Z}\times \mathbb{Z}\} are Gabor frames for the space of al...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
2016.
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 1152. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Dai, Xin-Rong, |d 1971- |e author. | |
| 245 | 1 | 4 | |a The abc-problem for Gabor systems / |c Xin-Rong Dai, Qiyu Sun. |
| 264 | 1 | |a Providence, Rhode Island : |b American Mathematical Society, |c 2016. | |
| 264 | 4 | |c ©2016 | |
| 300 | |a 1 online resource (ix, 99 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 0065-9266 ; |v volume 244, number 1152 | |
| 588 | 0 | |a Print version record. | |
| 500 | |a "Volume 244, number 1152 (first of 4 numbers), November 2016." | ||
| 500 | |a Keywords: abc problem for Gabor systems, Gabor frames, infinite matrices, piecewise linear transformation, ergodic theorem, sampling, shift-invariant spaces. | ||
| 504 | |a Includes bibliographical references (pages 97-99). | ||
| 505 | 0 | |a Introduction -- Gabor frames and infinite matrices -- Maximal invariant sets -- Piecewise linear transformations -- Maximal invariant sets with irrational time shifts -- Maximal invariant sets with rational time shifts -- The abc-problem for Gabor systems -- Appendix A. Algorithm -- Appendix B. Uniform sampling of signals in a shift-invariant space -- Bibliography. | |
| 520 | |a A longstanding problem in Gabor theory is to identify time-frequency shifting lattices a\mathbb{Z}\times b\mathbb{Z} and ideal window functions \chi_I on intervals I of length c such that \{e^{-2\pi i n bt} \chi_I(t- m a):\ (m, n)\in \mathbb{Z}\times \mathbb{Z}\} are Gabor frames for the space of all square-integrable functions on the real line. In this paper, the authors create a time-domain approach for Gabor frames, introduce novel techniques involving invariant sets of non-contractive and non-measure-preserving transformations on the line, and provide a complete answer to the above abc-pro. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Wavelets (Mathematics) | |
| 650 | 0 | |a Gabor transforms. | |
| 650 | 0 | |a Matrices. | |
| 650 | 6 | |a Ondelettes. | |
| 650 | 6 | |a Transformées de Gabor. | |
| 650 | 6 | |a Matrices. | |
| 650 | 7 | |a Gabor transforms |2 fast | |
| 650 | 7 | |a Matrices |2 fast | |
| 650 | 7 | |a Wavelets (Mathematics) |2 fast | |
| 700 | 1 | |a Sun, Qiyu, |d 1966- |e author. | |
| 710 | 2 | |a American Mathematical Society, |e publisher. | |
| 758 | |i has work: |a The abc-problem for Gabor systems (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGrVJdCrFhpXJ8g8YXtqHy |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Dai, Xin-Rong, 1971- |t Abc-problem for Gabor systems. |d Providence, Rhode Island : American Mathematical Society, 2016 |z 9781470420154 |w (DLC) 2016031123 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 1152. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=4901871 |z Texto completo |
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