Frames, bases, and group representations /
We develop an operator-theoretic approach to discrete frame theory on a separable Hilbert space. We then apply this to an investigation of the structural properties of systems of unitary operators on Hilbert space which are related to orthonormal wavelet theory. We also obtain applications of frame...
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Providence, R.I. :
American Mathematical Society,
2000
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| Series: | Memoirs of the American Mathematical Society ;
no. 697. |
| Subjects: | |
| Local Note: | ProQuest Ebook Central |
MARC
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| 100 | 1 | |a Han, Deguang, |d 1959- |1 https://id.oclc.org/worldcat/entity/E39PCjBwK4kGpmkQwfcdF96Kbd | |
| 245 | 1 | 0 | |a Frames, bases, and group representations / |c Deguang Han, David R. Larson. |
| 260 | |a Providence, R.I. : |b American Mathematical Society, |c 2000. | ||
| 300 | |a 1 online resource (ix, 94 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
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| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 1947-6221 ; |v v. 697 | |
| 500 | |a "Volume 147, number 697 (first of 4 numbers)." | ||
| 504 | |a Includes bibliographical references (pages 93-94). | ||
| 505 | 0 | 0 | |t Introduction |t 1. Basic theory for frames |t 2. Complementary frames and disjointness |t 3. Frame vectors for unitary systems |t 4. Gabor type unitary systems |t 5. Frame wavelets, super-wavelets and frame sets |t 6. Frame representations for groups |t 7. Concluding remarks. |
| 520 | 8 | |a We develop an operator-theoretic approach to discrete frame theory on a separable Hilbert space. We then apply this to an investigation of the structural properties of systems of unitary operators on Hilbert space which are related to orthonormal wavelet theory. We also obtain applications of frame theory to group representations, and of the theory of abstract unitary systems to frames generated by Gabor type systems. | |
| 588 | 0 | |a Print version record. | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Frames (Vector analysis) | |
| 650 | 0 | |a Operator theory. | |
| 650 | 0 | |a Wavelets (Mathematics) | |
| 650 | 0 | |a Representations of groups. | |
| 700 | 1 | |a Larson, David R., |d 1942- |1 https://id.oclc.org/worldcat/entity/E39PCjrmfXTtJ4cxxmw8BFkGQC | |
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| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 697. |x 0065-9266 | |
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