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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Han, Deguang, 1959-
Otros Autores: Larson, David R., 1942-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, R.I. : American Mathematical Society, 2000.
Colección:Memoirs of the American Mathematical Society ; no. 697.
Temas:
Acceso en línea:Texto completo

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) 
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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). 
588 0 |a Print version record. 
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. 
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. 
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. 
650 6 |a Cadres (Analyse vectorielle) 
650 6 |a Théorie des opérateurs. 
650 6 |a Ondelettes. 
650 6 |a Représentations de groupes. 
650 7 |a Frames (Vector analysis)  |2 fast 
650 7 |a Operator theory  |2 fast 
650 7 |a Representations of groups  |2 fast 
650 7 |a Wavelets (Mathematics)  |2 fast 
700 1 |a Larson, David R.,  |d 1942-  |1 https://id.oclc.org/worldcat/entity/E39PCjrmfXTtJ4cxxmw8BFkGQC 
776 0 8 |i Print version:  |a Han, Deguang, 1959-  |t Frames, bases, and group representations /  |x 0065-9266  |z 9780821820674 
830 0 |a Memoirs of the American Mathematical Society ;  |v no. 697.  |x 0065-9266 
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