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:
Frames (Vector analysis)
Operator theory.
Wavelets (Mathematics)
Representations of groups.
Cadres (Analyse vectorielle)
Théorie des opérateurs.
Ondelettes.
Représentations de groupes.
Operator theory
Representations of groups
Acceso en línea:Texto completo
Descripción
Sumario: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.
Notas:"Volume 147, number 697 (first of 4 numbers)."
Descripción Física:1 online resource (ix, 94 pages)
Bibliografía:Includes bibliographical references (pages 93-94).
ISBN:9781470402884
1470402882
ISSN:1947-6221 ;
0065-9266

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