IMASL 20939
INSTITUTO DE MATEMATICA APLICADA DE SAN LUIS "PROF. EZIO MARCHI"
Unidad Ejecutora - UE
artículos
Título:
Orthogonal wavelet vectors and multiresolution analysis in Hilbert spaces
Autor/es:
MORILLAS PATRICIA MARIELA
Revista:
International Journal of Mathematical Sciences
Editorial:
Serials Publications
Referencias:
Lugar: Nueva Delhi; Año: 2010 vol. 9 p. 279 - 297
ISSN:
0972-754X
Resumen:
We study orthogonal wavelet vectors, multiresolution analysis andscaling vectors in a separable Hilbert space, associated with a pairof unitary operators. Refinement equations, decomposition andreconstruction algorithms and filters are revisited in this abstractsetting. We characterize the orthogonal wavelet vectors that can beobtained from a given multiresolution analysis with a scalingvector. Unitary parametrization and equivalence of multiresolutionanalysis are considered.
