Use this identifier to quote or link this document: http://hdl.handle.net/2072/13073

Title:	Generalized multiresolution analyses with given multiplicity functions
Author:	Baggett, Lawrence W.; Larsen, Nadia S.; Merrill, Kathy D.; Packer, Judith A.; Raeburn, Iain
Other authors:	Centre de Recerca Matemàtica
Resum:	Generalized multiresolution analyses are increasing sequences of subspaces of a Hilbert space H that fail to be multiresolution analyses in the sense of wavelet theory because the core subspace does not have an orthonormal basis generated by a fixed scaling function. Previous authors have studied a multiplicity function m which, loosely speaking, measures the failure of the GMRA to be an MRA. When the Hilbert space H is L2(Rn), the possible multiplicity functions have been characterized by Baggett and Merrill. Here we start with a function m satisfying a consistency condition which is known to be necessary, and build a GMRA in an abstract Hilbert space with multiplicity function m.
Publication date:	2008-04
Subject (UDC):	517 - Anàlisi
Subject(s):	Hilbert, Espais de Fourier, Anàlisi de Operadors lineals
Rights:	Aquest document està subjecte a una llicència d'ús de Creative Commons, amb la qual es permet copiar, distribuir i comunicar públicament l'obra sempre que se'n citin l'autor original, la universitat i el centre i no se'n faci cap ús comercial ni obra derivada, tal com queda estipulat en la llicència d'ús (http://creativecommons.org/licenses/by-nc-nd/2.5/es/)
Document type:	Preprint
Share:

Full text files in this document

Show full item record