149 citations
- Fundación Ciencias Exactas y NaturalesAR10 papers
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- Institute of Astronomy and Space PhysicsAR2 papers
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4 papers · 1 filter
Density of the Set of Generators of Wavelet Systems
Carlos Cabrelli, Ursula Molter
Given a function in $ \LL^2(\R^d)$, the affine (wavelet) system generated by , associated to an invertible matrix and a lattice $\zG$, is the collection of functions $\{…
Local bases for refinable spaces
Carlos Cabrelli, Sigrid Heineken, Ursula Molter
We provide a new representation of a refinable shift invariant space with a compactly supported generator, in terms of functions with a special property of homogeneity. In particul…
Functions in Sampling Spaces
Cristina Blanco, Carlos Cabrelli, Sigrid Heineken
Sampling theory in spaces other than the space of band-limited functions has recently received considerable attention. This is in part because the band-limitedness assumption is no…
The branching problem in generalized power solutions to differential equations
Alejandro S. Jakubi
Generalized power asymptotic expansions of solutions to differential equations that depend on parameters are investigated. The changing nature of these expansions as the parameters…