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Title: Pairs of oblique duals in spaces of periodic functions
Authors: Christensen, O.
Goh, S.S. 
Keywords: Mixed Gramians
Oblique dual generators
Periodic frames
Polyphase splines
Issue Date: Apr-2010
Citation: Christensen, O., Goh, S.S. (2010-04). Pairs of oblique duals in spaces of periodic functions. Advances in Computational Mathematics 32 (3) : 353-379. ScholarBank@NUS Repository.
Abstract: We construct non-tight frames in finite-dimensional spaces consisting of periodic functions. In order for these frames to be useful in practice one needs to calculate a dual frame; while the canonical dual frame might be cumbersome to work with, the setup presented here enables us to obtain explicit constructions of some particularly convenient oblique duals. We also provide explicit oblique duals belonging to prescribed spaces different from the space where we obtain the expansion. In particular this leads to oblique duals that are trigonometric polynomials. © 2009 Springer Science+Business Media, LLC.
Source Title: Advances in Computational Mathematics
ISSN: 10197168
DOI: 10.1007/s10444-009-9115-x
Appears in Collections:Staff Publications

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