Abstract
In this chapter biorthogonal Wilson bases for L 2([0N]) are investigated. The approach uses the even, periodic extension of functions defined on the interval. Starting from Wilson bases for periodic functions, Wilson bases for even, periodic functions are constructed. The basis functions are finally restricted to a suitable interval. Dual bases and Riesz bounds are given explicitly. The construction is based on a Zak transform for periodic functions and an unfolding operator for periodic Wilson bases. Fast algorithms for analysis and synthesis are described.
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Bittner, K. (2003). Wilson Bases on the Interval. In: Feichtinger, H.G., Strohmer, T. (eds) Advances in Gabor Analysis. Applied and Numerical Harmonic Analysis. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0133-5_9
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DOI: https://doi.org/10.1007/978-1-4612-0133-5_9
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