Abstract
We provide an explicit formula for a large class of exponential B-splines. Also, we characterize the cases where the integer-translates of an exponential B-spline form a partition of unity up to a multiplicative constant. As an application of this result we construct explicitly given pairs of dual Gabor frames.
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Communicated by Rongqing Jia.
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Christensen, O., Massopust, P. Exponential B-splines and the partition of unity property. Adv Comput Math 37, 301–318 (2012). https://doi.org/10.1007/s10444-011-9208-1
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DOI: https://doi.org/10.1007/s10444-011-9208-1