The Dirichlet ring and unconditional bases in L
2[0, 2π] |
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| Authors: | Artur Sowa |
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| Institution: | 1. Department of Mathematics and Statistics, University of Saskatchewan, Saskatchewan, Canada
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| Abstract: | It is observed that the Dirichlet ring admits a representation in an infinite-dimensional matrix algebra. The resulting matrices are subsequently used in the construction of nonorthogonal Riesz bases in a separable Hilbert space. This framework enables custom design of a plethora of bases with interesting features. Remarkably, the representation of signals in any one of these bases is numerically implementable via fast algorithms. |
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