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math.FA2022
Representation theory and multilevel filters
Daniel Alpay, Palle Jorgensen, Izchak Lewkowicz
We present a general setting where wavelet filters and multiresolution decompositions can be defined, beyond the classical setting. This is done in a fr…
math.CV2022
Discrete Wiener Algebra in the Bicomplex Setting, Spectral Factorization with Symmetry, and Superoscillations
Daniel Alpay, Izchak Lewkowicz, Mihaela Vajiac
In this paper we present parallel theories on constructing Wiener algebras in the bicomplex setting. With the appropriate symmetry condition, the bicomplex matrix valued case can b…