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On Monogenic Reproducing Kernel Hilbert Spaces of the Paley-Wiener Type (2009.11078v3)
Published 23 Sep 2020 in math.CV
Abstract: In the Clifford algebra setting the present study develops three reproducing kernel Hilbert spaces of the Paley-Wiener type, namely the Paley-Wiener spaces, the Hardy spaces on strips, and the Bergman spaces on strips. In particular, we give spectrum characterizations and representation formulas of the functions in those spaces and estimation of their respective reproducing kernels.