Generalizations of P. Lévy's inversion theorem
We extend the Lévy inversion formula for the recovery of a bounded measure over from its Fourier-Stieltjes transform to bounded complex-valued, orthogonally scattered Hilbert space-valued, and spectral projection operator-valued measures over any first countable locally compact Abelian group. All our results are direct generalizations of known inversions for .
Volume (Year): 7 (1977)
Issue (Month): 2 (June)
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