Generalizations of P. Lévy's inversion theorem

P. Masani

Journal of Multivariate Analysis, 1977, vol. 7, issue 2, 292-335

Abstract: 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 .

Keywords: Locally; compact; Abelian; groups; Fourier-Stieltjes; transforms; orthogonally; scattered; Hilbert; space-valued; measures; spectral; projection-valued; measures; characteristic; functions; stationary; curves; unitary; group; representations (search for similar items in EconPapers)
Date: 1977
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