Unitary measures on LCA groups
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- by Lawrence Corwin PDF
- Trans. Amer. Math. Soc. 196 (1974), 425-430 Request permission
Abstract:
A unitary measure on a locally compact Abelian (LCA) group G is a complex measure whose Fourier transform is of absolute value 1 everywhere. The problem of finding all such measures is known to be closely related to that of finding all invertible measures on G. In this paper, we find all unitary measures when G is the circle or a discrete group. If G is a torsion-free discrete group, the characterization generalizes a theorem of Bohr.References
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Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 196 (1974), 425-430
- MSC: Primary 43A10
- DOI: https://doi.org/10.1090/S0002-9947-1974-0358219-3
- MathSciNet review: 0358219