A note on analytic measures
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- by Paul S. Muhly PDF
- Proc. Amer. Math. Soc. 42 (1974), 330-331 Request permission
Abstract:
A corollary to Forelli’s generalization of the F. and M. Riesz theorem is proved. It extends Bochner’s result concerning the absolute continuity of measures on the torus whose Fourier-Stieltjes coefficients vanish outside a sector of opening less than $\pi$.References
- S. Bochner, Boundary values of analytic functions in several variables and of almost periodic functions, Ann. of Math. (2) 45 (1944), 708–722. MR 11132, DOI 10.2307/1969298
- K. de Leeuw and I. Glicksberg, Quasi-invariance and analyticity of measures on compact groups, Acta Math. 109 (1963), 179–205. MR 144152, DOI 10.1007/BF02391812
- Frank Forelli, Analytic and quasi-invariant measures, Acta Math. 118 (1967), 33–59. MR 209771, DOI 10.1007/BF02392475
- George W. Mackey, Induced representations of locally compact groups. I, Ann. of Math. (2) 55 (1952), 101–139. MR 44536, DOI 10.2307/1969423
Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 42 (1974), 330-331
- MSC: Primary 22D12; Secondary 30A98, 46J15
- DOI: https://doi.org/10.1090/S0002-9939-1974-0374331-2
- MathSciNet review: 0374331