논문KCI 등재
A FORMULA FOR THE INVARIANT MEAN ON THE WEAK ALMOST PERIODIC FUNCTIONS ON MOORE GROUPS
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참고문헌
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초록
It is proved that the invariant mean on the weakly almost periodic functions on an [FIR] locally compact group (i.e., a Moore group, which means that all continuous irreducible unitary representations of the group are finite-dimensional) admits a simple formula in terms of functions on the dual space of the group.
Abstract
It is proved that the invariant mean on the weakly almost periodic functions on an [FIR] locally compact group (i.e., a Moore group, which means that all continuous irreducible unitary representations of the group are finite-dimensional) admits a simple formula in terms of functions on the dual space of the group.
참고문헌 (11)
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- A. I. Shtern, "A spectral characterization of almost periodic functions on Moore groups", Advanced Studies in Contemporary Mathematics, 25(1), pp.147~150 (2015), 장전수학회
- A. G. Baskakov, "Spectral tests for the almost periodicity of the solutions of functional equations", Mat. Zametki, 24(2), pp.195~206 (1978)
- W. Arendt, "Discrete spectrum and almost periodicity", Taiwanese J. Math, 3(4), pp.475~490 (1999)
- C. C. Moore, "Groups with finite dimensional irreducible representations", Trans. Amer. Math. Soc, 166, pp.401~410 (1972)
- L. C. Robertson, "A note on the structure of Moore groups", Bull. Amer. Math. Soc, 75(3), pp.594~599 (1969)
- A. I. ˇStern, "Locally bicompact groups with finite-dimensional irreducible representations", Mat. Sb, 90(132), pp.86~95 (1973)
- L. N. Argabright, "On the mean value of a weakly almost periodic function", Proc. Amer. Math. Soc, 36(1), pp.315~316 (1972)
- E. Hewitt, "Structure of topological groups, integration theory, group representations" (1979), Springer-Verlag
- J. Dixmier, "Les C¤-algebres et leurs representations" (1969), Gauthier-Villars Editeur
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