Weakly almost periodic functionals carried by hypercosets

Dunkl, Charles F.; Ramirez, Donald E.

doi:10.1090/S0002-9947-1972-0291370-3

Weakly almost periodic functionals carried by hypercosets
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Trans. Amer. Math. Soc. 164 (1972), 427-434 Request permission

Abstract:

For G a compact group and H a closed normal subgroup, we show that a weakly almost periodic (w.a.p.) linear functional on the Fourier algebra of G/H lifts to a w.a.p. linear functional on the Fourier algebra of G.

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