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- W2088228486 abstract "This paper analyzes the convolution algebra M(K G K ) of zonal measures on a Lie group G , with compact subgroup K , primarily for the case when M(K G K ) is commutative and G K is isotropy irreducible. A basic result for such ( G , K ) is that the convolution of dim G K continuous (on G K ) zonal measures is absolutely continuous. Using this, the spectrum (maximal ideal space) of M(K G K ) is determined and shown to be in 1-1 correspondence with the bounded Borel spherical functions. Also, certain asymptotic results for the continuous spherical functions are derived. For the special case when G is compact, all the idempotents in M(K G K ) are determined." @default.
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- W2088228486 date "1974-12-01" @default.
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- W2088228486 title "Zonal measure algebras on isotropy irreducible homogeneous spaces" @default.
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- W2088228486 doi "https://doi.org/10.1016/0022-1236(74)90046-9" @default.
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