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- W2188431347 abstract "In this paper we show that all algebra homomorphisms h : A → C may be expressed in terms of the Macdonald spherical functions. We also provide a second formula for these homomorphisms in terms of an integral over the boundary ofX . We may regard A as a subalgebra of the C ∗ -algebra of bounded linear operators on � 2 (VP ), and we write A2 for the closure of A in this algebra. We study the Gelfand map A2 → C (M2) ,w hereM2 = Hom(A2, C), and we compute M2 and the Plancherel measure of A2. We also compute the � 2 -operator norms of the operators Aλ, λ ∈ P + , in terms of the Macdonald spherical functions." @default.
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- W2188431347 date "2006-01-01" @default.
- W2188431347 modified "2023-09-27" @default.
- W2188431347 title "Spherical harmonic analysis on affine" @default.
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