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MR2363015 47B35 (32A36 46J05 46L05 47L80)
Quiroga-Barranco, Raul; Vasilevski, Nikolai Commutative $C^*$-algebras of Toeplitz operators on the unit ball. I. Bargmann-type transforms and spectral representations of Toeplitz operators. Integral Equations Operator Theory 59 (2007), no. 3, 379–419.
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