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Cauchy-riemann operator and decomposition ofL 2 space on ? + n+1
Authors:Zhijian Wu
Institution:(1) Department of Mathematics, University of Alabama, 35487 Tuscaloosa, AL, U.S.A.
Abstract:We decompose Lα2(ℝ+ n+1) into direct sum of closed subspaces which are isomorphic to the monogenic Bergman space. Application on commutators is also discussed. Research supported in part by the NSF Grant DMS-9622890
Keywords:Cauchy-Riemann operator  Bergman space  Clifford analysis
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