Noncommutative complex analysis and Bargmann-Segal multipliers |
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Authors: | Richard Rochberg Nik Weaver |
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Institution: | Department of Mathematics, Washington University, St. Louis, Missouri 63130 ; Department of Mathematics, Washington University, St. Louis, Missouri 63130 |
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Abstract: | We state several equivalent noncommutative versions of the Cauchy-Riemann equations and characterize the unbounded operators on which satisfy them. These operators arise from the creation operator via a functional calculus involving a class of entire functions, identified by Newman and Shapiro, which act as unbounded multiplication operators on Bargmann-Segal space. |
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