Noncommutative complex analysis and Bargmann-Segal multipliers (Q2716112)

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scientific article; zbMATH DE number 1602169
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Noncommutative complex analysis and Bargmann-Segal multipliers
scientific article; zbMATH DE number 1602169

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    Noncommutative complex analysis and Bargmann-Segal multipliers (English)
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    6 June 2001
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    noncommutative geometry
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    Cauchy-Riemann equations
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    Bargmann-Segal multipliers
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    creation operators
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    Bargmann-Segal space
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    The authors introduce noncommutative versions of Cauchy-Riemann equations based on the use of creation operators represented on the Bargmann-Segal space. Unbounded operators on \(L^{2}({\mathbb R})\) satisfying these equations are characterized.
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