A probabilistic construction of the heat kernel for the \(\bar {\partial{}}\)-Neumann problem on a strongly pseudoconvex Siegel domain (Q1197478)
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scientific article; zbMATH DE number 91629
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A probabilistic construction of the heat kernel for the \(\bar {\partial{}}\)-Neumann problem on a strongly pseudoconvex Siegel domain |
scientific article; zbMATH DE number 91629 |
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A probabilistic construction of the heat kernel for the \(\bar {\partial{}}\)-Neumann problem on a strongly pseudoconvex Siegel domain (English)
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16 January 1993
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The author considers the heat equation for the initial boundary value problem whose boundary condition includes an imaginary directional differentiation. The heat kernel for such \(\overline{\partial}\)-Neumann problem on the strongly pseudoconvex Siegel domain explicitly in terms of the theory of generalized Wiener functionals is constructed. The properties and the short time asymptotic behavior of the heat kernels are studied.
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initial boundary value problem
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imaginary directional differentiation
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generalized Wiener functionals
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short time asymptotic behavior
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0.8844702
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0.8800167
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0.8770174
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0.8763649
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0.86622584
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