On a harmonic measure (Q1109912)
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scientific article; zbMATH DE number 4071265
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a harmonic measure |
scientific article; zbMATH DE number 4071265 |
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On a harmonic measure (English)
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1987
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The author constructs a nonzero \(\sigma\)-finite measure on a separable Hilbert space that is a solution of an infinite-dimensional analogue of Laplace equation [differentiability of measures is understood in the sense of \textit{V. I. Averbukh, O. G. Smolyanov} and \textit{S. V. Fomin}, Tr. Mosk. Mat. 0-va 24, 133-174 (1971; Zbl 0234.28005)].
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\(\sigma\)-additive measure of unbounded variation on a Hilbert space
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self-adjoint Hilbert-Schmidt operator
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harmonic measure
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Gaussian measure
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infinite-dimensional analogue of Laplace equation
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differentiability of measures
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