Limit spectral measures of matrix distributions of metric triples
| Autor: | Vershik, A., Petrov, F. |
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| Rok vydání: | 2023 |
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| Zdroj: | Functional Analysis and its Applications, v 57,#1,2023 |
| Druh dokumentu: | Working Paper |
| Popis: | A notion of the limit spectral measure of a metric triple (i.e., a metric measure space) is defined. If the metric is square integrable, then the limit spectral measure is deterministic and coinsides with the spectrum of the integral operator in $L^2(\mu)$ with kernel $\rho$. We construct an example in which there is no deterministic spectral measure. Comment: 5 pp, Ref.12 |
| Databáze: | arXiv |
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