Absolute and Unconditional Convergence of Series of Ergodic Averages and Lebesgue Derivatives
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917893685379072 |
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| author | Johnson, Bryan Rosenblatt, Joseph |
| author_facet | Johnson, Bryan Rosenblatt, Joseph |
| contents | We consider when there is absolute or unconditional convergence of series of various types of stochastic processes. These processes include differences of averages in ergodic theory and harmonic analysis, like the classical Cesaro average in ergodic theory and Lebesgue derivatives in harmonic analysis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_09202 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Absolute and Unconditional Convergence of Series of Ergodic Averages and Lebesgue Derivatives Johnson, Bryan Rosenblatt, Joseph Dynamical Systems Primary: 28D05, 42A61, Secondary: 37A46 We consider when there is absolute or unconditional convergence of series of various types of stochastic processes. These processes include differences of averages in ergodic theory and harmonic analysis, like the classical Cesaro average in ergodic theory and Lebesgue derivatives in harmonic analysis. |
| title | Absolute and Unconditional Convergence of Series of Ergodic Averages and Lebesgue Derivatives |
| topic | Dynamical Systems Primary: 28D05, 42A61, Secondary: 37A46 |
| url | https://arxiv.org/abs/2501.09202 |