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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.03442 |
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| _version_ | 1866913004430295040 |
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| author | Arakelian, Norair U. Matevosyan, Norayr |
| author_facet | Arakelian, Norair U. Matevosyan, Norayr |
| contents | A direct analog of Hadamard's three-circle theorem is obtained for harmonic functions (in weighted L^2-norm) in case of (n-1)-dimensional non-concentric spheres in R^n. The result extends the concentric case to correlated non-concentric, non-touching spheres via an inversion technique. Applications to propagation of smallness and uniqueness for harmonic functions are given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_03442 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Three-spheres theorem for harmonic functions (non-concentric case) Arakelian, Norair U. Matevosyan, Norayr Analysis of PDEs Complex Variables 31B05 (Primary), 31B25, 35B60 (Secondary) A direct analog of Hadamard's three-circle theorem is obtained for harmonic functions (in weighted L^2-norm) in case of (n-1)-dimensional non-concentric spheres in R^n. The result extends the concentric case to correlated non-concentric, non-touching spheres via an inversion technique. Applications to propagation of smallness and uniqueness for harmonic functions are given. |
| title | Three-spheres theorem for harmonic functions (non-concentric case) |
| topic | Analysis of PDEs Complex Variables 31B05 (Primary), 31B25, 35B60 (Secondary) |
| url | https://arxiv.org/abs/2604.03442 |