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Bibliographic Details
Main Authors: Arakelian, Norair U., Matevosyan, Norayr
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2604.03442
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Table of 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.