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Orthonormal Spectral Cluster Bounds on Manifolds with Nonpositive Curvature

math.AP · 2026-06-11 · unverdicted · novelty 6.0

Proves the orthonormal analogue of Hassell-Tacy log-improved L^q spectral cluster bounds for windows of width (log λ)^{-1} on closed n-manifolds with nonpositive sectional curvature by combining Frank-Sabin orthonormal bounds, Bérard kernel estimates, and a generalized Bourgain-Shao-Sogge-Yao multip

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  • Orthonormal Spectral Cluster Bounds on Manifolds with Nonpositive Curvature math.AP · 2026-06-11 · unverdicted · none · ref 13

    Proves the orthonormal analogue of Hassell-Tacy log-improved L^q spectral cluster bounds for windows of width (log λ)^{-1} on closed n-manifolds with nonpositive sectional curvature by combining Frank-Sabin orthonormal bounds, Bérard kernel estimates, and a generalized Bourgain-Shao-Sogge-Yao multip