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· 2025 · arXiv 2510.12027

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math.NA 1

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2026 1

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UNVERDICTED 1

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Vector field multiplier operators and matrix-valued kernel quasi-interpolation

math.NA · 2026-05-07 · unverdicted · novelty 6.0

Develops matrix-valued spherical convolution kernels from zonal functions for quasi-interpolation of divergence- and curl-free vector fields on the sphere, delivering optimal Sobolev estimates and noise robustness without convolution evaluation or linear solves.

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  • Vector field multiplier operators and matrix-valued kernel quasi-interpolation math.NA · 2026-05-07 · unverdicted · none · ref 32

    Develops matrix-valued spherical convolution kernels from zonal functions for quasi-interpolation of divergence- and curl-free vector fields on the sphere, delivering optimal Sobolev estimates and noise robustness without convolution evaluation or linear solves.