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
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.