On the domain of convergence of spherical harmonic expansions

DOI10.1007/s00220-021-04262-0zbMath1503.86002arXiv2011.05709OpenAlexW3100068714MaRDI QIDQ2071784

Yanyan Li

Publication date: 31 January 2022

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.05709

Mathematics Subject Classification ID

Geodesy, mapping problems (86A30) Spherical harmonics (33C55) Harmonic analysis and spherical functions (43A90)

Uses Software

• DLMF

Cites Work

• On the error of analytical downward continuation of the Earth's external gravitational potential on and inside the Earth's surface
• NIST digital library of mathematical functions
• Non-convergence of the spherical harmonic expansion of gravitational potential below the Brillouin sphere: The continuous case
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