On the Domain of Convergence of Spherical Harmonic Expansions

Spherical harmonic expansions (SHEs) play an important role in most of the physical sciences, especially in physical geodesy. Despite many decades of investigation, the large order behavior of the SHE coefficients, and the precise domain of convergence for these expansions, have remained open questi...

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Veröffentlicht in:	Communications in mathematical physics 2022, Vol.389 (2), p.875-897
Hauptverfasser:	Costin, O., Costin, R. D., Ogle, C., Bevis, M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Asymptotic properties Banach spaces Classical and Quantum Gravitation Complex Systems Convergence Domains Geodesy Mathematical analysis Mathematical and Computational Physics Mathematical Physics Physical sciences Physics Physics and Astronomy Quantum Physics Questions Relativity Theory Smoothness Spherical harmonics Theoretical Topography
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