References

Spherical Harmonics

• M. Abramowitz and I. A. Stegun, eds. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. Applied Mathematics Series 55. Washington, D.C.: U.S. Government Printing Office, June 1964. 10th printing, Dec 1972, with corrections.

• M. Gräf, S. Kunis, D. Potts. “On the computation of nonnegative quadrature weights on the sphere” In: Applied and Computational Harmonic Analysis, 27. (Jul 2009) DOI: 10.1016/j.acha.2008.12.003

• J. D. Jackson. Classical Electrodynamics. 3rd ed. John Wiley & Sons, Inc., 1999. ISBN: 978-0-471-30932-1

• M. Reinecke and D.S. Seljebotn. “Libsharp - spherical harmonic transforms revisited”. In: Astron. & Astrophy. 554, (Jun 2013) ADS: 2013A&A…554A.112R

• R. Stompor. “S2HAT: Scalable Spherical Harmonic Transform Library”. (Oct 2011) ADS: 2011ascl.soft10013S

Blog series

• Notes on Calculating the Spherical Harmonics (Spherical Harmonics Series, Part I)
• More Notes on Calculating the Spherical Harmonics: Analysis of maps to harmonic coefficients (Spherical Harmonics Series, Part II)
• Spherical Harmonic Transforms on Ring-based Pixelizations (Spherical Harmonics Series, Part III)
• Solving for Spherical Harmonic Analysis Quadrature Weights (Spherical Harmonics Series, Part IV)

Other

• R. Shewchuk “An Introduction to the Conjugate Gradient Method Without the Agonizing Pain” (1994) URL: https://www.cs.cmu.edu/~jrs/jrspapers.html