Double polar cap with FJS
"Double polar cap with FJS" is a collection of both handwritten notes from Dahlen as well as back and forth emails between him and Frederik J. Simons, hereafter FJS. The collection began in March of 2005. The documents are contained within a red loose leaf binder. FJS was at the time a Lecturer of Geophysics at University College London before he became an Assistant Professor of Geosciences at Princeton University in 2006, joining Dahlen. The two worked together until Dahlen's death in 2007. Frederik's home page can be found at the bottom of this page, or here. The contents of this collection follow the process that both FJS and Dahlen took to ultimately publish their joint paper Spherical Slepian functions and the polar gap in geodesy in 2006. Most of the emails contained show the discussions that polished the paper as the two tried to figure out how to represent error in their polar cap analysis, especially when dealing with more than one. This collection can be found at: Guyot Hall, Princeton, NJ, 08544. Back to Main Page
	Pages	Sheet Numbers
[Fax and email from FJS about antipodal polar caps]	1–7	N/A
[Notes on subject of email and fax]	8–13	1–6
Even versus odd eigenfunctions	10–43	1–4, 1–8, 1–4, 1–18
[FJS emails - Grünbaum and two polar caps]	44–45	N/A
m even	46–50	1–5
[FJS emails - repeated eigenvalues II]	51	N/A
Double polar cap problem – notes for FJS	52–75	1–24
[FJS emails - discussion of progress on double cap]	90–101	N/A
[Notes on cases of m and L being odd/even]	102–106	1–5
[FJS emails - even/odd + A set notation]	107–121	N/A
The all–kay notation	122–130	1–5, 1–4
[FJS emails - spectral and spatial errors]	131–133	N/A
Now expand in Slepian-Grünbaum basis	134–148	1–2, 1–5, 1–7
[FJS emails - error analysis]	149–159	N/A
SHIT [Realization of error in previous notes]	160–167	1–8
[FJS emails - correction of spectral errors]	168–177	N/A
Imperfect coverage error	178–182	1–5
[FJS emails - discussion of typos in draft]	183–191	N/A