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Record Details

Record 14 of 1141
Orthogonality of spherical harmonic coefficients
External Online Source: doi:10.1016/0031-9201(80)90001-1
Author and Affiliation:
Mcleod, M. G.(California, University, Los Angeles, Calif., United States)
Abstract: Orthogonality relations are obtained for the spherical harmonic coefficients of functions defined on the surface of a sphere. Following a brief discussion of the orthogonality of Fourier series coefficients, consideration is given to the values averaged over all orientations of the coordinate system of the spherical harmonic coefficients of a function defined on the surface of a sphere that can be expressed in terms of Legendre polynomials for the special case where the function is the sum of two delta functions located at two different points on the sphere, and for the case of an essentially arbitrary function. It is noted that the orthogonality relations derived have found applications in statistical studies of the geomagnetic field.
Publication Date: Aug 01, 1980
Document ID:
19800065378
(Acquired Nov 30, 1995)
Accession Number: 80A49548
Subject Category: GEOPHYSICS
Document Type: Journal Article
Publication Information: Physics of the Earth and Planetary Interiors; 23; Aug. 198
Publisher Information: Netherlands
Contract/Grant/Task Num: NAS8-32571; NGR-05-007-351; NGL-05-007-004
Financial Sponsor: NASA; United States
Organization Source: California Univ.; Los Angeles, CA, United States
Description: 4p; In English
Distribution Limits: Unclassified; Publicly available; Unlimited
Rights: Copyright
NASA Terms: GEOMAGNETISM; ORTHOGONALITY; SPHERICAL HARMONICS; STATISTICAL ANALYSIS; FOURIER SERIES; GRAVITATIONAL FIELDS; POLYNOMIALS; SPHERES
Imprint And Other Notes: Physics of the Earth and Planetary Interiors, vol. 23, Aug. 1980, p. P1-P4.
Miscellaneous Notes: p. P1-P4
Availability Source: Other Sources
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