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Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 
 

 

Simultaneous invariance of generalized spherical harmonics under the operations of two rotation groups


Author: R. N. D’Heedene
Journal: Quart. Appl. Math. 16 (1958), 188-192
MSC: Primary 82.00
DOI: https://doi.org/10.1090/qam/101689
MathSciNet review: 101689
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Abstract: A method is found for evaluating the coefficients of a sum of generalized spherical harmonics so that the sum will be simultaneously invariant under two rotation groups. The coefficients for a sum of ordinary spherical harmonics invariant under each individual group must first be known.


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Article copyright: © Copyright 1958 American Mathematical Society