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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Spherical functions on symmetric cones


Author: P. Sawyer
Journal: Trans. Amer. Math. Soc. 349 (1997), 3569-3584
MSC (1991): Primary 33C55; Secondary 53C35, 17C20, 17C27, 33C45
MathSciNet review: 1325919
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Abstract: In this note, we obtain a recursive formula for the spherical functions associated with the symmetric cone of a formally real Jordan algebra. We use this formula as an inspiration for a similar recursive formula involving the Jack polynomials.


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Additional Information

P. Sawyer
Affiliation: Department of Mathematics and Computer Science, Laurentian University, Sudbury (Ontario) Canada P3E 2C6
Email: sawyer@ramsey.cs.laurentian.ca

DOI: http://dx.doi.org/10.1090/S0002-9947-97-01505-5
PII: S 0002-9947(97)01505-5
Received by editor(s): March 15, 1994
Received by editor(s) in revised form: April 3, 1995
Additional Notes: Research supported by a grant from the National Sciences Research Council of Canada.
Article copyright: © Copyright 1997 American Mathematical Society