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Spherical functions on symmetric cones
Author(s):
P.
Sawyer
Journal:
Trans. Amer. Math. Soc.
349
(1997),
3569-3584.
MSC (1991):
Primary 33C55;
Secondary 53C35, 17C20, 17C27, 33C45
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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:
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.
Copyright of article:
Copyright
1997,
American Mathematical Society
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