Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

New identities of differential operators from orbital integrals on $\mathrm{GL}(r,\mathbf{C})$


Author: Paul Mezo
Journal: Proc. Amer. Math. Soc. 130 (2002), 3101-3110
MSC (2000): Primary 22E30
Published electronically: March 14, 2002
MathSciNet review: 1908936
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Abstract: We derive identities of differential operators on complex general linear groups which appear in the differential equations satisfied by weighted orbital integrals. These identities stem from and have applications to comparisons of metaplectic coverings.


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Additional Information

Paul Mezo
Affiliation: Department of Mathematics, University of Toronto, Toronto, Ontario, Canada M5S 3G3
Email: pmezo@math.toronto.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-02-06549-8
Received by editor(s): May 9, 2001
Published electronically: March 14, 2002
Communicated by: Dennis A. Hejhal
Article copyright: © Copyright 2002 American Mathematical Society