Open Access
2016 A functional equation and degenerate principal series
Juhyung Lee
Rocky Mountain J. Math. 46(6): 1987-2016 (2016). DOI: 10.1216/RMJ-2016-46-6-1987


A functional equation between the $\zeta $ distributions can be obtained from the theory of prehomogeneous vector spaces. We show that the functional equation can be extended from the Schwartz space to certain degenerate principal series.


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Juhyung Lee. "A functional equation and degenerate principal series." Rocky Mountain J. Math. 46 (6) 1987 - 2016, 2016.


Published: 2016
First available in Project Euclid: 4 January 2017

zbMATH: 1373.22021
MathSciNet: MR3591269
Digital Object Identifier: 10.1216/RMJ-2016-46-6-1987

Primary: 22E45

Keywords: functional equation , prehomogeneous vector space , principal series representation

Rights: Copyright © 2016 Rocky Mountain Mathematics Consortium

Vol.46 • No. 6 • 2016
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