Whittaker functions for generalized principal series representations of SL(3, R)

被引:0
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作者
Tadashi Miyazaki
机构
[1] University of Tokyo,Graduate School of Mathematical Sciences
来源
manuscripta mathematica | 2009年 / 128卷
关键词
22E46; 11F70;
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摘要
We study Whittaker functions for generalized principal series representations of the real special linear group SL(3, R) of degree 3. From the Capelli elements and Dirac-Schmid operators, we give the system of partial differential equations which is satisfied by Whittaker functions. We give six formal power series solutions of this system, which are called secondary Whittaker functions. We also give the Mellin-Barnes type integral expressions of primary Whittaker functions, i.e. the solutions having the moderate growth property.
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页码:107 / 135
页数:28
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