| Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2020: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2019: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2018: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2017: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Outline of Final Research Achievements |
Although there are many known methods of constructing concrete examples of real analytic automorphic forms, few of them stand up to precise study compared to holomorphic automorphic forms. The purpose of this project was to remedy this situation by using the branching rules of representations of reductive Lie groups. As a first and important step, we succeeded in constructing an integral expression for generalized Whittaker functions on real symplectic group of rank two, which generate certain generalized principal series representations. This integral expression is given by a double inverse Mellin transform.
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