l Some Results on Harmonic Analysis on Siegel-Jacobi Space
Speaker
l Jae-Hyun Yang
Date
l 2013-02-21
Link
l
DownLoad
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Etc
l The Arithmetic of Function Fields and Related Topics (2. 18~21)
The Jacobi group, the semi-direct product of the symplectic group and the Heisenberg group is one of the simplest and most important examples of a non-reductive Lie group. Its associated non-reductive homogeneous space is the so-called
Siegel-Jacobi space that is very important arithmetically and geometrically. In this lecture, I develop the theory of harmonic
analysis on the Siegel-Jacobi space. I plan to introduce some results about harmonic analysis on the Siegel-Jacobi space
obtained by J.-H. Yang, E. Balslev, F. Gay-Balmaz, C. Tronci, S. Berceanu, A. Gheorge, H. Ochiai and M. Itoh.