Problems in the Geometry of the Siegel-Jacobi Space

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참고문헌 (23)

1. A. Ash, "Smooth Compactifications of Locally Symmetric Varieties", pp.10~230 (2010), Cambridge Math. Lib., Cambridge University Press
2. E. Balslev, "Spectral theory of the Laplacian on the modular Jacobi group manifold", pp.2012
3. J. I. Burgos Gil, "The Singularities of the invariant metric on the Jacobi line bundle", pp.45~77 (2016), Cambridge University Press
4. M. Eichler, "The Theory of Jacobi Forms", pp.5~148 (1985), Birkhauser Boston, Inc.
5. Harish-Chandra, "Representations of a semisimple Lie group on a Banach space. I", Trans. Amer. Math. Soc., 75, pp.185~243 (1953)
6. Harish-Chandra, "The characters of semisimple Lie groups", Trans. Amer. Math. Soc., 83, pp.98~163 (1956)
7. S. Helgason, "Groups and geometric analysis", pp.673~ (1984), Academic Press, Inc.
8. G. Khan, "A hall of statistical mirrors", Asian J. Math., 26(6), pp.809~846 (2022)
9. J. Kramer, "A geometrical approach to the theory of Jacobi forms", Compositio Math., 79(1), pp.1~19 (1991)
10. A geometrical approach to Jacobi forms, "J. Kramer", 4171~, pp.Report No. 22 (2014), 2014
11. J. Kramer, "Snapshots of modern mathematics from Oberwolfach: Special Values of Zeta Functions and Areas of Triangles", Notices Amer. Math. Soc., 63(8), pp.917~922 (2016)
12. H. Maass, "Die Differentialgleichungen in der Theorie der Siegelschen Modulfunktionen", Math. Ann., 126, pp.44~68 (1953)
13. H. Maass, "Siegel’s modular forms and Dirichlet series", pp.333~ (1971), Springer-Verlag
14. D. B. Mumford, "Hirzebruch’s Proportionality Theorem in the Non-Compact Case", Invent. Math., 42, pp.239~272 (1977)
15. R. Pink, "Arithmetical compactification of mixed Shimura varieties", pp.358~ (1990), Universitat Bonn, Mathematisches Institut
16. C. L. Siegel, "Gesammelte Abhandlungen, no. 41, vol. II", pp.274~359 (1943), Springer-Verlag
17. C. L. Siegel, "Topics in complex function theory. Vol. III: Abelian Functions and Modular Functions of Several Variables", pp.254~ (1989), Wiley Classics Lib. Wiley-Intersci. Publ., John Wiley & Sons, Inc.
18. J. -H. Yang, "Invariant metrics and Laplacians on Siegel-Jacobi space", J. Number Theory, 127(1), pp.83~102 (2007)
19. J.-H. Yang, "Proceedings of the International Conference (October 10–12, 2012) on Geometry, number theory and representation theory", pp.37~63 (2013), KM Kyung Moon Sa
20. J.-H. Yang, "Memory of Professor Shoshichi Kobayashi", pp.275~325 (2015), Birkhauser, Springer International Publishing
21. J. -H. Yang, "Sectional Curvatures of the Siegel-Jacobi Space", Bull. Korean Math. Soc., 50(3), pp.787~799 (2013)
22. J. Yang, "Differential Operators for Siegel-Jacobi forms", Sci. China Math., 59(6), pp.1029~1050 (2016)
23. C. Ziegler, "Jacobi Forms of Higher Degree", Abh. Math. Sem. Univ. Hamburg, 59, pp.191~224 (1989)

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