| [P] |
T. Kobayashi, Harish-Chandra's admissibility theorem and beyond,
preprint. 32 pages. [ full info ] |
| [354] |
F. Kassel and T. Kobayashi, Spectral analysis on standard locally
homogeneous spaces, Lecture Notes in Mathematics, vol. 2367, 2025, (FJ-LMI
subseries 1). xi+116 pages.
doi:
10.1007/978-981-96-1957-3 arXiv:
1912.12601. Softcover: ISBN 978-981-96-1959-7 (01 May 2025); eBook: ISBN
978-981-96-1957-3 (Published: 30 March 2025). [ full info ] |
| [342] |
T. Kobayashi, Recent advances in branching problems of representations,
Sugaku Expositions 37 (2024), 129-177,
DOI: 10.1090/suga/485. Published
electronically: October 23, 2024. Amer. Math. Soc.; a translation by
Toshihisa Kubo of the Japanese original article.
arXiv: 2112.00642. [ full info ] |
| [332] |
T. Kobayashi, Conjectures on reductive homogeneous spaces, Lecture Notes
in Mathematics, Mathematics Going Forward: Collected Mathematical Brushstrokes, J.-M. Morel and B. Teissier (eds.), vol. 2313, pp. 217-231, Springer, 2023,
DOI:
10.1007/978-3-031-12244-6_17. Available also at
arXiv: 2204.08854.
[ full info ] |
| [315] |
F. Kassel and T. Kobayashi, Spectral analysis on pseudo-Riemannian
locally symmetric spaces, Proc. Japan Acad. Ser. A Math. Sci. 96
(2020), no. 8, 69-74, doi:
10.3792/pjaa.96.013. arXiv:
2001.03292. [ full info ] |
| [279] |
T. Kobayashi, Recent advances in branching laws of representations
[hyogen no bunki-soku no saikin no shinten], Sugaku 71 (2019),
no. 4, 388-416 (Japanese). [ full info ] |
| [278] |
F. Kassel and T. Kobayashi, Invariant differential operators on spherical
homogeneous spaces with overgroups, Journal of Lie Theory 29
(2019), 663-754, arXiv: 1810.02803. [ full info ] |
| [258] |
T. Kobayashi, Global analysis by hidden symmetry,
Progr. Math., 323 (2017), pp. 359-397,
a special issue in honour of Roger Howe for his 70th birthday.
DOI: 10.1007/978-3-319-59728-7_13.
arXiv: 160808356. [ full info ] |
| [251] |
T. Kobayashi, Intrinsic sound of anti-de Sitter manifolds, Lie Theory
and Its Applications in Physics, Springer Proceedings in Mathematics &
Statistics, vol. 191, Springer, 2016, pp. 83-99,
DOI:
10.1007/978-981-10-2636-2_6. arXiv:
1609.05986. [ full info ] |
| [223] |
F. Kassel and T. Kobayashi, Poincaré series for non-Riemannian
locally symmetric spaces, Advances in Mathematics 287, 123-236,
DOI:
10.1016/j.aim.2015.08.029. arXiv:
1209.4075. [ full info ] |
| [198] |
T. Kobayashi, From ''local・ｽh to ''global・ｽh: Beyond the
Riemannian geometry, Kavli IPMU News (2014), no. 25 (March 2014), 4-11. [ full info ] |
| [153] |
F. Kassel and T. Kobayashi, Stable spectrum for pseudo-Riemannian
locally symmetric spaces, C. R. Math. Acad. Sci. Paris 349 (2011),
no. 1-2, 29-33, DOI:
10.1016/j.crma.2010.11.023. [ full info ] |
| [135] |
T. Kobayashi, Discontinuous groups on pseudo-Riemannian spaces,
Mathematische Arbeitstagung 2009, 2009, MPIM2009-40n, 15 pp. [ full info ] |
| [126] |
T. Kobayashi, Hidden symmetries and spectrum of the Laplacian on an
indefinite Riemannian manifold, Spectral Analysis in Geometry and Number
Theory (in honor of Professor Sunada) (M. Kotani, H. Naito, and T. Tate,
eds.), Contemp. Math., vol. 484, Amer. Math. Soc., Providence, RI, 2009,
pp. 73-87. [ full info ] |
| [124] |
T. Kobayashi, On discontinuous group actions on non-Riemannian homogeneous
spaces, Sugaku Expositions 22 (2009), Amer. Math. Soc., 1-19; a translation by Miles Reid of
the original article in Japanese. math.DG/0603319. [ full info ] |
| [117] |
T. Kobayashi, Rigidity and deformation of discontinuous groups for
non-Riemannian symmetric spaces (in Japanese), RIMS Kôkyûroku
Bessatsu B7 (2008), Representation Theory and Analysis on Homogeneous Spaces (H.
Sekiguchi, ed.), pp.1-12. [ full info ] |
| [96] |
T. Kobayashi and S. Nasrin, Deformation of properly discontinuous actions of Zk on
Rk+1, Internat. J. Math. 17 (2006), no. 10, 1175-1193,
math.DG/0603318. [ full info ] |
| [95] |
T. Kobayashi and S. Nasrin, Deformation space of discontinuous groups
Zk for a nilmanifold Rk+1, Surikaiseki Kokyuroku, RIMS
1467 (2006), 101-111, Representation Theory of Groups and Extension of
Harmonic Analysis (edited by T. Kawazoe). [ full info ] |
| [89] |
T. Kobayashi and T. Yoshino, Compact Clifford-Klein forms of
symmetric spaces - revisited, Pure
and Appl. Math. Quarterly 1 (2005), 603-684, Special Issue: In
Memory of Armand Borel. [ full info ] |
| [88] |
T. Kobayashi, On discontinuous group actions on non-riemannian homogeneous
spaces, Sugaku 57 (2005), 267-281 (in Japanese), An
English translation is to appear from Amer. Math. Soc. [ full info ] |
| [67] |
T. Kobayashi, Introduction to actions of discrete groups on
pseudo-Riemannian homogeneous manifolds, Acta Appl. Math. 73
(2002), 115-131. [ full info ] |
| [66] |
T. Kobayashi, Discontinuous groups for non-Riemannian homogeneous spaces
(translation from English), Sugaku no Saisentan, challenge to the 21th
century, vol. 1, Springer-Verlag, Tokyo, 2002, pp. 18-73 (in Japanese). [ full info ] |
| [63] |
T. Kobayashi, Discontinuous groups for non-Riemannian homogeneous
spaces, Mathematics Unlimited - 2001 and Beyond (B. Engquist and
W. Schmid, eds.), Springer-Verlag, 2001, pp. 723-747. [ full info ] |
| [52] |
T. Kobayashi, Deformation of compact Clifford-Klein forms of
indefinite-Riemannian homogeneous manifolds, Math. Ann. 310
(1998), no. 3, 395-409. [ full info ] |
| [49] |
T. Kobayashi and T. Oda, A vanishing theorem for modular symbols on
locally symmetric spaces, Comment. Math. Helv. 73 (1998), 45-70. [ full info ] |
| [40] |
T. Kobayashi, Monastir Seminar on proper actions, discontinuous groups,
and uniform lattices for pseudo-Riemannian homogeneous manifolds,
Proceedings of the CIMPA School, held in Tunisia, July-August 1996
(P. Torasso in Poitiers, ed.), 1997. [ full info ] |
| [37] |
T. Kobayashi, A vanishing theorem of modular symbols on locally symmetric
varieties, (notes taken by S. Ishikawa), Proceedings of
Representation
Theory and Related Topics, Kurashiki 1996 (N. Shimeno, ed.), 1996, pp. 1-16
(in Japanese). [ full info ] |
| [36] |
T. Kobayashi, Discontinuous groups and Clifford-Klein forms of
pseudo-Riemannian homogeneous manifolds, Algebraic and Analytic Methods in
Representation Theory (H. Schlichtkrull and B. Ørsted, eds.), Perspectives
in Mathematics, vol. 17, Academic Press, 1996, pp. 99-165, ISBN
0-12-625440-0. [ full info ] |
| [35] |
T. Kobayashi, Criterion for proper actions on homogeneous spaces of reductive
groups, J. Lie
Theory 6 (1996),
no. 2, 147-163. [ full info ] |
| [31] |
T. Kobayashi, Discontinuous groups acting on homogeneous spaces -
Calabi-Markus phenomenon, compact Clifford-Klein forms, Lecture
notes of European School on Group Theory held at Sandbjerg Gods', August
15-26, 1994, 30 pp. [ full info ] |
| [26] |
T. Kobayashi, On discontinuous groups acting on homogeneous spaces with
noncompact isotropy subgroups, J. Geom. Physics 12 (1993),
133-144. [ full info ] |
| [23] |
T. Kobayashi, A necessary condition for the existence of compact
Clifford-Klein forms of homogeneous spaces of reductive type, Duke Math.
J. 67 (1992), 653-664. [ full info ] |
| [22] |
T. Kobayashi, Discontinuous groups acting on homogeneous spaces of reductive
type, Proceedings of Representation Theory of Lie Groups and Lie Algebras,
Fuji-Kawaguchiko, 1990 (T. Kawazoe, T. Oshima, and S. Sano, eds.), World
Scientific, 1992, pp. 59-75, ISBN 9810210906. [ full info ] |
| [17] |
T. Kobayashi, Discontinuous group in a homogeneous space of reductive
type, Seminar Reports of Unitary Representation 10 (1990), 41-45,
at the International Conference on Representation Theories of Lie
Groups and Lie Algebras at Lake-Kawaguchi. [ full info ] |
| [16] |
T. Kobayashi and K. Ono, Note on Hirzebruch's proportionality
principle, Jour. Fac. Sci. Univ. Tokyo 37 (1990), no. 1, 71-87. [ full info ] |
| [15] |
T. Kobayashi, Discontinuous groups acting on non-Riemannian homogeneous
spaces, Surikaiseki Kokyuroku, RIMS 737 (1990), 6-29, Workshop on
Algebraic Groups and Related Topics (organized by I. Satake). [ full info ] |
| [12] |
T. Kobayashi, Homogeneous spaces with indefinite-metric and discontinuous
groups, 36th Symposium on Differential Geometry, 1989, pp. 104-116 (in
Japanese). [ full info ] |
| [9] |
T. Kobayashi, Proper action on a homogeneous space of reductive type, Math.
Ann. 285 (1989), no. 2, 249-263. [ full info ] |
| [6] |
T. Kobayashi and K. Ono, Note on Hirzebruch's proportionality
principle, Surikaiseki Kokyuroku, RIMS 700 (1989), 103-126,
Representation Theory and its Applications to Physics (organized by Y.
Kanie). [ full info ] |
| [5] |
T. Kobayashi, Properly discontinuous actions on reductive homogeneous
spaces, Seminar Reports of Unitary Representation 8 (1988), 17-22
(in Japanese), at the annual conference on unitary representation theory at
Lake-Kawaguchi (organized by H. Yamada), December 1988. [ full info ] |
© Toshiyuki Kobayashi