Publications: Branching laws:

Restriction of unitary representations, discretely decomposable restrictions, estimates of multiplicities

[17] T. Kobayashi, Some examples of the branching rule of unitary representations associated to isomorphisms of homogeneous spaces, unpublished notes, 1990.
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[24] T. Kobayashi, The restriction of Aq(λ) to reductive subgroups, Proc. Japan Acad. Ser. A 69 (1993), 262-267.
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[28] T. Kobayashi, Discrete decomposability of the restriction of Aq(λ) with respect to reductive subgroups and its applications, Invent. Math. 117 (1994), 181-205.
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[31] T. Kobayashi, The restriction of Aq(λ) to reductive subgroups II, Proc. Japan Acad. Ser. A 71 (1995), 24-26.
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[32] T. Kobayashi, Introduction to harmonic analysis on spherical homogeneous spaces, Proceedings of 3rd Summer School on Number Theory ''Homogeneous Spaces and Automorphic Forms'' held at Rikkyo University, January 1995 and at Yamagata-mura in Nagano August 1995 (F. Sato, ed.), 1995, pp. 22-41 (in Japanese).
[ full info | preprint version(dvi) ]
[35] 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).
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[36] T. Kobayashi and T. Oshima, Multiplicities of induced representations of semisimple Lie groups, unpublished notes, 1996.
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[37] T. Kobayashi, On the restriction of unitary representations and their applications, Proceedings of Symposium on Representation Theory, Mikawa, 1996, pp. 131-141 (in Japanese).
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[38] T. Kobayashi, Monastir Seminar on the restriction of unitary representations and their applications, Proceedings of the CIMPA School, held in Tunisia, July-August 1996 (P. Torasso, ed.), 1997.
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[40] T. Kobayashi, Lp-analysis on homogeneous manifolds of reductive type and representation theory, Proc. Japan Acad. 73 (1997), 62-66.
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[44] T. Kobayashi, Harmonic analysis on homogeneous manifolds of reductive type and unitary representation theory, Translations, Series II, Selected Papers on Harmonic Analysis, Groups, and Invariants (K. Nomizu, ed.), vol. 183, Amer. Math. Soc., 1998, pp. 1-31, ISBN 0-8218-0840-0.
[ full info | preprint version(dvi) | Amazon.com ]
[45] T. Kobayashi, Discrete series representations for the orbit spaces arising from two involutions of real reductive Lie groups, J. Funct. Anal. 152 (1998), 100-135.
[ full info | preprint version(dvi) | ScienceDirect ]
[46] T. Kobayashi, Discrete decomposability of the restriction of Aq(λ) with respect to reductive subgroups II - micro-local analysis and asymptotic K-support, Annals of Math. 147 (1998), no. 3, 709-729.
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[47] T. Kobayashi and T. Oda, A vanishing theorem for modular symbols on locally symmetric spaces, Comment. Math. Helv. 73 (1998), 45-70.
[ full info | preprint version(dvi) | SpringerLink ]
[48] T. Kobayashi, Discrete decomposability of the restriction of Aq(λ) with respect to reductive subgroups III - restriction of Harish-Chandra modules and associated varieties, Invent. Math. 131 (1998), 229-256.
[ full info | preprint version(dvi) | abstract(dvi) | SpringerLink ]
[51] T. Kobayashi, Theory of discretely decomposable restrictions of unitary representations and its development, Proceedings of Plenary Lectures of the Mathematical Society of Japan, held at Gakushuin University, Tokyo, March, 1999, 1999, pp. 1-19 (in Japanese).
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[52] T. Kobayashi, Theory of discretely decomposable restrictions of unitary representations of semisimple Lie groups and its developments, Sugaku 51 (1999), no. 4, 337-356 (in Japanese), an English translation is available.
[ full info | preprint version(dvi) ]
[57] T. Kobayashi, Multiplicity-free restrictions of unitary highest weight modules for reductive symmetric pairs, preprint UTMS 2000-1.
[ full info | preprint version(dvi) ]
[58] T. Kobayashi, Discretely decomposable restrictions of unitary representations of reductive Lie groups - examples and conjectures, Advanced Study in Pure Mathematics, Analysis on Homogeneous Spaces and Representation Theory of Lie Groups, Okayama-Kyoto (T. Kobayashi, M. Kashiwara, T. Matsuki, K. Nishiyama, and T. Oshima, eds.), vol. 26, 2000, pp. 98-126.
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[63] T. Kobayashi, Branching problems of unitary representations, Proc. of ICM 2002, Beijing, vol. 2, 2002, pp. 615-627, math.RT/0304326.
[ full info | arXiv | RIMS preprint(pdf) | RIMS preprint(ps.gz) ]
[69] T. Kobayashi, Branching problems of unitary representations, Proceedings of Symposium of Representation Theory, held at Fuji Haitsu, November 2002 (S. Sano, ed.), 2002, pp. 39-52.
[ full info | preprint version(dvi) ]
[83] T. Kobayashi, Restrictions of unitary representations of real reductive groups, Lie Theory: Unitary Representations and Compactifications of Symmetric Spaces (J.-P. Anker and B. Ørsted, eds.), Progress in Mathematics 229, Birkhauser, 2005, pp. 139-207.
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[85] T. Kobayashi, Theory of discrete decomposable branching laws of unitary representations of semisimple Lie groups and some applications, Sugaku Expositions 18 (2005), 1-37, a translation of the original article in Japanese.
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Last modified: 11 July 2006