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T. Kobayashi and B. Ørsted, Conformal geometry and branching laws for
unitary representations attached to minimal nilpotent orbits, C. R. Acad.
Sci. Paris 326 (1998), 925-930. [ full info | preprint version(dvi) | ScienceDirect ] |
| [67] |
T. Kobayashi, On the canonical inner product on the space of global solutions
of the Yamabe operator, Proceedings of Differential Geometry Symposium on
''Various Geometric Structures'', 2002, pp. 4-5. [ full info | abstract(dvi) ] |
| [68] |
T. Kobayashi, The canonical inner product on the space of solutions of the
Yamabe operator, Surikaiseki Kokyuroku, RIMS
1294 (2002), 76-86 (in Japanese), Representations of Noncomutative
Algebraic Systems and Harmonic Analysis (organized by T. Ohta). [ full info | preprint version(pdf) | preprint version(dvi) ] |
| [70] |
T. Kobayashi and B. Ørsted, Analysis on the minimal representations of
O(p,q), I. - Realization and conformal geometry, Adv. Math.
180 (2003), 486-512. [ full info | arXiv | RIMS preprint(pdf) | RIMS preprint(ps.gz) | preprint version(pdf) | preprint version(dvi) | ScienceDirect ] |
| [71] |
T. Kobayashi and B. Ørsted, Analysis on the minimal representations of O(p,q),
II. - Branching laws, Adv. Math. 180 (2003), 513-550. [ full info | arXiv | RIMS preprint(pdf) | RIMS preprint(ps.gz) | preprint version(pdf) | preprint version(dvi) | ScienceDirect ] |
| [72] |
T. Kobayashi and B. Ørsted, Analysis on the minimal representations of O(p,q),
III. - Ultra-hyperbolic equations on Rp-1,q-1, Adv.
Math. 180 (2003), 551-595. [ full info | arXiv | RIMS preprint(pdf) | RIMS preprint(ps.gz) | preprint version(pdf) | preprint version(dvi) | ScienceDirect ] |
| [73] |
T. Kobayashi, Conformal geometry and global solutions to the yamabe
equations on classical pseudo-riemannian manifolds, Supplemento di
Rendiconti del Circolo Matematico di Palermo, Serie II 71
(2003), 15-40, Lecture Notes of the 22th Winter School 2002 on Geometry and
Physics, Czech Republic. [ full info | RIMS preprint(pdf) | RIMS preprint(ps.gz) ] |
| [75] |
T. Kobayashi, Schrodinger model of the minimal representation of
O(p,q), Surikaiseki Kokyuroku, RIMS
1342 (2003), 107-116 (in Japanese), Automorphic Forms on Type IV
Symmetric Domains (edited by T. Oda). [ full info | preprint version(pdf) | preprint version(dvi) ] |
| [81] |
T. Kobayashi and G. Mano, Integral formulas for the minimal
representations for O(p, 2), Acta Appl. Math. 83 (2005),
103-113. [ full info | DocuRights | RIMS preprint(pdf) | RIMS preprint(ps.gz) ] |
| [88] |
T. Kobayashi and G. Mano, The minimal representation of O(p,2) and an
integral formula for the inversion operator, Surikaiseki Kokyuroku, RIMS
1410 (2005), 173-187 (in Japanese), Representation Theory and Harmonic
Analysis on Homogeneous Spaces (organized by J. Inoue). [ full info | preprint version(pdf) | preprint version(dvi) ] |
| [89] |
T. Kobayashi, Fourier transform of a minimal K-type vector in the
minimal representation of O(p+1,q+1), Surikaiseki Kokyuroku, RIMS
1421 (2005), 1-11 (in Japanese), Automorphic Forms on Sp(2,R) and
SU(2,2), III (organized by T. Oda). [ full info | preprint version(pdf) | preprint version(dvi) ] |
| [92] |
T. Kobayashi and G. Mano, The inversion operator for the minimal
representation of O(p,q), Surikaiseki Kokyuroku, RIMS
1467 (2006), 51-61 (in Japanese), Representation Theory of Groups and
Extension of Harmonic Analysis (edited by T. Kawazoe). [ full info | preprint version(dvi) ] |
| [100] |
T. Kobayashi and G. Mano, Integral formula of the unitary inversion
operator for the minimal representation of O(p,q), Proc. Japan Acad. Ser. A 83 (2007), no. 3, 27-31. [ full info ] |
| [P] |
T. Kobayashi and G. Mano, The inversion formula and holomorphic extension
of the minimal representation of the conformal group, Harmonic Analysis, Group Representations, Automorphic Forms and Invariant Theory: In Honour of Roger E. Howe (Jian-Shu Li, Eng-Chye Tan, Nolan Wallach, and Chen-Bo Zhu, eds.), Singapore University Press and World Scientific Publishing, to appear.
math.RT/0607007. [ full info ] |