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T. Kobayashi, Bounded multiplicity branching for symmetric pairs,
Journal of Lie Theory 33 (2023), no. 1, 305-328, Special Volume for
Karl Heinrich Hofmann. Available also at
arXiv: 2210.13146. [ full info ] |
| [328] |
T. Kobayashi, Multiplicity in restricting minimal representations, Lie
Theory and Its Applications in Physics. LT 2021 (V. Dobrev, ed.), Springer
Proceedings in Mathematics & Statistics, vol. 396, Springer-Nature,
pp. 3-20, DOI:
10.1007/978-981-19-4751-3_1. Available also at
arXiv: 2204.05079. [ full info ] |
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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 ] |
| [215] |
T. Kobayashi and G. Savin, Global uniqueness of small representations,
Mathematische Zeitschrift 281 (2015), no. 1-2, 215-239. Published online first on 22 May 2015.
DOI:
10.1007/s00209-015-1481-0. arXiv:
1412.8019. [ full info ] |
| [213] |
T. Kobayashi and B. Speh, Symmetry breaking for representations of rank
one orthogonal groups, vol. 238, Memoirs of American Mathematical Society,
no. 1126, 2015, Published electronically May 12, 2015. 118 pp.
arXiv: 1310.3213. ISBN:
978-1-4704-1922-6. DOI:
10.1090/memo/1126. [ full info ] |
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T. Kobayashi, F-method for symmetry breaking operators, Differential
Geometry and its Applications 33 (2014), 272-289, Special Issue
“Interaction of Geometry and Representation Theory: Exploring New
Frontiers” (in honor of Michael Eastwood's 60th birthday).
arXiv:1303.3541.
DOI:10.1016/j.difgeo.2013.10.003. [ full info ] |
| [195] |
J. Hilgert, T. Kobayashi, and J. Möllers, Minimal representations
via Bessel operators, J. Math. Soc. Japan 66 (2014), 349-414,
DOI: 10.2969/jmsj/06620349.
arXiv:1106.3621. [ full info ] |
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T. Kobayashi, Special functions in minimal representations, Perspectives
in Representation Theory in honor of Igor Frenkel on his 60th birthday
(Pavel Etingof, Miikhail Khovanov, and Alistair Savage, eds.), Comtemporary
Mathematics, vol. 610, Amer. Math. Soc., Providence, RI, 2014, pp. 253-266,
DOI: 10.1090/conm/610/12103.
arXiv:1301.5505. [ full info ] |
| [179] |
T. Kobayashi, Varna lecture on L2-analysis of minimal
representations, Lie Theory and Its Applications in Physics: IXth
International Workshop (V. Dobrev, ed.), Springer Proceedings in Mathematics
& Statistics, vol. 36, Springer, 2013, pp. 77-93,
DOI:
10.1007/978-4-431-54270-4_6. arXiv:
1212.6871. [ full info ] |
| [178] |
T. Kobayashi and Y. Oshima, Classification of symmetric pairs with
discretely decomposable restrictions of (g,K)-modules,
Journal für die reine und angewandte Mathematik (Crelles Journal)
2015 (2015), no. 703, 201-223, published online 2013 July 13. 19
pp.
DOI:10.1515/crelle-2013-0045.
arXiv: 1202.5743. [ full info ] |
| [166] |
J. Hilgert, T. Kobayashi, J. Möllers, and B. Ørsted, Fock
model and Segal-Bargmann transform for minimal representations of
Hermitian Lie groups, Journal of Functional Analysis 263 (2012), 3492-3563.
DOI: 10.1016/j.jfa.2012.08.026.
arXiv:1203.5462.
[ full info ] |
| [163] |
S. Ben Saïd, T. Kobayashi, and B. Ørsted, Laguerre
semigroup and Dunkl operators, Compositio Mathematica 148 (2012), 1265-1336, DOI: 10.1112/S0010437X11007445.
arXiv:0907.3749 [math.RT]. [ full info ] |
| [157] |
T. Kobayashi, Geometric analysis on minimal representations, Ninth Oka
Symposium Lecture Notes (J. Matsuzawa and S. Tsunoda, eds.), Department of
Mathematics, Faculty of Science, Nara Women's University, 2011, pp. 27-61. [ full info ] |
| [152] |
T. Kobayashi and J. Möllers, An integral formula for
L2-eigenfunctions of a fourth order Bessel-type differential
operator, Integral Transforms and Special Functions 22 (2011), no. 7, 521-531, (published
online first, on 27 January 2011), DOI:
10.1080/10652469.2010.533270. arXiv:1003.2699 [math.CA]. [ full info ] |
| [151] |
T. Kobayashi, B. Ørsted, and M. Pevzner, Geometric analysis on
small unitary representations of GL(n,R), J. Funct. Anal.
260 (2011), no. 6, 1682-1720, (published online first, on 28
December 2010). DOI:
10.1016/j.jfa/2010.12.008.
arXiv:1002.3006 [math.RT]. [ full info ] |
| [150] |
T. Kobayashi, Algebraic analysis of minimal representations, Publ. RIMS (Publications of the Research Institute for Mathematical Sciences)
47, no. 2, Special issue in commemoration of the golden jubilee of algebraic analysis, (2011), 585-611. arXiv:1001.0224 [math.RT]. [ full info ] |
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J. Hilgert, T. Kobayashi, G. Mano, and J. Möllers, Orthogonal
polynomials associated to a certain fourth order differential equation,
Ramanujan Journal 26 (2011), 295-310, DOI:
10.1007/s11139-011-9338-6.
arXiv:0907.2612 [math.CA]. [ full info ] |
| [148] |
J. Hilgert, T. Kobayashi, G. Mano, and J. Möllers, Special functions associated to a certain fourth order differential
equation, Ramanujan Journal 26 (2011), no.1, 1-34. (published online August 31, 2011).
DOI: 10.1007/s11139-011-9315-0. arXiv:0907.2608
[math.CA]. [ full info ] |
| [146] |
T. Kobayashi and G. Mano, The Schrödinger model for the minimal
representation of the indefinite orthogonal group O(p, q), Mem. Amer.
Math. Soc. 212, no. 1000, vi+132 pp., (published online first, on 4
February 2011). DOI:
10.1090/S0065-9266-2011-00592-7. arXiv:0712.1769
[math.RT]. [ full info ] |
| [132] |
S. Ben Saïd, T. Kobayashi, and B. Ørsted, Generalized
Fourier transforms Fk,a, C. R. Math. Acad. Sci. Paris
347 (2009), 1119-1124, (published online first, on 21 August 2009). [ full info ] |
| [106] |
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 ] |
| [105] |
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, 2007, pp. 159-223. ISBN 978-9812770783.
math.RT/0607007. [ full info ] |
| [94] |
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 ] |
| [91] |
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 ] |
| [90] |
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 ] |
| [83] |
T. Kobayashi and G. Mano, Integral formulas for the minimal
representations for O(p, 2), Acta Appl. Math. 83 (2005),
103-113. [ full info ] |
| [77] |
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 ] |
| [75] |
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 ] |
| [74] |
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.
math.RT/0111086 [ full info ] |
| [73] |
T. Kobayashi and B. Ørsted, Analysis on the minimal representations of O(p,q),
II. - Branching laws, Adv. Math. 180 (2003), 513-550.
math.RT/0111085 [ full info ] |
| [72] |
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.
math.RT/0111083 [ full info ] |
| [70] |
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 ] |
| [69] |
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 ] |
| [51] |
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 ] |
© Toshiyuki Kobayashi