| [P] |
T. Kobayashi, Generating operators of symmetry breaking---from discrete to continuous, preprint. 17 pp.
arXiv: 2307.16587. [ full info ] |
| [P] |
T. Kobayashi and M. Pevzner, A generating operator for Rankin-Cohen
brackets, preprint. 24 pp. arXiv:
2306.16800. [ full info ] |
| [318] |
T. Kobayashi and M. Pevzner, Inversion of Rankin-Cohen operators via
holographic transform, Ann. Inst. Fourier (Grenoble) 70 (2020),
no. 5, 2131-2190, arXiv: 1812.09733. [ full info ] |
| [277] |
T. Kobayashi, Conformal symmetry breaking on differential forms and some
applications, Geometric Methods in Physics XXXVI workshop 2017
(P. Kielanowski, A. Odzijewicz, and E. Previato, eds.), Trends in
Mathematics, Birkhäuser, Cham, 2019, pp. 289-308,
DOI:
10.1007/978-3-030-01156-7_32. arXiv:
1712.09212. [ full info ] |
| [276] |
T. Kobayashi and A. Leontiev, Double Gegenbauer expansion of
|s- t|α, Integral Transforms and Special Functions, 30 (7) (2019) ,
pp.512-525. Published online: 26 Mar 2019.
DOI:
10.1080/10652469.2019.1585433. arXiv:
1902.08064. [ full info ] |
| [271] |
T. Kobayashi, Residue formula for regular symmetry breaking operators,
Contemporary Mathematics, vol. 714, pp. 175-193, Amer. Math.Soc., 2018,
arXiv: 1709.05035.
10.1090/conm/714/14380. [ full info ] |
| [268] |
T. Kobayashi and B. Speh, Symmetry breaking for representations of rank
one orthogonal groups II, Lecture Notes in Mathematics, vol. 2234,
Springer, 2018. xv+342 pages, ISBN: 978-981-13-2900-5, eBook: 978-981-13-2901-2.
arXiv: 1801.00158. [ full info ] |
| [228] |
T. Kobayashi, A. Nilsson, and F. Sato, Maximal semigroup symmetry and
discrete Riesz transforms, Journal of the Australian Mathematical Society 100 (2016), issue 2, 216-240, Published Online, 14 December 2015.
DOI:
10.1017/S144678871500049X. [ 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 ] |
| [197] |
T. Kobayashi and B. Speh, Intertwining operators and the restriction of
representations of rank one orthogonal groups, C. R. Acad. Sci. Paris, Ser.
I 352 (2014), 89-94,
DOI:
10.1016/j.crma.2013.11.018. [ full info ] |
| [194] |
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 ] |
| [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 ] |
| [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 ] |
| [149] |
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 ] |
| [147] |
J.-L. Clerc, T. Kobayashi, B. Ørsted, and M. Pevzner, Generalized
Bernstein-Reznikov integrals, Mathematische Annalen 349
(2011), no. 2, 395-431, (published online first, on 4 May 2010). DOI:
10.1007/s00208-010-0516-4.
arXiv:0906.2874 [math.CA]. [ 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 ] |
| [127] |
T. Kobayashi, B. Ørsted, M. Pevzner, and A. Unterberger, Composition
formulas in the Weyl calculus, J. Funct. Anal. 257 (2009), 948-991. [ full info ] |
| [125] |
T. Kobayashi and A. Nilsson, Indefinite higher Riesz transforms, Arkiv
för Matematik 47 (2009), 331-344, (published online first, on
3 March 2008). [ full info ] |
| [116] |
T. Kobayashi and A. Nilsson, Group invariance and Lp-bounded
operators, Math. Z. (2007), 29 pp. (published online first, on 22 November
2007). [ full info ] |
| [92] |
T. Kobayashi and A. Nilsson, Invariant multipliers and
O(p,q)-action, Proceedings of Symposium on Representation Theory 2005,
held at Kakegawa, November 15-18, 2005 (S. Aoki, S. Kato, and H. Oda, eds.),
pp. 10-21. [ full info ] |
| [79] |
T. Kobayashi and A. Nilsson, Characterizing multipliers by relative
invariance, Surikaiseki Kokyuroku, RIMS
1348 (2003), 10-22, Expansion of Lie Theory and New Advances
(organized by S. Ariki). [ full info ] |
| [32] |
T. Kobayashi, Integral geometry for submanifolds and Plancherel formulas of
complex homogeneous manifolds, Proceedings on the Symposium on
Representation Theory at Toyama (November 16-19, 1994), 1994, pp. 16-25 (in
Japanese). [ full info ] |
| [28] |
T. Kobayashi, Bounded domains and the zero sets of Fourier transforms, 75
Years of Radon Transforms (S. Gindikin and P. Michor, eds.), International
Press, Hongkong, 1994, pp. 223-239, Conference Proceedings and Lecture Notes
in Mathematical Physics, IV. [ full info ] |
| [24] |
T. Kobayashi, Perturbations of domains in the Pompeiu problem, Comm. Anal.
Geom. 1 (1993), 29-55. [ full info ] |
| [20] |
T. Kobayashi, Convex domains and Fourier transform on spaces of constant
curvature, Lecture Notes of the UNESCO-CIMPA School on ''Invariant
differential operators on Lie groups and homogeneous spaces'', at WuHan
University in P. R. China, 1991 (P. Torasso, ed.), 112 pp. [ full info ] |
| [10] |
T. Kobayashi, How can we VIEW from silhouettes?, Sugaku Seminar 9
(1989), Nippon Hyoronsha, 82-87 (in Japanese), reproduced in ''Gendai Sugaku
no Ayumi 4''. [ full info ] |
| [8] |
T. Kobayashi, Asymptotic behaviours of the null variety for a convex
domain in a non-positively curved space form, Jour. Fac. Sci. Univ. Tokyo
36 (1989), no. 3, 389-478. [ full info ] |
| [2] |
T. Kobayashi, The null variety of the Fourier transform of the
characteristic function of a convex domain, Master Dissertation I, the
University of Tokyo, 1987, 98 pp. [ full info ] |
| [1] |
T. Kobayashi, The null variety of the Fourier-Laplace transform of
the characteristic function of a bounded domain, Seminar Reports of Unitary
Representation 6 (1986), 1-18 (in Japanese), at the annual
conference on unitary representation theory at Toba (organized by K.
Kumahara). [ full info ] |
© Toshiyuki Kobayashi