発表論文 （神谷茂保）
1. On the fixed points of elliptic elements of B-groups, Hiroshima Math. J. 8 (2) (1978),401-408.
2. On a certain combination theorem, The Bulletin of the Okayama Univ. of Science,14 (1979), 9-11.
3. Remarks on the limit set of normal subgroups of kleinian groups, The Bulletin of theOkayama Univ. of Science, 14 (1979), 13-14.
4. On the fixed points of elliptic elements of finitely generated function groups, The
Bulletin of the Okayama Univ. of Science, 14 (1979), 15-17.
5. A remark on normal subgroups of kleinian groups, The Bulletin of the Okayama
Univ. of Science, 16 (1981), 53-54.
6. A certain theorem on the unitary group U(1,n;F), The Bulletin of the Okayama Univ.
of Science, 16 (1981), 55-57.
7. Notes on Mobius transformations in several dimensions, TheBulletin of the Okayama
Univ. of Science, 18 (1983), 1-6.
8. Notes on non-discrete subgroups of U(1,n;F), Hiroshima Math. J. 13 (3) (1983),501-506.
9. On subgroups of convergence or divergence type of U(1,n;C), Math. J. Okayama
Univ. 26 (1984), 179-191.
10. On some series associated with discrete subgroups of U(1,n;C), Math. J. Okayama
Univ. 26 (1984), 193-197.
11. The action of discrete subgroups of U(1,n;C),Proc. of International Conference onMathematical Methods (1988), 1-10, Chiang Mai Univ.
12. Notes on metrics and counting functions on ∂Bn, The Bulletin of the Okayama
Univ. of Science, 18 (1989), 1-6.
13. Loxodromic fixed points of discrete subgroups of U(1,n;C), International
Conference on Dynamical Systems, Control Theory and Applications, (1989), 16
14. Discrete subgroups of U(1,n;C) on the product space∂Bn ×∂Bn×…×∂Bn,
Quart. J. Math. (Oxford) 41 (1990), 287-294.
15. Discrete subgroups of convergence type of U(1,n;C), Hiroshima Math. J. 21 (1)(1991), 1-21.
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16. Notes on elements of U(1,n;C), Hiroshima Math. J. 21 (1) (1991), 23-45.
17. Notes on some classical series associated with discrete subgroups of U(1,n;C)on∂Bn ×∂Bn×∂Bn, Proc. Japan Acad. 68 Ser. A (6) (1992), 137-139.
18. The action of discrete subgroups of U(1,n;C) on∂Bn, Math. Japon. 37 (5) (1992),927-933.
19. Fractal dimensions of rivers in Japan, The Bulletin of the Okayama Univ. ofScience, 28 (1993), 309-318. (Japanese)
20. Notes on discrete subgroups of convergence type of U(1,n;C), Math. Japon. 38(3)(1993), 583-587.
21. On H-balls and canonical regions of loxodromic elements in complex hyperbolicspace, Math. Proc. Cambridge Phil. Soc. 113 (1993), 573-582.
22. Chordal and matrix norms of unitary transformations, Proc. of the 1st Korean–Japanese Colloquium on Finite or Infinite Dimensional Complex Analysis (1993),
121-125.
23. Spinal hypersurfaces in complex hyperbolic spacee, RIMS Koukyuuroku 882”Complex Analysis on Hyperbolic Spaces” (1994), 33-40.
24. (with Sunahara, Ohtagaki and Fujimoto) On the control performance and optimal
stationary states of nonlinear system, Proc. of the Conference on Information
Sciences (1995), 313-314. (Japanese)
25. (with Sunahara, Ohtagaki and Ohta) Receding control of nonlinear stational system,
Proc. of the Conference on Measurement and Control Theory, (1995), 212-213.
(Japanese)
26. Remarks on points of approximation of discrete subgroups of U(1,n;C), Manuscripta
Math., 85 (1995), 299-306.
27. Parabolic elements of U(1,n;C), Revue Roumaine de Math. Pure et Appl., 40 (1995),
55-64.
28. On points of approximaition of discrete subgroups of U(1,n;C), Proc. of theConference on Complex Analysis, Hiroshima Univ. (1996), 135-140.
29. On Heisenberg translations of discrete subgroups of U(1,n;C), RIMS Koukyuroku
967 ”Analysis of discrete groups” (1996), 188-195. (Japanese)
30. Discrete subgroups of PU(1,2;C), RIMS Koukyuroku 1022 ”Analysis of DiscreteGroups II” (1997), 117-122.
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31. Discrete subgroups of PU(1,2;C) with Heisenberg translations, Proc. of the 5thinternational Colloquium on Finite or Infinite Dimensional Complex Analysis,
the Institute of Mathematics of Beijing univ., (1997), 137-140.
32. (with Takami, Araki, Kanbane and Garushinha) Flows in the square tubes withguided fans, Turbo Mechanics, 26, 10 (1998), 599-606. (Japanese)
33. (with Araki, Mizushima and Yanase) Stability of the spherical Couette flow,
Trans. of Japan Soc. of Mechanical Engineering, 64-626 B (1998), 3175-3182.
(Japanese)
34. Notes on discrete subgroups of PU(1,2;C) with Heisenberg translations, RIMS
Koukyuroku 1065 ”Analysis and Geometry of Hyperbolic Spaces” (1998), 28-32.
35. Generalized isometric spheres of elements of PU(1,n;C), RIMS Koukyuroku 1104
“Hyperbolic Spaces and Related Topics” (1999), 133-136.
36. Notes on discrete subgroups of PU(1,2;C) with Heisenberg translations II, RIMS
Koukyuroku 1163 “Hyperbolic Spaces and Related Topics II” (2000), 99-102.
37. Generalized isometric spheres of elements of PU(1,n;C), Proc. of the 2nd ISAAC
Congress (2000), 1149-1154, Kluwer Academic Publishers.
38. On discrete subgroups of PU(1,2;C) with Heisenberg translations, Journal ofLondon Math. Soc.(2) 62 (2000), 827-842.
39. Notes on discrete subgroups of PU(1,2;C) with Heisenberg translations III, RIMS
Koukyuroku 1223 “Hyperbolic Spaces and Discrete Groups” (2001), 56-60.
40. (with J. Parker) Notes on discrete subgroups of PU(1,2;C) with Heisenberg
translations IV, RIMS Koukyuroku 1223 “Hyperbolic Spaces and Discrete GroupsII” (2002), 138-144.
41. Jorgensen’s Inequality for Complex Hyperbolic Space, Proc. of the 6th Conference
on Real and Complex Analysis (Hiroshima Univ.) (2002), 32-36.
42. (with J. Parker) On discrete subgroups of PU(1,2;C) with Heisenberg translations II,Revue Roumaine de Math. Pure et Appl., 47 (2002), 689-695.
43. Jorgensen’s Inequality for Complex Hyperbolic Space, RIMS Koukyuroku 1329
“Perspectives of Hyperbolic Spaces” (2003), 138-144.
44. (with J.Yueping and J. Parker) Jorgensen’s inequality for complex hyperbolic space,
Geomatriae Dedicata 97(2003), 55-80.

345. Generalized isometric spheres and fundamental domains for discrete subgroupsof PU(1,n;C), Proc. Japan Acad. 79 Ser. A (5 ), (2003), 105-109.
46. Notes on discrete subgroups of PU(1,2;C) with parabolic elements, RIMS
Koukyuroku 1387 “Perspectives of Hyperbolic Spaces II” (2004), 10-15.
47. Discrete subgroups of PU(1,2;C) with parabolic elements, Proc. of the International
Conference on Finite or Infinite Dimensional Complex Analysis, ICU (2004), 155162, Kyushu Univ. Press 2005.
48. Notes on discrete subgroups of PU(1,2;C) with screw parabolic elements, RIMS
Koukyuroku 1518 “ Complex Analysis and Geometry of Hyperbolic Spaces ”(2006), 1-5.
49. Discreteness of subgroups of PU(1,2;C), Proc. of the 9th International Conferences
on Real and Complex Analysis, Hiroshima Univ., (2006), 48-55.
50. Remarks on complex hyperbolic triangle groups, Proc. of the 15th International
Conference on Finite or Infinite Dimensional Complex Analysis (2007), 219-223.
51. (with J. Parker) Discrete subgroups of PU(1,2;C) with screw parabolic elements,
Math. Proc. Cambridge Phil. Soc. 444, 2 (2008), 443-455.
52. (with J. Thompson and J. Parker) Notes on complex hyperbolic triangle groups,Conformal Geometry and Dynamics, Vol.14 (2010), 202-218.
53. Complex hyperbolic triangle group of type (p,q,r;n), The Proceedings of the 13th
Conference on Real and Complex Analysis, Hiroshima Univ., (2011), 52-57.
54. (with J. Thompson and J. Parker) Non-discrete complex hyperbolic triangle groupsof type (n,n,∞;k), Canadian Mathematical Bulletin, 53, 2, (2013), 329-338.
55. Note on non-discrete complex hyperbolic triangle groups of type (n,n,∞;k),Proc. Japan Acad. Ser. (A), 89, 8 (2013), 100-102.
56. Complex hyperbolic triangle groups of type (n,n,∞), Mathematics Newsletter(Ramanujan Mathematical Society), 24, 4 (2014), 97-103.

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