[1] Ahlfors L V. On the fixed points of M\"{o}bius transformations in Rn. Ann Acad Sci Fenn Ser A I Math, 1985, 10: 15--27
[2] 曹文胜. 四维代数Clifford的相似与合相似. 数学物理学报, 2010, 30A: 531--541
[3] Frunzã M. M\"{o}bius transformations in infinite dimension. Rev Roumaine Math Pures Appl, 1991, 36: 369--376
[4] Hersonsky S. A generalization of the Shimizu-Leutbecher and J{\o}rgensen inequalities to M\"{o}bius transformations in RN. Proc Amer Math Soc, 1994, 121: 209--215
[5] J\o rgensen T. On discrete groups of M\"obius transformations. Amer J Math, 1976, 98: 739--749
[6] 李浏兰. 一类无穷维M\"obius变换. 江西师范大学自然科学学报, 2009, 33: 556--559
[7] Li L. A generalization of J{\o}rgensen's inequality to infinite dimension. New York J Math, 2011, 17: 1--9
[8] Leutbecher A. \"{U}ber Spitzen diskontinuierlicher gruppen von lineargebrochenen transformationen. Math Z, 1967, 100: 183--200
[9] 李浏兰, 王仙桃. 关于无穷维M\"obius变换. 黑龙江大学自然科学学报, 2005, 22: 497--500
[10] Ohtake H. On the discontinous subgroups with parabolic transformations of the M\"{o}bius groups. J Math Kyoto Uni, 1985, 25: 807--816
[11] Shimizu H. On discontinuous group operating on the product of the upper half planes. Ann Math, 1963, 77: 33--71
[12] Vahlen K. Uber Bewegungen und complex Zahlen. Math Ann, 1902, 55: 585--593
[13] 王仙桃. Shimizu-Leutbecher不等式及J{\o}rgensen不等式在高维M\"{o}bius中的推广. 科学通报, 1996, 22: 2109--2110
[14] Waterman P. M\"obius transformations in several dimensions. Adv in Math, 1993, 101: 87--113
[15] Wielenberg N J. Discrete M\"obius groups: fundamental polyhedra and convergence. Amer J Math, 1977, 99: 861--877
[16] 王仙桃, 王桦. 高维Klein群的一个不等式及其应用. 数学进展, 2005, 34: 448--454 |