论文信息 - Lévy processes and Fourier analysis on compact Lie groups - 字舞流文

Lévy processes and Fourier analysis on compact Lie groups

We study the Fourier expansion of the distribution density of a Levy process in a compact Lie group based on the Peter-Weyl theorem.

Ming Liao | M. Liao

[1] E. Siebert. Fourier analysis and limit theorems for convolution semigroups on a locally compact group , 1981 .

[2] S. Helgason. Groups and geometric analysis , 1984 .

[3] S. Ramaswami. Semigroups of Measures on Lie Groups , 1974 .

[4] David Applebaum,et al. Compound Poisson Processes and Lévy Processes in Groups and Symmetric Spaces , 2000 .

[5] R. Gangolli. Isotropic infinitely divisible measures on symmetric spaces , 1964 .

[6] M. Liao. DYNAMICAL PROPERTIES OF LÉVY PROCESSES IN LIE GROUPS , 2002 .

[7] D. Applebaum. Lévy Processes in Stochastic Differential Geometry , 2001 .

[8] J. Rosenthal. Random Rotations: Characters and Random Walks on SO(N) , 1994 .

[9] P. Diaconis. Group representations in probability and statistics , 1988 .

[10] M. Liao. Lévy processes in semisimple Lie groups and stability of stochastic flows , 1998 .

[11] K. Nomizu,et al. Foundations of Differential Geometry , 1963 .

[12] A. Klyachko. Random walks on symmetric spaces and inequalities for matrix spectra , 2000 .

[13] K. Maurin. Representations of Compact Lie Groups , 1997 .