RANDOM DIRICHLET TYPE FUNCTIONS ON THE UNIT BALL OF Cn
Abstract
The random Dirichlet type functions on the unit ball of Cn are studied. Sufficient conditions of the multipliers of for 0 < μ ≤ 1, if n = 1 or 0 < μ < 2 if n > 1 are given. The smoothness of random Dirichlet type functions is discussed.
Project supported by the National Natural Science Foundation of China and the Dectoral Programme Foundation of the Ministry of Education of China.