一致有界可导周期函数定义的随机级数的分布

The distribution of the random series defined by a period and leaded function with boundary consistently

应用函数项随机级数的性质.讨论了形如P(t)=∑nξfn(t)的随机多项式,当fn(t)是一致有界可导周期函数,nξ是次G auss随机变量序列时‖P‖∞的分布.进而得到ξn为复次G auss随机变量序列时的类似结论.

Based on the properties of random series of functions,the distribution of the ‖P‖∞ of the random series P（t） =∑ξnfn（t） is given in this paper ,where ξn is a subgaussian sequence, fn（t） is defined by a period and leaded function with boundary consistently. When the complex subgaussian sequence is instead of the sequence of subgaussian , the results can also be proved.