随机幂级数序列的伪连续性和循环性
Pseudocontinuation and cyclicity for random power series
摘要：
证明了Hardy空间$H^2$中的随机函数对于后向移位算子几乎必然是非循环向量.研究了随机解析函数的局部伪延拓的存在性问题。
英文摘要：
We prove that a random function in the Hardy space $H^2$ is a non-cyclic vector for the backward shift operator almost surely. The question of existence of a local pseudocontinuation for a random analytic function is also studied.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
