从轻微的有色噪声到无单位的产品系统
From slightly coloured noises to unitless product systems
摘要：
平稳高斯广义随机过程具有缓慢下降的谱密度，产生William Arveson意义下的乘积系统（基本上，希尔伯特空间的连续张量积系统）。构造了一个非同构无单位乘积系统的连续统，回答了Arveson的一个问题。
英文摘要：
Stationary Gaussian generalized random processes having slowly decreasing spectral densities give rise to product systems in the sense of William Arveson (basically, continuous tensor product systems of Hilbert spaces). A continuum of nonisomorphic unitless product systems is produced, answering a question of Arveson.
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。
