We study the analytic characterization of [Formula: see text]-transform in a general setting of white noise functionals. Then, the measurability condition of the norms generating the underlining locally convex space is a necessary and sufficient condition for the analytic characterization of the [Formula: see text]-transform in terms of analytic and growth conditions.

中文翻译：

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用于无限维分布的一般构造的 S 变换的表征

我们在白噪声泛函的一般设置中研究 [Formula: see text]-transform 的解析表征。那么，生成下划线局部凸空间的范数的可测性条件是[公式：见正文]-变换在解析和增长条件方面解析表征的必要和充分条件。