Analytic characterizations of infinite dimensional distributions

Accardi Luigi; Ji Un Cig; Saito Kimiaki

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Analytic characterizations of infinite dimensional distributions

机译：无限尺寸分布的分析特性

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摘要

We revisit the analytic characterization theorem for S-transform of infinite dimensional distributions. Then we prove that the nuclearity of the space of test white noise functionals is a necessary condition for the characterization of the S-transform in terms of analytic and growth conditions.

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来源
《Infinite dimensional analysis, quantum probability, and related topics》 |2017年第2期|共13页
作者
Accardi Luigi; Ji Un Cig; Saito Kimiaki;
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作者单位

Univ Roma Tor Vergata Ctr Vito Volterra Via Columbia 2 I-00133 Rome Italy;

Chungbuk Natl Univ Inst Ind &

Appl Math Dept Math Cheongju 28644 South Korea;

Meijo Univ Dept Math Nagoya Aichi 468 Japan;

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原文格式 PDF
正文语种 eng
中图分类物理学;
关键词
White noise theory; S-transform; Bargmann-Segal space; analytic characterization;

机译：白噪声理论;S变换;Bargmann-Segal Space;分析表征;

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专利

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机译：无限尺寸空间的分布与分析措施
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机译：无限维空间上的解析函数和新的分布理论
7. Characterization of S-transform for general construction of infinite-dimensional distributions [J] . Accardi Luigi, Ji Un Cig, Saito Kimiaki Infinite dimensional analysis, quantum probability, and related topics . 2019,第2期

机译：无限尺寸分布一般施工S转换的表征
8. Approximate analytical solution to the stationary two-dimensional heat conduction problem on infinite bar with the source of heat [C] . V K Tkachev International Scientific and Technical Conference on Energy Systems . 2019

机译：近似分析解析稳定二维导热问题与热源源
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机译：解析同调性在无限维度中消失了。
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机译：均匀代数谱中shilov边界和无限维分析结构的无限维推广

Analytic characterizations of infinite dimensional distributions

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