Characterization of S-transform for general construction of infinite-dimensional distributions

Accardi Luigi; Ji Un Cig; Saito Kimiaki

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Characterization of S-transform for general construction of infinite-dimensional distributions

机译：无限尺寸分布一般施工S转换的表征

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摘要

We study the analytic characterization of S-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 S-transform in terms of analytic and growth conditions.

机译：我们研究了白噪声功能的一般设置中S转换的分析表征。然后，产生下划线局部凸起空间的规范的可测量条件是在分析和生长条件方面对S转化的分析表征的必要和充分条件。

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《Infinite dimensional analysis, quantum probability, and related topics》 |2019年第2期|共19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; measurable norm;

机译：白噪声理论;S变换;argmann-segal空间;分析表征;可测量的规范;

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专利

1. 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
2. S-transform and hermite transform of hilbert space-valued stochastic distributions with applications to stochastic differential equations [J] . Melnikova I.V., Alshanskiy M.A. Integral transforms and special functions . 2011,第4a5期

机译：希尔伯特空间值随机分布的S变换和Hermite变换及其在随机微分方程中的应用
3. S-transform and Hermite transform of Hilbert space-valued stochastic distributions with applications to stochastic differential equations [J] . I. V. Melnikovaa*, M. A. Alshanskiyb Integral Transforms and Special Functions . 2011,第4a5期

机译：Hilbert空间值随机分布的S变换和Hermite变换及其在随机微分方程中的应用
4. Virtual Lagrangian Construction Method for Infinite-Dimensional Systems with Homotopy Operators [C] . Gou Nishida, Masaki Yamakita, Zhiwei Luo IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control . 2007

机译：具有同型算子无限尺寸系统的虚拟拉格朗日施工方法
5. CONSTRUCTION AND EVALUATION OF TESTS OF FIT--APPLICATIONS OF CHARACTERIZATIONS AND PROFILES OF DISTRIBUTIONS [D] . LIN, CHING-CHUONG. 1977

机译：FIT测试的构建和评估-分布特征和分布图的应用
6. The S-Transform of Distributions [O] . Sunil Kumar Singh -1

机译：分布的S变换
7. The Frobenius theorem for Banach distributions on infinite-dimensional manifolds and applications in infinite-dimensional Lie theory [O] . Eyni, Jan Milan 2014

机译：Banach分布的无限维数的Frobenius定理无限维Lie理论中的流形和应用
8. Characterizations of Geometric Distribution and Discrete IFR (DFR) Distributions Using Order Statistics. [R] . El-Neweihi, E., Govindarajulu, Z. 1978

机译：使用顺序统计表征几何分布和离散IFR（DFR）分布。

Characterization of S-transform for general construction of infinite-dimensional distributions

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