Convolution and central limit theorem arising from addition of field operators in one-mode type interacting Fock spaces

Krystek AD; Wojakowski LJ

首页> 外文期刊>Infinite dimensional analysis, quantum probability, and related topics >Convolution and central limit theorem arising from addition of field operators in one-mode type interacting Fock spaces

【24h】

Convolution and central limit theorem arising from addition of field operators in one-mode type interacting Fock spaces

机译：在单模类型相互作用Fock空间中添加场算符而产生的卷积和中心极限定理

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

In Ref. 2 the authors introduced field operators in one-mode type Interacting Fock Spaces whose spectral measures have common symmetric Jacobi recurrence coefficients but differ in the nonsymmetric ones. We show that the convolution of measures arising from addition of such field operators is the universal convolution of Accardi and Bozejko. We also present the associated central limit theorem in a more general form than in Ref. 2 and give it a proof based on the properties of the convolution.

机译：在参考文献中2作者介绍了一种单模交互作用Fock空间中的场算子，其频谱量度具有相同的对称Jacobi递归系数，但在非对称变量中有所不同。我们表明，由于添加了此类现场操作员而引起的措施的卷积就是Accardi和Bozejko的普遍卷积。我们还以比参考文献中更一般的形式介绍了相关的中心极限定理。 2并基于卷积的性质给出证明。

著录项

来源
《Infinite dimensional analysis, quantum probability, and related topics》 |2005年第4期|共7页
作者
Krystek AD; Wojakowski LJ;
展开▼
作者单位

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类物理学;
关键词
interacting Fock space; convolution; limit theorems;

机译：相互作用的Fock空间;卷积;极限定理;

相似文献

外文文献
中文文献
专利

1. Convolution and central limit theorem arising from addition of field operators in one-mode type interacting Fock spaces [J] . Krystek AD, Wojakowski LJ Infinite dimensional analysis, quantum probability, and related topics . 2005,第4期

机译：在单模类型相互作用Fock空间中添加场算符而产生的卷积和中心极限定理
2. Constructive universal central limit theorems based on interacting fock spaces [J] . Accardi L, Crismale V, Lu YG Infinite dimensional analysis, quantum probability, and related topics . 2005,第4期

机译：基于相互作用福克空间的构造性通用中心极限定理
3. Szegoe-Type Limit Theorems for Generalized Discrete Convolution Operators [J] . I. B. Simonenko Mathematical notes . 2005,第2期

机译：广义离散卷积算子的Szegoe型极限定理
4. Some Approximation Theorems for a General Class of Discrete Type Operators in Spaces with a Polynomial Weight [C] . Ewa Magnucka-Blandzi, Zbigniew Walczak International Conference of Numerical Analysis and Applied Mathematics . 2016

机译：具有多项式重量的空间中的一般离散型算子的一些近似定理
5. Central limit theorems for strictly stationary random fields under strong mixing conditions. [D] . Tone, Cristiana. 2010

机译：在强混合条件下严格平稳的随机场的中心极限定理。
6. MAPPING THEOREMS FOR NONCOMPACT NONLINEAR OPERATORS IN BANACH SPACES [O] . Felix E. Browder 1965

机译：Banach空间中非紧非线性算子的映射定理。
7. Constructive universal central limit theorems based on interacting Fock spaces [O] . Accardi L, Crismale V, Lu Y.G. 2005

机译：基于交互Fock空间的构造性通用中心极限定理
8. Convolution Metrics and Rates of Convergence in the CLT (Central Limit Theorem) [R] . Rachev, S. T., Yukich, J. E. 1987

机译：CLT中的卷积度量和收敛速度（中心极限定理）

Convolution and central limit theorem arising from addition of field operators in one-mode type interacting Fock spaces

摘要

著录项

相似文献

相关主题

期刊订阅