Jacobi sequences of powers of random variables-Reference-Cited by-同舟云学术

Jacobi sequences of powers of random variables

Published:2018-03 Issue:01 Volume:21 Page:1850001
ISSN:0219-0257
Container-title:Infinite Dimensional Analysis, Quantum Probability and Related Topics
language:en
Short-container-title:Infin. Dimens. Anal. Quantum. Probab. Relat. Top.

Author:

Accardi Luigi¹,Barhoumi Abdessatar²,Rhaima Mohamed³

Affiliation:

1. Centro Vito Volterra, Università di Roma Tor Vergata, Via di Tor Vergata, 00133 Roma, Italy

2. Department of Mathematics, Nabeul Preparatory Engineering Institute, University of Carthage, Campus Universitaire, Mrezgua, 8000 Nabeul, Tunisia

3. Department of Mathematics, Faculty of Sciences of Tunis, University of Tunis El-Manar, 1060 Tunis, Tunisia

Abstract

We express, in full generality, the Jacobi sequences and the orthogonal polynomials of the powers of a real-valued random variable [Formula: see text] with all moments, as functions of the corresponding sequences of the random variable itself.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219025718500017

Reference10 articles.

1. Jacobi sequences of squares of random variables

2. Fourier transform of random variables associated with the multi-dimensional Heisenberg Lie algebra

3. Interacting Fock Spaces and Gaussianization of Probability Measures

4. CHARACTERIZATION OF PROBABILITY MEASURES THROUGH THE CANONICALLY ASSOCIATED INTERACTING FOCK SPACES

5. PROBABILITY MEASURES IN TERMS OF CREATION, ANNIHILATION, AND NEUTRAL OPERATORS

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The quantum moment problem for a classical random variable and a classification of interacting Fock spaces;Infinite Dimensional Analysis, Quantum Probability and Related Topics;2022-03

2. The Non–linear and Quadratic Quantization Programs;Springer Proceedings in Mathematics & Statistics;2022

3. The qq-bit (III): Symmetric q-Jordan–Wigner embeddings;Infinite Dimensional Analysis, Quantum Probability and Related Topics;2019-03