ON THE RELATION OF THE SQUARE OF WHITE NOISE AND THE FINITE DIFFERENCE ALGEBRA-Reference-Cited by-同舟云学术

ON THE RELATION OF THE SQUARE OF WHITE NOISE AND THE FINITE DIFFERENCE ALGEBRA

Published:2000-03 Issue:01 Volume:03 Page:185-189
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,SKEIDE MICHAEL²

Affiliation:

1. Centro Vito Volterra, Università degli Studi di Roma "Tor Vergata", Via di Tor Vergata, s.n.c., 00133 Roma, Italia

2. Lehrstuhl für Wahrscheinlichkeitstheorie und Statistik, Brandenburgische Technische Universität Cottbus, Postfach 10 13 44, D-03013 Cottbus, Germany

Abstract

The algebra of square of white noise1 contains a subalgebra generated by elements fulfilling the relations of Feinsilver's finite difference algebra.6 Moreover, Boukas' representation space3 is the same as the representation space of the algebra of square of white noise discovered in Ref. 2. In other words, Boukas' representation extends to a representation of the algebra of square of white noise.

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/S021902570000011X

Reference3 articles.

1. An example of a quantum exponential process

2. Discrete analogues of the Heisenberg-Weyl algebra

Cited by 15 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. Identification of the one-mode quadratic Heisenberg group with the projective group PSU(1,1) and holomorphic representation;Infinite Dimensional Analysis, Quantum Probability and Related Topics;2020-12

2. Self-adjointness and boundedness in quadratic quantization;Journal of Mathematical Physics;2014-05

3. ON THE QUADRATIC FOCK FUNCTOR;Infinite Dimensional Analysis, Quantum Probability and Related Topics;2012-06

4. The quadratic Fock functor;Journal of Mathematical Physics;2010-02

5. Extending the Set of Quadratic Exponential Vectors;Quantum Probability and Infinite Dimensional Analysis;2010-02