On the relation of the square of white noise and the finite difference algebra

被引：16

作者：

Accardi, L

Skeide, M

机构：

[1] Univ Roma Tor Vergata, Ctr Vito Volterra, I-00133 Rome, Italy

[2] Brandenburg Tech Univ Cottbus, Lehrstuhl Wahrscheinlichkeitstheorie & Stat, D-03013 Cottbus, Germany

来源：

INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS | 2000年 / 3卷 / 01期

关键词：

D O I：

10.1142/S021902570000011X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The algebra of square of white noise(1) contains a subalgebra generated by elements fulfilling the relations of Feinsilver's finite difference algebra.(6) Moreover, Boukas' representation space(3) 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.

引用

页码：185 / 189

页数：5

共 9 条

[1] ACCARDI L, IN PRESS MATH NOTES
[2] ACCARDI L, IN PRESS LECT NOT VO
[3] AN EXAMPLE OF A QUANTUM EXPONENTIAL PROCESS
BOUKAS, A
[J]. MONATSHEFTE FUR MATHEMATIK, 1991, 112 (03): : 209 - 215
[4] BOUKAS A, 1988, THESIS SO ILLINOIS U
[5] BOUKAS A, 1981, QUANTUM PROBABILITY, V6
[6] DISCRETE ANALOGS OF THE HEISENBERG-WEYL ALGEBRA
FEINSILVER, P
[J]. MONATSHEFTE FUR MATHEMATIK, 1987, 104 (02): : 89 - 108
[7] Parthasarathy K. R., 1972, Lecture Notes in Mathematics, V272
[8] Parthasarathy KR, 1991, QUANTUM PROBABILITY, VVI, P371
[9] SNIADY P, 1999, QUADRATIC BOSONIC FR

← 1 →