Remarks on q-ccr relations for |q|>1

被引：7

作者：

Bozejko, Marek ^{[1
]}

机构：

[1] Univ Wroclaw, Inst Math, PL-50384 Wroclaw, Poland

来源：

NONCOMMUTATIVE HARMONIC ANALYSIS WITH APPLICATIONS TO PROBABILITY | 2007年 / 78卷

关键词：

In paper we give a construction of operators satisfying q-CCR relations for q > 1; A(f)A(*)(g)-A(*)(g)A(f)=q(N)<; f; g; I; and also q-CAR relations for a <-1; B(f)B-*(g)+B-*(g) B(f)=|q|(N) < f; where N is th number operator on a suitable Fock space F-q(H); N-x1 circle times center dot center dot center dot circle times=n(x1)circle times center dot center dot center dot circle times x(n); Some applications to combinatorial problems are also given;

D O I：

10.4064/bc78-0-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

引用

页码：59 / 67

页数：9

共 50 条

[21] The approximation of logarithmic function by q-Bernstein polynomials in the case q > 1
Ostrovska, Sofiya
[J]. NUMERICAL ALGORITHMS, 2007, 44 (01) : 69 - 82
[22] Discrete coordinate realizations of the q-oscillator when q>1
Atakishiyev, N. M.
Klimyk, A. U.
[J]. MODERN PHYSICS LETTERS A, 2006, 21 (29) : 2205 - 2216
[23] Some Remarks on the Total CR Q and Q′-Curvatures
Marugame, Taiji
[J]. SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2018, 14
[24] Some Approximation Results on Compact Sets by (p, q)-Bernstein-Faber Polynomials, q > p > 1
Naaz, Ambreen
Mursaleen, M.
[J]. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2019, 43 (A5): : 2585 - 2593
[25] The Lp dual Minkowski problem for p > 1 and q > 0
Boroczky, Karoly J.
Fodor, Ferenc
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 266 (12) : 7980 - 8033
[26] APPROXIMATION BY Q-DURRMEYER - STANCU POLYNOMIALS IN COMPACT DISKS IN THE CASE OF Q > 1
Kara, M.
[J]. MISKOLC MATHEMATICAL NOTES, 2017, 18 (02) : 859 - 872
[27] Approximation by q-Durrmeyer type polynomials in compact disks in the case q > 1
Mahmudov, Nazim I.
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2014, 237 : 293 - 303
[28] Approximation properties of bivariate complex q-Bernstein polynomials in the case q > 1
Mahmudov, Nazim I.
[J]. CZECHOSLOVAK MATHEMATICAL JOURNAL, 2012, 62 (02) : 557 - 566
[29] Approximation by Complex q-Szasz-Kantorovich Operators in Compact Disks, q > 1
Gal, Sorin G.
Mahmudov, Nazim I.
Kara, Mustafa
[J]. COMPLEX ANALYSIS AND OPERATOR THEORY, 2013, 7 (06) : 1853 - 1867
[30] The saturation of convergence on the interval [0,1] for the q-Bernstein polynomials in the case q > 1
Wu, Zhuangzhi
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 357 (01) : 137 - 141

← 1 2 3 4 5 →

Remarks on q-ccr relations for |q|&gt;1

Remarks on q-ccr relations for |q|>1