Rotation-invariant of Quantum Gross Laplacian

被引：1
|
作者：
Horrigue, Samah [1 ]
Ouerdiane, Habib [1 ]
机构：
[1] Univ Tunis El Manar, Fac Sci Tunis, Dept Math, Tunis 1060, Tunisia
来源：
QUANTUM THEORY: RECONSIDERATION OF FOUNDATIONS - 5 | 2010年 / 1232卷
关键词：
Space of entire functions with growth condition; symbols and kernels of operators; rotation-invariance operators; quantum Gross Laplacian; OPERATORS;
D O I：
10.1063/1.3431503
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we prove that the quantum Gross Laplacian denoted Delta(QG) is a rotation-invariant operator. For this purpose, we use the Schwartz-Grothendieck kernel theorem and the characterization theorem of rotation-invariant distributions and operators.
引用
收藏
页码：288 / 293
页数：6
相关论文
共 50 条
  • [1] Rotation-invariant neoperceptron
    Fasel, Beat
    Gatica-Perez, Daniel
    [J]. 18TH INTERNATIONAL CONFERENCE ON PATTERN RECOGNITION, VOL 3, PROCEEDINGS, 2006, : 336 - +
  • [2] Rotation-invariant texture recognition
    Montoya-Zegarra, Javier A.
    Papa, Joao P.
    Leite, Neucimar J.
    Torres, Ricardo da Silva
    Falcao, Alexandre X.
    [J]. ADVANCES IN VISUAL COMPUTING, PROCEEDINGS, PT 2, 2007, 4842 : 193 - +
  • [3] ROTATION-INVARIANT IMAGE CLASSIFICATION
    WERNICK, MN
    ISBERG, TA
    MORRIS, GM
    [J]. JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1986, 3 (13): : P86 - P86
  • [4] On the structure of rotation-invariant semigroups
    Sándor Jenei
    [J]. Archive for Mathematical Logic, 2003, 42 : 489 - 514
  • [5] On the structure of rotation-invariant semigroups
    Jenei, S
    [J]. ARCHIVE FOR MATHEMATICAL LOGIC, 2003, 42 (05) : 489 - 514
  • [6] Rotation-invariant photorefractive correlator
    Wen, ZQ
    Yang, XY
    [J]. PHOTOREFRACTIVE FIBER AND CRYSTAL DEVICES: MATERIALS, OPTICAL PROPERTIES, AND APPLICATIONS II, 1996, 2849 : 285 - 292
  • [7] A rotation-invariant pattern signature
    Simoncelli, EP
    [J]. INTERNATIONAL CONFERENCE ON IMAGE PROCESSING, PROCEEDINGS - VOL III, 1996, : 185 - 188
  • [8] Rotation-Invariant Completion Network
    Chen, Yu
    Shi, Pengcheng
    [J]. PATTERN RECOGNITION AND COMPUTER VISION, PRCV 2023, PT II, 2024, 14426 : 115 - 127
  • [9] Rotation-invariant texture classification
    Lahajnar, F
    Kovacic, S
    [J]. PATTERN RECOGNITION LETTERS, 2003, 24 (9-10) : 1151 - 1161
  • [10] Computational model for rotation-invariant perception
    Yang, Wenlu
    Zhang, Liqing
    Ma, Libo
    [J]. ICNC 2007: THIRD INTERNATIONAL CONFERENCE ON NATURAL COMPUTATION, VOL 2, PROCEEDINGS, 2007, : 144 - +
12345