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Original Articles

Rotation invariance of quantum Laplacians

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Pages 335-345 | Received 05 Apr 2010, Accepted 29 Sep 2010, Published online: 04 Jul 2011

References

  • Gannoun , R. , Hachaichi , R. , Ouerdiane , H. and Rezgui , A. 2000 . Un théorème de dualité entre espaces de fonctions holomorphes à croissance exponentielle . J. Funct. Anal. , 171 ( 1 ) : 1 – 14 .
  • Hida , T. 1975 . Analysis of Brownian Functionals , Carleton Math. Notes, No. 13 Ottawa : Carleton University .
  • Hida , T. and Potthoff , J. 1990 . “ White noise analysis: An overview ” . In White Noise Analysis , Edited by: Hida , T. , Kuo , H.-H. , Potthoff , J. and Streit , L. 140 – 165 . Singapore New Jersey London Hong Kong : World Scientific .
  • Hida , T. , Kuo , H.-H. , Potthoff , J. and Streit , L. 1993 . White Noise: An Infinite Dimensional Calculus , Dordrecht : Kluwer Academic Publishers .
  • Horrigue , S. and Ouerdiane , H. 2008 . Gross Laplacian acting on operators . Acta Appl. Math. , 105 : 227 – 239 .
  • Ji , U.C. , Obata , N. and Ouerdiane , H. 2002 . Analytic characterization of generalized fock space operators as two-variable entire functions with growth condition . Infin. Dimens. Anal. Quantum Probab. Relat. Top. , 5 ( 3 ) : 395 – 407 .
  • Obata , N. 1992 . Rotation-invariant operators on white noise functionals . Math. Z. , 210 : 69 – 89 .
  • Ouerdiane , H. 1994 . Fonctionnelles analytiques avec condition de croissance et application à l'analyse gaussienne . Japan. J. Math. , 20 ( 1 ) : 187 – 198 .
  • Yoshizawa , H. 1970 . “ Rotation group of Hilbert space and its application to Brownian motion ” . In Proceedings of International Conference on Functional Analysis and Related Topics , 414 – 423 . Tokyo : University of Tokyo Press .

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