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群似酉系统上的算子值框架生成元

Operator Valued Frame Generators for Group-like Unitary Systems
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摘要 主要研究了投影酉表示的算子值框架生成元定义,分析算子的性质及投影酉表示具有算子值框架生成元的充分必要条件. This paper makes a study of the definition of the operator valued frames generators for the group-like unitary system,the properties of the analysis operator and the sufficient and necessary condition for the projective unitary representation to have an operator-valued frames generator.
作者 孙广海
机构地区 南京航空航天大学理学院
出处 《西安文理学院学报（自然科学版）》 2012年第1期8-11,共4页 Journal of Xi’an University(Natural Science Edition)
基金 国家自然科学基金资助项目(No.11171151)
关键词 群似酉系统 投影酉表示 算子值框架生成元. group-like unitary systems projective unitary representation operator-valued frame generator
分类号 O177.1 [理学—基础数学]
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参考文献11

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二级参考文献24

  • 1Aron Pasieka,David W. Kribs,Raymond Laflamme,Rajesh Pereira.On the Geometric Interpretation of Single Qubit Quantum Operations on the Bloch Sphere[J]. Acta Applicandae Mathematicae . 2009 (3)
  • 2Deguang Han.Dilations and Completions for Gabor Systems[J]. Journal of Fourier Analysis and Applications . 2009 (2)
  • 3Peter G. Casazza,Jelena Kova?evi?.Equal-Norm Tight Frames with Erasures[J]. Advances in Computational Mathematics . 2003 (2-4)
  • 4Sun W.G-frames and g-Riesz bases. Journal of Mathematical Analysis and Applications .
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  • 6Lopez J,Han D.Optimal dual frames for erasures. Linear Algebra and Its Applications . 2010
  • 7Kribs D.A brief introduction to operator quantum error correction. Operator Theory, Operator Algebras, and Applications, Contemp Math . 2006
  • 8Han D,Larson D.Frames, Bases and Group Representations. Memoirs of the American Mathematical Society . 2000
  • 9Han D.The existence of tight Gabor duals for Gabor frames and subspace Gabor frames. Journal of Functional Analysis . 2009
  • 10Eldar Y,Blcskei H.Geometrically uniform frames. IEEE Transactions on Information Theory . 2003

共引文献7

西安文理学院学报（自然科学版）
2012年 第1期

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