Construction of continuous $g$-frames and continuous fusion frames

نویسندگان

  • Akbar Nazari Department of Mathematics, Science and Research Branch, Islamic Azad University, Kerman, Iran.
  • Mahdiyeh Khayyami Department of Mathematics, Science and Research Branch, Islamic Azad University, Kerman, Iran.
چکیده مقاله:

A generalization of the known results in fusion frames and $g$-frames theory to continuous fusion frames which defined by M. H. Faroughi and R. Ahmadi, is presented in this study. Continuous resolution of the identity (CRI) is introduced, a new family of CRI is constructed, and a number of reconstruction formulas are obtained. Also, new results are given on the duality of continuous fusion frames in Hilbert spaces.

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construction of continuous $g$-frames and continuous fusion frames

a generalization of the known results in fusion frames and $g$-frames theory to continuous fusion frames which defined by m. h. faroughi and r. ahmadi, is presented in this study. continuous resolution of the identity (cri) is introduced, a new family of cri is constructed, and a number of reconstruction formulas are obtained. also, new results are given on the duality of continuous fusion fram...

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عنوان ژورنال

دوره 04  شماره 1

صفحات  43- 55

تاریخ انتشار 2016-11-01

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