• Title of article

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

  • Author/Authors

    -، - نويسنده Department of Mathematics, Science and Research Branch, Islamic Azad University, Kerman, Iran. Khayyami, Mahdiyeh , -، - نويسنده Department of Mathematics, Science and Research Branch, Islamic Azad University, Kerman, Iran. Nazari, Akbar

  • Issue Information
    دوفصلنامه با شماره پیاپی سال 2016
  • Pages
    13
  • From page
    43
  • To page
    55
  • Abstract
    -
  • Abstract
    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.
  • Journal title
    Sahand Communications in Mathematical Analysis
  • Serial Year
    2016
  • Journal title
    Sahand Communications in Mathematical Analysis
  • Record number

    2401769