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Pair Frames

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Abstract

In this paper, a new concept related to the frame theory is introduced; the notion of pair frame. By investigating some properties of such frames, it is shown that pair frames are a generalization of ordinary frames. Some classes of pair frames are considered such as (p, q)-pair frames and near identity pair frames.

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Authors and Affiliations

  1. Department of Basic Sciences, Ilam University, Ilam, Iran

    Abolhassan Fereydooni

  2. Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran

    Ahmad Safapour

Authors
  1. Abolhassan Fereydooni
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  2. Ahmad Safapour
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Correspondence to Abolhassan Fereydooni.

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Fereydooni, A., Safapour, A. Pair Frames. Results. Math. 66, 247–263 (2014). https://doi.org/10.1007/s00025-014-0375-5

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  • DOI: https://doi.org/10.1007/s00025-014-0375-5

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