• H Javanshiri

      Articles written in Proceedings – Mathematical Sciences

    • Discretization of Continuous Frame

      A Fattahi H Javanshiri

      More Details Abstract Fulltext PDF

      In this paper we consider the notion of continuous frame of subspaces and define a new concept of continuous frame, entitled continuous atomic resolution of identity, for arbitrary Hilbert space $\mathcal{H}$ which has a countable reconstruction formula. Among the other results, we characterize the relationship between this new concept and other known continuous frames. Finally, we state and prove the assertions of the stability of perturbation in this concept.

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