Talks given at NuHAG events

Biframe Duals and Reflexivity

  Mohammad Ali Dehghan

  given at  strobl07 (21.06.07 09:30)
  id:  651
  length:  25min
  status:  accepted
  type:  talk
Biframe Duals and Reflexivity

M.A.Dehghan and S.Eismaiilpour

The Ron-Shen duality priciple , Wexler-Raz biorthogonality relations and other duality priciples play a fundamental role for analyzing dual Gabor frames.The question arises wether which of priciples can be generalized to abstract theory.
We are going to show that for each sequence in a separable Hilbert space we can construct a corresponding sequence with a kind of duality relation between them.One type of this construction has done by P.G.Casassa, G.Kutyniok and M.C.Lammers by use two orthonormal bases.
We extend this construction by use of two frames instead of orthonormal bases.
These duals depend on the situation of two frames. In fact the independence of the situation of frames leads to reflexive sequence that has studied in the last of article.

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