The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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GABOR LIKE STRUCTURED FRAMES IN SEPARABLE HILBERT SPACES

  • Jineesh Thomas (St. Thomas College Palai) ;
  • N.M.M. Namboothiri (Department of Mathematics, Government College Shanthanpara) ;
  • T.C.E. Nambudiri (Department of Mathematics, Government Brennen College Kannur)
  • Received : 2023.12.12
  • Accepted : 2024.04.03
  • Published : 2024.05.31
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Abstract

We obtain a structured class of frames in separable Hilbert spaces which are generalizations of Gabor frames in L2(ℝ) in their construction aspects. For this, the concept of Gabor type unitary systems in [13] is generalized by considering a system of invertible operators in place of unitary systems. Pseudo Gabor like frames and pseudo Gabor frames are introduced and the corresponding frame operators are characterized.

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References

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