A note on the invertibility of the gabor frame operator on certain modulation spaces

HIGHLIGHTS

• who: Dae Gwan Lee from the Eichstu00e4tt, Germany have published the Article: A Note on the Invertibility of the Gabor Frame Operator on Certain Modulation Spaces, in the Journal: (JOURNAL)
• what: In this note, the authors show that the answer is affirmative for all of these spaces: Theorem 1.1 Let V u2208 {H 1 (Rd ), L 21+|x| (Rd ), H1 (Rd )}. Even more, the authors show in the Appendix that there exist Bessel vectors g u2208 H1 (R) for which Janssen`s representation neither converges unconditionally in the strong sense nor conditionally in the . . .
  

   

  

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