Talks given at NuHAG events

Frames for Frechet spaces

  Diana Stoeva

  given at  strobl07 (17.06.07)
  id:  555
  length:  min
  status:  accepted
  type:  poster
The motivation behind the present work comes from Banach frames and Xd-frames. During the last years, series expansions in a Banach space X and its dual X* via a Banach frame or an Xd-frame have been of interest.

In the present talk we extend the concept of a frame to Fr\'echet spaces. We consider family of Banach spaces and determine conditions, implying series expansions in their projective and inductive limit. The results are applicable to some important Fr\'echet spaces, for example the Schwartz class S of rapidly decreasing functions, which can be written as projective limit of certain modulation spaces.

The present work is joint with S. Pilipovic and N. Teofanov.

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