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Paper Information

Journal:   BANACH JOURNAL OF MATHEMATICAL ANALYSIS   2017 , Volume 11 , Number 1; Page(s) 1 To 20.
 
Paper: 

FRAMES AND REPRESENTING SYSTEMS IN FRECHET SPACES AND THEIR DUALS

 
 
Author(s):  BONET J., FERNANDEZ C., GALBIS A., RIBERA J.M.
 
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Abstract: 

Frames and Bessel sequences in Frechet spaces and their duals are defined and studied. Their relation with Schauder frames and representing systems is analyzed. The abstract results presented here, when applied to concrete spaces of analytic functions, give examples and consequences about sampling sets and Dirichlet series expansions.

 
Keyword(s): FRAMES, REPRESENTING SYSTEMS, FRECHET SPACES, (LB)-SPACES, WEAKLY SUFFICIENT SETS
 
References: 
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