6533b7d6fe1ef96bd12670a6

RESEARCH PRODUCT

Frames and representing systems in Fréchet spaces and their duals

Juan Miguel RiberaJuan Miguel RiberaAntonio GalbisCarmen FernándezJosé Bonet

subject

Pure mathematicsRelation (database)(LB)-spacesrepresenting systems010103 numerical & computational mathematics01 natural sciencesMathematical research46A04 42C15 46A13 46E10Fréchet spacesweakly sufficient setssymbols.namesake$(LB)$-spacesDIDACTICA DE LA MATEMATICA0101 mathematics46A1346E10Dirichlet seriesMathematicsAlgebra and Number Theory42C15Group (mathematics)010102 general mathematicsSampling (statistics)Representing systemsMathematics - Functional AnalysisFramesframessymbolsDual polyhedronWeakly sufficient setsFrechet spacesMATEMATICA APLICADAAnalysisBessel function46A04Analytic function

description

[EN] Frames and Bessel sequences in Fr\'echet 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 many examples and consequences about sampling sets and Dirichlet series expansions.

yearjournalcountryeditionlanguage
2014-11-13
10.1215/17358787-3721183http://projecteuclid.org/euclid.bjma/1476841711