FRAME MULTIRESOLUTION ANALYSIS AND INFINITE TREES IN BANACH SPACES ON LOCALLY COMPACT ABELIAN GROUPS-中国期刊网

摘要 WeextendtheconceptofframemultiresolutionanalysistoalocallycompactabeliangroupanduseittodefinecertainweightedBanachspacesandthespacesoftheirantifunctionals.Wedefineanalysisandsynthesisoperatorsonthesespacesandestablishthecontinuityoftheircomposition.Also,weproveageneralresulttocharacterizeinfinitetreesintheaboveBanachspacesofantifunctionals.ThispaperpavesthewayforthestudyofcorrespondingproblemsassociatedwithsomeothertypesofBanachspacesonlocallycompactabeliangroupsincludingmodulationspaces.

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FRAME MULTIRESOLUTION ANALYSIS AND INFINITE TREES IN BANACH SPACES ON LOCALLY COMPACT ABELIAN GROUPS

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FRAME MULTIRESOLUTION ANALYSIS AND INFINITE TREES IN BANACH SPACES ON LOCALLY COMPACT ABELIAN GROUPS

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