L²-Müntz spaces as model spaces

2017/06/11 by Fricain, Emmanuel, Lefevre, Pascal · 2 citations
#30B10 #30H10 #46E22 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1706.03347

Abstract

We emphasize a bridge between two areas of function theory: hilbertian Müntz spaces and model spaces of the Hardy space of the right half plane. We give miscellaneous applications of this viewpoint to hilbertian Müntz spaces.

Cited by

• On Markushevich bases \x^λ_n\_n=1^∞ for their closed span in weighted L² (A) spaces over sets A⊂ [0,∞) of positive Lebesgue measure, hereditary completeness, and moment problems
• On Strong Markushevich bases \t^λ_n\_n=1^∞ in their closed span in L² (0, 1) and characterizing a subspace of H² (\mathbbD)

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