Hereditary completeness for systems of exponentials in weighted L²-spaces

2025/03/23 by Semenov, Andrei V.
#30A10 #30H20 #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2503.18131

Abstract

We prove that for a weight w, which has at least polynomial decay, there exists a complete and minimal system \e^{iλ_n t}\_{n∈ ℕ} of exponentials in weighted space L²(w) on (-π,π), which is not hereditarily complete.

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