A construction of complete minimal, but not uniformly minimal, exponential systems with real separable spectrum in \(L^ p\) and \(C\)
type: Item
instance of: scholarly article
title: A construction of complete minimal, but not uniformly minimal, exponential systems with real separable spectrum in \(L^ p\) and \(C\)
zbMATH Open document ID: 0876.42030
DOI: 10.1007/BF02305097
author: A. M. Sedletskii
published in: Mathematical Notes
publication date: 1996-07-09T00:00:00Z
review text: The author constructs examples of sequences \(\{\lambda_n\}\subset\mathbb{R}\) that are uniformly discrete (i.e., \(\inf_{n\neq m}|\lambda_n-\lambda_m|>0)\) and such that the corresponding exponential systems \(\{\exp(i\lambda_nt)\}\) are complete, minimal, and not uniformly minimal in the spaces \(L^1(-\pi,\pi)\), \(L^p(-\pi,\pi)\), \(1<p<\infty\), and \(C(-\pi,\pi)\).
Mathematics Subject Classification ID: 42C30
Mathematics Subject Classification ID: 42A65
zbMATH DE Number: 898964
zbMATH Keywords: completeness
zbMATH Keywords: nonharmonic Fourier series
zbMATH Keywords: biorthogonal systems
zbMATH Keywords: exponential systems
MaRDI profile type: Publication
cites work: Q4760427
cites work: Completeness of sets of complex exponentials
full work available at URL: https://doi.org/10.1007/bf02305097
OpenAlex ID: W2064974397
description: scientific article; zbMATH DE number 898964