Bases in the spaces of Whitney jets
type: Item
instance of: scholarly article
title: Bases in the spaces of Whitney jets
zbMATH Open document ID: 1490.46003
author: Yanyan Li
published in: Banach Journal of Mathematical Analysis
publication date: 2022-01-27T00:00:00Z
review text: The author deals with the problem of existence of a basis in spaces \(\mathcal{E}(K)\) of Whitney jets, where \(K\subset \mathbb{R}\) is a compact set of the form \(K=\{(a_k): k\in\mathbb{N}\}\cup\{0\}\), with \(\lim_k a_k=0\). The main result states that \(\mathcal{E}(K)\) admits a Schauder basis whenever \(a_k=e^{-\varphi(k)}\) for a function \(\varphi\) of subexponential growth satisfying certain mild conditions of regularity. This family includes geometric progressions.
reviewed by: Enrique Jordá
Mathematics Subject Classification ID: 46A35
Mathematics Subject Classification ID: 46E10
Mathematics Subject Classification ID: 41A10
zbMATH DE Number: 7465459
zbMATH Keywords: topological bases
zbMATH Keywords: Whitney jets
zbMATH Keywords: local Newton interpolations
zbMATH Keywords: functions of subexponential growth
MaRDI profile type: Publication
full work available at URL: s43037-021-00170-6
OpenAlex ID: W4205894594
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DOI: 10.1007/S43037-021-00170-6
description: scientific article; zbMATH DE number 7465459