Real-analytic non-integrable functions on the plane with equal iterated integrals
type: Item
instance of: scholarly article
title: Real-analytic non-integrable functions on the plane with equal iterated integrals
zbMATH Open document ID: 1490.26033
author: L. Bernal-González
author: Andreas Jung
author: María del Carmen Calderón-Moreno
published in: Results in Mathematics
publication date: 2022-01-31T00:00:00Z
review text: This note shows that there exists in $C(\mathbb{R}^2)$ a dense subspace of real-analytic functions in which each nonzero member is not integrable on $\mathbb{R}^2$ but yet has equal iterated integrals in the two orders.
reviewed by: Pisheng Ding
Mathematics Subject Classification ID: 26E05
Mathematics Subject Classification ID: 26B15
Mathematics Subject Classification ID: 28A35
Mathematics Subject Classification ID: 46B87
zbMATH DE Number: 7466705
zbMATH Keywords: Fubini's theorem
zbMATH Keywords: real analytic functions
zbMATH Keywords: iterated integrals
MaRDI profile type: Publication
full work available at URL: s00025-021-01571-7
OpenAlex ID: W4200591009
Wikidata QID: Q114231962
cites work: Q3331506
cites work: Lineability
cites work: Anti-Fubini and pseudo-Fubini functions
cites work: Q3271946
cites work: Q5178046
cites work: Q5518756
cites work: Q3590277
cites work: Q4339232
DOI: 10.1007/S00025-021-01571-7
description: scientific article; zbMATH DE number 7466705