Correction to: Wiener Algebras and Trigonometric Series in a Coordinated Fashion (Constructive Approximation, (2021), 54, 2, (185-206), 10.1007/s00365-021-09527-4)

E. Liflyand, R. Trigub

Research output: Contribution to journalComment/debate

Abstract

In our recent paper [1], a misleading paragraph from a draft of our manuscript has appeared on p. 192 after (2.3) in the proof of Theorem 3. The theorem is correct while the proof can be corrected in a simple and natural way as follows. Formula (2.3) is valid if one replaces the Fourier transform on the left-hand side of (2.3) by the Fourier transform of the function (Formula presented.) , where (Formula presented.). By this, (2.3) simply follows from (2.2). Then, the paragraph following after (2.3) (the one in question) must be omitted. The proof after it (now immediately after (2.3)) goes along the same lines but with (Formula presented.) in place of (Formula presented.) (Formula presented.).

Original languageEnglish
Pages (from-to)251
Number of pages1
JournalConstructive Approximation
Volume58
Issue number1
DOIs
StatePublished - Aug 2023

Bibliographical note

Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Springer Science+Business Media, LLC part of Springer Nature.

Fingerprint

Dive into the research topics of 'Correction to: Wiener Algebras and Trigonometric Series in a Coordinated Fashion (Constructive Approximation, (2021), 54, 2, (185-206), 10.1007/s00365-021-09527-4)'. Together they form a unique fingerprint.

Cite this