TY - JOUR
T1 - HOMEOMORPHISMS AND FOURIER EXPANSION
AU - Kozma, Gady
AU - Olevskiı, Alexander M.
N1 - Publisher Copyright:
© 2023 Michigan State University Press. All rights reserved.
PY - 2023
Y1 - 2023
N2 - We survey our recent result that for every continuous function there is an absolutely continuous homeomorphism such that the composition has a uniformly converging Fourier expansion. We mention the history of the problem, orginally stated by Luzin, and some details of the proof.
AB - We survey our recent result that for every continuous function there is an absolutely continuous homeomorphism such that the composition has a uniformly converging Fourier expansion. We mention the history of the problem, orginally stated by Luzin, and some details of the proof.
KW - Luzin’s conjecture
KW - random homeomorphisms
UR - http://www.scopus.com/inward/record.url?scp=85175061482&partnerID=8YFLogxK
U2 - 10.14321/realanalexch.48.2.1680708522
DO - 10.14321/realanalexch.48.2.1680708522
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AN - SCOPUS:85175061482
SN - 0147-1937
VL - 48
SP - 237
EP - 250
JO - Real Analysis Exchange
JF - Real Analysis Exchange
IS - 2
ER -