Correction up to functions with sparce spectrum and uniformly convergent Fourier integral representation: the group~$\mathbb R^n$
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 46, Tome 467 (2018), pp. 116-127
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This is an $\mathbb R^n$-conterpart of certain considerations on a similar subject for compact Abelian groups exposed by P. Ivanishvili and the author in 2010. The main difference with that paper is that certain notions and results of measure theory should be invoked in the case of $\mathbb R^n$.
@article{ZNSL_2018_467_a10,
author = {S. V. Kislyakov},
title = {Correction up to functions with sparce spectrum and uniformly convergent {Fourier} integral representation: the group~$\mathbb R^n$},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {116--127},
publisher = {mathdoc},
volume = {467},
year = {2018},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2018_467_a10/}
}
TY - JOUR AU - S. V. Kislyakov TI - Correction up to functions with sparce spectrum and uniformly convergent Fourier integral representation: the group~$\mathbb R^n$ JO - Zapiski Nauchnykh Seminarov POMI PY - 2018 SP - 116 EP - 127 VL - 467 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_2018_467_a10/ LA - ru ID - ZNSL_2018_467_a10 ER -
%0 Journal Article %A S. V. Kislyakov %T Correction up to functions with sparce spectrum and uniformly convergent Fourier integral representation: the group~$\mathbb R^n$ %J Zapiski Nauchnykh Seminarov POMI %D 2018 %P 116-127 %V 467 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZNSL_2018_467_a10/ %G ru %F ZNSL_2018_467_a10
S. V. Kislyakov. Correction up to functions with sparce spectrum and uniformly convergent Fourier integral representation: the group~$\mathbb R^n$. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 46, Tome 467 (2018), pp. 116-127. http://geodesic.mathdoc.fr/item/ZNSL_2018_467_a10/