Matematičeskie zametki, Tome 18 (1975) no. 6, pp. 887-894
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A. K. Pulatov. The divergence of spectral decompositions connected with homogeneous elliptic operators. Matematičeskie zametki, Tome 18 (1975) no. 6, pp. 887-894. http://geodesic.mathdoc.fr/item/MZM_1975_18_6_a10/
@article{MZM_1975_18_6_a10,
author = {A. K. Pulatov},
title = {The divergence of spectral decompositions connected with homogeneous elliptic operators},
journal = {Matemati\v{c}eskie zametki},
pages = {887--894},
year = {1975},
volume = {18},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1975_18_6_a10/}
}
TY - JOUR
AU - A. K. Pulatov
TI - The divergence of spectral decompositions connected with homogeneous elliptic operators
JO - Matematičeskie zametki
PY - 1975
SP - 887
EP - 894
VL - 18
IS - 6
UR - http://geodesic.mathdoc.fr/item/MZM_1975_18_6_a10/
LA - ru
ID - MZM_1975_18_6_a10
ER -
%0 Journal Article
%A A. K. Pulatov
%T The divergence of spectral decompositions connected with homogeneous elliptic operators
%J Matematičeskie zametki
%D 1975
%P 887-894
%V 18
%N 6
%U http://geodesic.mathdoc.fr/item/MZM_1975_18_6_a10/
%G ru
%F MZM_1975_18_6_a10
In this work an asymptotic formula is obtained for the means of the Riesz spectral function of a homogeneous elliptic operator of arbitrary order $m\ge2$ with constant coefficients. Conditions are obtained under which localization (and convergence) of the means of the Riesz spectral decompositions of functions from the Hölder class is absent.
