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The Asymptotic Behavior of Singular Numbers of Compact Pseudodifferential Operators with Symbol Nonsmooth in Spatial Variables. / Karol’, A. I.
в: Functional Analysis and its Applications, Том 53, № 4, 01.10.2019, стр. 313-316.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - The Asymptotic Behavior of Singular Numbers of Compact Pseudodifferential Operators with Symbol Nonsmooth in Spatial Variables
AU - Karol’, A. I.
N1 - Funding Information: This work was supported by RFBR grant no. 18-01-00472. Publisher Copyright: © 2019, Pleiades Publishing, Ltd. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2019/10/1
Y1 - 2019/10/1
N2 - Compact pseudodifferential operators whose symbol fails to be smooth with respect to x on a given set are considered. Conditions under which Weyl’s law of spectral asymptotics remains valid for such operators are obtained. The results are applied to operators with symbols such that their order of decay as |ξ| → ∞ is a nonsmooth function of x.
AB - Compact pseudodifferential operators whose symbol fails to be smooth with respect to x on a given set are considered. Conditions under which Weyl’s law of spectral asymptotics remains valid for such operators are obtained. The results are applied to operators with symbols such that their order of decay as |ξ| → ∞ is a nonsmooth function of x.
KW - bounds for singular numbers
KW - nonsmooth symbol
KW - pseudodifferential operator
KW - spectral asymptotics
UR - http://www.scopus.com/inward/record.url?scp=85078334877&partnerID=8YFLogxK
U2 - 10.1134/S0016266319040099
DO - 10.1134/S0016266319040099
M3 - Article
AN - SCOPUS:85078334877
VL - 53
SP - 313
EP - 316
JO - Functional Analysis and its Applications
JF - Functional Analysis and its Applications
SN - 0016-2663
IS - 4
ER -
ID: 71278112