The Singular Values of Compact Pseudodifferential Operators with Spatially Nonsmooth Symbols

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The Singular Values of Compact Pseudodifferential Operators with Spatially Nonsmooth Symbols. / Karol, A. I.

In: Siberian Mathematical Journal, Vol. 61, No. 4, 07.2020, p. 671-686.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{773623e9173d4711acd1da2ddaaec41a,

title = "The Singular Values of Compact Pseudodifferential Operators with Spatially Nonsmooth Symbols",

abstract = "Considering compact pseudodifferential operators with symbolswhose smoothness in $ x $ vanishes on a prescribed set,we obtain some validity conditions for the Weyl spectral asymptotics of singular values.These results are applied to the symbols whose decay order as $ |\xi|\to\infty $is a nonsmooth function of $ x $.",

keywords = "517.9, nonsmooth symbol, pseudodifferential operator, singular values, Weyl{\textquoteright}s asymptotics",

author = "Karol, {A. I.}",

year = "2020",

month = jul,

doi = "10.1134/S0037446620040096",

language = "English",

volume = "61",

pages = "671--686",

journal = "Siberian Mathematical Journal",

issn = "0037-4466",

publisher = "Springer Nature",

number = "4",

}

RIS

TY - JOUR

T1 - The Singular Values of Compact Pseudodifferential Operators with Spatially Nonsmooth Symbols

AU - Karol, A. I.

PY - 2020/7

Y1 - 2020/7

N2 - Considering compact pseudodifferential operators with symbolswhose smoothness in $ x $ vanishes on a prescribed set,we obtain some validity conditions for the Weyl spectral asymptotics of singular values.These results are applied to the symbols whose decay order as $ |\xi|\to\infty $is a nonsmooth function of $ x $.

AB - Considering compact pseudodifferential operators with symbolswhose smoothness in $ x $ vanishes on a prescribed set,we obtain some validity conditions for the Weyl spectral asymptotics of singular values.These results are applied to the symbols whose decay order as $ |\xi|\to\infty $is a nonsmooth function of $ x $.

KW - 517.9

KW - nonsmooth symbol

KW - pseudodifferential operator

KW - singular values

KW - Weyl’s asymptotics

UR - http://www.scopus.com/inward/record.url?scp=85088780548&partnerID=8YFLogxK

U2 - 10.1134/S0037446620040096

DO - 10.1134/S0037446620040096

M3 - Article

AN - SCOPUS:85088780548

VL - 61

SP - 671

EP - 686

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 4

ER -

ID: 76693386