Convolution Equations on a Large Finite Interval with Symbols Having Power-Order Zeros or Poles

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Convolution Equations on a Large Finite Interval with Symbols Having Power-Order Zeros or Poles. / Budylin, A. M.; Sokolov, S. V.

в: Journal of Mathematical Sciences (United States), Том 226, № 6, 01.11.2017, стр. 711-719.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

BibTeX

@article{ec2d34407daf4ff29e74ebc9d986b5f7,

title = "Convolution Equations on a Large Finite Interval with Symbols Having Power-Order Zeros or Poles",

abstract = "A class of convolution equations on a large expanding interval is considered. The equations are characterized by the fact that the symbol of the corresponding operator has zeros or poles of a noninteger power order in the dual variable, which leads to long-range influence. A power-order complete asymptotic expansion is found for the kernel of the inverse operator as the length of the interval tends to infinity.",

author = "Budylin, {A. M.} and Sokolov, {S. V.}",

note = "Publisher Copyright: {\textcopyright} 2017, Springer Science+Business Media, LLC.",

year = "2017",

month = nov,

day = "1",

doi = "10.1007/s10958-017-3560-8",

language = "English",

volume = "226",

pages = "711--719",

journal = "Journal of Mathematical Sciences",

issn = "1072-3374",

publisher = "Springer Nature",

number = "6",

}

RIS

TY - JOUR

T1 - Convolution Equations on a Large Finite Interval with Symbols Having Power-Order Zeros or Poles

AU - Budylin, A. M.

AU - Sokolov, S. V.

PY - 2017/11/1

Y1 - 2017/11/1

N2 - A class of convolution equations on a large expanding interval is considered. The equations are characterized by the fact that the symbol of the corresponding operator has zeros or poles of a noninteger power order in the dual variable, which leads to long-range influence. A power-order complete asymptotic expansion is found for the kernel of the inverse operator as the length of the interval tends to infinity.

AB - A class of convolution equations on a large expanding interval is considered. The equations are characterized by the fact that the symbol of the corresponding operator has zeros or poles of a noninteger power order in the dual variable, which leads to long-range influence. A power-order complete asymptotic expansion is found for the kernel of the inverse operator as the length of the interval tends to infinity.

UR - http://www.scopus.com/inward/record.url?scp=85031507104&partnerID=8YFLogxK

U2 - 10.1007/s10958-017-3560-8

DO - 10.1007/s10958-017-3560-8

M3 - Article

AN - SCOPUS:85031507104

VL - 226

SP - 711

EP - 719

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 6

ER -

ID: 9227100