ON INTEGRAL OPERATORS WITH FIBER SINGULAR TYPE HOMOGENEOUS KERNELS IN THE SPACE LP(R2).

ON INTEGRAL OPERATORS WITH FIBER SINGULAR TYPE HOMOGENEOUS KERNELS IN THE SPACE LP(R2).

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A new class of integral operators with fiber singular type homogeneous kernels in the space Lp(R2) is introduced. This new class includes the class of operators with SO(2)-invariant homogeneous kernels. For Banach algebra of pair operators with fiber singular type homogeneous kernels the symbol calc...

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Main Authors: V.М. DEUNDYAK, H.A. STEPANUCHENKO
Format: Article
Language:Russian
Published: Don State Technical University 2007-06-01
Series:Advanced Engineering Research
Subjects:
интегральные операторы
однородные ядра
символическое исчисление
фредгольмовость
Online Access:https://www.vestnik-donstu.ru/jour/article/view/1285
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spelling doaj-2ebabe51802142a49e15d23e60e0bb102021-10-02T16:21:04ZrusDon State Technical UniversityAdvanced Engineering Research2687-16532007-06-01721491601270ON INTEGRAL OPERATORS WITH FIBER SINGULAR TYPE HOMOGENEOUS KERNELS IN THE SPACE LP(R2).V.М. DEUNDYAK0H.A. STEPANUCHENKO1Don State Technical University.Don State Technical University.A new class of integral operators with fiber singular type homogeneous kernels in the space Lp(R2) is introduced. This new class includes the class of operators with SO(2)-invariant homogeneous kernels. For Banach algebra of pair operators with fiber singular type homogeneous kernels the symbol calculus is constructed and the criterion of Fredholmness is obtained.https://www.vestnik-donstu.ru/jour/article/view/1285интегральные операторыоднородные ядрасимволическое исчислениефредгольмовость
collection DOAJ
language Russian
format Article
sources DOAJ
author V.М. DEUNDYAK
H.A. STEPANUCHENKO
spellingShingle V.М. DEUNDYAK
H.A. STEPANUCHENKO
ON INTEGRAL OPERATORS WITH FIBER SINGULAR TYPE HOMOGENEOUS KERNELS IN THE SPACE LP(R2).
Advanced Engineering Research
интегральные операторы
однородные ядра
символическое исчисление
фредгольмовость
author_facet V.М. DEUNDYAK
H.A. STEPANUCHENKO
author_sort V.М. DEUNDYAK
title ON INTEGRAL OPERATORS WITH FIBER SINGULAR TYPE HOMOGENEOUS KERNELS IN THE SPACE LP(R2).
title_short ON INTEGRAL OPERATORS WITH FIBER SINGULAR TYPE HOMOGENEOUS KERNELS IN THE SPACE LP(R2).
title_full ON INTEGRAL OPERATORS WITH FIBER SINGULAR TYPE HOMOGENEOUS KERNELS IN THE SPACE LP(R2).
title_fullStr ON INTEGRAL OPERATORS WITH FIBER SINGULAR TYPE HOMOGENEOUS KERNELS IN THE SPACE LP(R2).
title_full_unstemmed ON INTEGRAL OPERATORS WITH FIBER SINGULAR TYPE HOMOGENEOUS KERNELS IN THE SPACE LP(R2).
title_sort on integral operators with fiber singular type homogeneous kernels in the space lp(r2).
publisher Don State Technical University
series Advanced Engineering Research
issn 2687-1653
publishDate 2007-06-01
description A new class of integral operators with fiber singular type homogeneous kernels in the space Lp(R2) is introduced. This new class includes the class of operators with SO(2)-invariant homogeneous kernels. For Banach algebra of pair operators with fiber singular type homogeneous kernels the symbol calculus is constructed and the criterion of Fredholmness is obtained.
topic интегральные операторы
однородные ядра
символическое исчисление
фредгольмовость
url https://www.vestnik-donstu.ru/jour/article/view/1285
work_keys_str_mv AT vmdeundyak onintegraloperatorswithfibersingulartypehomogeneouskernelsinthespacelpr2
AT hastepanuchenko onintegraloperatorswithfibersingulartypehomogeneouskernelsinthespacelpr2
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