C-ALGEBRA GENERATED BY INTEGRAL OPERATORS WITH HOMOGENEOUS KERNELS AND OSCILLATING COEFFICIENTS OF VARIOUS TYPES
We consider the C*-algebra, generated by multidimensional integral operators with homogeneous degree ( - n ) kernels and by the operators of multiplication by radial weak oscillating functions and by oscillating functions of the form | x | i α . For this algebra, an operator symbolic calculus is con...
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| Veröffentlicht in: | Journal of mathematical sciences (New York, N.Y.) N.Y.), 2022, Vol.266 (1), p.66-76 |
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| container_title | Journal of mathematical sciences (New York, N.Y.) |
| container_volume | 266 |
| creator | Avsyankin, Oleg G. Ashikhmin, Sergey S. |
| description | We consider the C*-algebra, generated by multidimensional integral operators with homogeneous degree
(
-
n
)
kernels and by the operators of multiplication by radial weak oscillating functions and by oscillating functions of the form
|
x
|
i
α
. For this algebra, an operator symbolic calculus is constructed. In terms of this calculus, necessary and sufficient conditions for the Fredholm property of an operator are obtained. |
| doi_str_mv | 10.1007/s10958-022-05873-1 |
| format | Article |
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(
-
n
)
kernels and by the operators of multiplication by radial weak oscillating functions and by oscillating functions of the form
|
x
|
i
α
. For this algebra, an operator symbolic calculus is constructed. In terms of this calculus, necessary and sufficient conditions for the Fredholm property of an operator are obtained.</description><identifier>ISSN: 1072-3374</identifier><identifier>EISSN: 1573-8795</identifier><identifier>DOI: 10.1007/s10958-022-05873-1</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>Algebra ; Kernels ; Mathematical analysis ; Mathematics ; Mathematics and Statistics ; Multiplication ; Operators (mathematics)</subject><ispartof>Journal of mathematical sciences (New York, N.Y.), 2022, Vol.266 (1), p.66-76</ispartof><rights>Springer Science+Business Media, LLC, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c2081-81b378760b854fbb4392aec1191ebe3793de8d639af6bccffc1f9f77c66fc2483</citedby><cites>FETCH-LOGICAL-c2081-81b378760b854fbb4392aec1191ebe3793de8d639af6bccffc1f9f77c66fc2483</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s10958-022-05873-1$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s10958-022-05873-1$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27923,27924,41487,42556,51318</link.rule.ids></links><search><creatorcontrib>Avsyankin, Oleg G.</creatorcontrib><creatorcontrib>Ashikhmin, Sergey S.</creatorcontrib><title>C-ALGEBRA GENERATED BY INTEGRAL OPERATORS WITH HOMOGENEOUS KERNELS AND OSCILLATING COEFFICIENTS OF VARIOUS TYPES</title><title>Journal of mathematical sciences (New York, N.Y.)</title><addtitle>J Math Sci</addtitle><description>We consider the C*-algebra, generated by multidimensional integral operators with homogeneous degree
(
-
n
)
kernels and by the operators of multiplication by radial weak oscillating functions and by oscillating functions of the form
|
x
|
i
α
. For this algebra, an operator symbolic calculus is constructed. In terms of this calculus, necessary and sufficient conditions for the Fredholm property of an operator are obtained.</description><subject>Algebra</subject><subject>Kernels</subject><subject>Mathematical analysis</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Multiplication</subject><subject>Operators (mathematics)</subject><issn>1072-3374</issn><issn>1573-8795</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNp9kEFPgzAYhonRxDn9A56aeK62FGg5dqywRqQLMM1Ozeha46Jugjv47wUx8ebpe_Pleb8veTzvGqNbjBC96zCKQwaR70MUMkogPvEmOOwDo3F42mdEfUgIDc69i67bob4UMTLxDgnkeSZmJQeZKETJazEHszWQRS2ykudALYelKivwJOsFWKgHNYBqVYF7URYirwAv5kBVicxzXssiA4kSaSoTKYq6AioFj7yUA1-vl6K69M7c5rWzV79z6q1SUScLmKtMJjyHxkcMQ4YbQhmNUMPCwDVNQGJ_Yw3GMbaNJTQmW8u2EYk3LmqMcc5gFztKTRQ54weMTL2b8e6h3X8cbfepd_tj-96_1D4NGAvDAKOe8kfKtPuua63Th_blbdN-aYz0YFaPZnVvVv-Y1bgvkbHU9fD7s23_Tv_T-gasgnJC</recordid><startdate>2022</startdate><enddate>2022</enddate><creator>Avsyankin, Oleg G.</creator><creator>Ashikhmin, Sergey S.</creator><general>Springer International Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>2022</creationdate><title>C-ALGEBRA GENERATED BY INTEGRAL OPERATORS WITH HOMOGENEOUS KERNELS AND OSCILLATING COEFFICIENTS OF VARIOUS TYPES</title><author>Avsyankin, Oleg G. ; Ashikhmin, Sergey S.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c2081-81b378760b854fbb4392aec1191ebe3793de8d639af6bccffc1f9f77c66fc2483</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Algebra</topic><topic>Kernels</topic><topic>Mathematical analysis</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Multiplication</topic><topic>Operators (mathematics)</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Avsyankin, Oleg G.</creatorcontrib><creatorcontrib>Ashikhmin, Sergey S.</creatorcontrib><collection>CrossRef</collection><jtitle>Journal of mathematical sciences (New York, N.Y.)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Avsyankin, Oleg G.</au><au>Ashikhmin, Sergey S.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>C-ALGEBRA GENERATED BY INTEGRAL OPERATORS WITH HOMOGENEOUS KERNELS AND OSCILLATING COEFFICIENTS OF VARIOUS TYPES</atitle><jtitle>Journal of mathematical sciences (New York, N.Y.)</jtitle><stitle>J Math Sci</stitle><date>2022</date><risdate>2022</risdate><volume>266</volume><issue>1</issue><spage>66</spage><epage>76</epage><pages>66-76</pages><issn>1072-3374</issn><eissn>1573-8795</eissn><abstract>We consider the C*-algebra, generated by multidimensional integral operators with homogeneous degree
(
-
n
)
kernels and by the operators of multiplication by radial weak oscillating functions and by oscillating functions of the form
|
x
|
i
α
. For this algebra, an operator symbolic calculus is constructed. In terms of this calculus, necessary and sufficient conditions for the Fredholm property of an operator are obtained.</abstract><cop>Cham</cop><pub>Springer International Publishing</pub><doi>10.1007/s10958-022-05873-1</doi><tpages>11</tpages><oa>free_for_read</oa></addata></record> |
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| ispartof | Journal of mathematical sciences (New York, N.Y.), 2022, Vol.266 (1), p.66-76 |
| issn | 1072-3374 1573-8795 |
| language | eng |
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| source | SpringerLink Journals - AutoHoldings |
| subjects | Algebra Kernels Mathematical analysis Mathematics Mathematics and Statistics Multiplication Operators (mathematics) |
| title | C-ALGEBRA GENERATED BY INTEGRAL OPERATORS WITH HOMOGENEOUS KERNELS AND OSCILLATING COEFFICIENTS OF VARIOUS TYPES |
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