Eigenvalue decay of positive integral operators on compact two-point homogeneous spaces
We generalize and extend results on decay rates of singular values or eigenvalues of positive integral operators from unit spheres to two-point homogeneous spaces. The rates we present depend upon the order of the Laplace-Beltrami operator used to define the smoothness conditions on generating kerne...
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| creator | Castro, Mario H |
| description | We generalize and extend results on decay rates of singular values or
eigenvalues of positive integral operators from unit spheres to two-point
homogeneous spaces. The rates we present depend upon the order of the
Laplace-Beltrami operator used to define the smoothness conditions on
generating kernels, the Schatten class containing the integral operator
generated by the derivative of the generating kernel and the dimension of the
space. |
| doi_str_mv | 10.48550/arxiv.1307.3916 |
| format | Article |
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eigenvalues of positive integral operators from unit spheres to two-point
homogeneous spaces. The rates we present depend upon the order of the
Laplace-Beltrami operator used to define the smoothness conditions on
generating kernels, the Schatten class containing the integral operator
generated by the derivative of the generating kernel and the dimension of the
space.</description><identifier>DOI: 10.48550/arxiv.1307.3916</identifier><language>eng</language><subject>Mathematics - Functional Analysis</subject><creationdate>2013-07</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1307.3916$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1307.3916$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Castro, Mario H</creatorcontrib><title>Eigenvalue decay of positive integral operators on compact two-point homogeneous spaces</title><description>We generalize and extend results on decay rates of singular values or
eigenvalues of positive integral operators from unit spheres to two-point
homogeneous spaces. The rates we present depend upon the order of the
Laplace-Beltrami operator used to define the smoothness conditions on
generating kernels, the Schatten class containing the integral operator
generated by the derivative of the generating kernel and the dimension of the
space.</description><subject>Mathematics - Functional Analysis</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj8tqwzAURLXpoqTdd1X0A3b1sGRrWUL6gEA3gSzNtXWdCmxfIzlu8_d12q4GZoYDh7EHKfKiMkY8QfwOSy61KHPtpL1lx1044bhAf0busYULp45PlMIcFuRhnPEUoec0YYSZYuI08paGCdqZz1-UTbR--CcNtGKQzomndcN0x2466BPe_-eGHV52h-1btv94fd8-7zOwxmZeOzAVOosFVEpaLzyUTdspLW1rvGqaEl2hVOErWxpltQLvO-Hk2onOWb1hj3_YX7F6imGAeKmvgvVVUP8A6WhMgw</recordid><startdate>20130715</startdate><enddate>20130715</enddate><creator>Castro, Mario H</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20130715</creationdate><title>Eigenvalue decay of positive integral operators on compact two-point homogeneous spaces</title><author>Castro, Mario H</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a656-d39a58e96e4a8216d0da7bcf2316c5d2bb7e94224d86752632addf0914220f963</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2013</creationdate><topic>Mathematics - Functional Analysis</topic><toplevel>online_resources</toplevel><creatorcontrib>Castro, Mario H</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Castro, Mario H</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Eigenvalue decay of positive integral operators on compact two-point homogeneous spaces</atitle><date>2013-07-15</date><risdate>2013</risdate><abstract>We generalize and extend results on decay rates of singular values or
eigenvalues of positive integral operators from unit spheres to two-point
homogeneous spaces. The rates we present depend upon the order of the
Laplace-Beltrami operator used to define the smoothness conditions on
generating kernels, the Schatten class containing the integral operator
generated by the derivative of the generating kernel and the dimension of the
space.</abstract><doi>10.48550/arxiv.1307.3916</doi><oa>free_for_read</oa></addata></record> |
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| source | arXiv.org |
| subjects | Mathematics - Functional Analysis |
| title | Eigenvalue decay of positive integral operators on compact two-point homogeneous spaces |
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