Katz's middle convolution and Yokoyama's extending operation
We give a concrete relation between Katz's middle convolution and Yokoyama's extension and show the equivalence of both algorithms using these operations for the reduction of Fuchsian systems on the Riemann sphere.
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| Format: | Article |
| Language: | English |
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AGH Univeristy of Science and Technology Press
2015-01-01
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| Series: | Opuscula Mathematica |
| Subjects: | |
| Online Access: | http://www.opuscula.agh.edu.pl/vol35/5/art/opuscula_math_3536.pdf |
| _version_ | 1818239825283645440 |
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| author | Toshio Oshima |
| author_facet | Toshio Oshima |
| author_sort | Toshio Oshima |
| collection | DOAJ |
| description | We give a concrete relation between Katz's middle convolution and Yokoyama's extension and show the equivalence of both algorithms using these operations for the reduction of Fuchsian systems on the Riemann sphere. |
| first_indexed | 2024-12-12T13:03:42Z |
| format | Article |
| id | doaj.art-faf4aefa8f7f4fe1a8cd155b21e3305b |
| institution | Directory Open Access Journal |
| issn | 1232-9274 |
| language | English |
| last_indexed | 2024-12-12T13:03:42Z |
| publishDate | 2015-01-01 |
| publisher | AGH Univeristy of Science and Technology Press |
| record_format | Article |
| series | Opuscula Mathematica |
| spelling | doaj.art-faf4aefa8f7f4fe1a8cd155b21e3305b2022-12-22T00:23:44ZengAGH Univeristy of Science and Technology PressOpuscula Mathematica1232-92742015-01-01355665688http://dx.doi.org/10.7494/OpMath.2015.35.5.6653536Katz's middle convolution and Yokoyama's extending operationToshio Oshima0Josai University, Faculty of Science, 2-3-20, Hirakawacho, Chiyodaku, Tokyo 102-0093, JapanWe give a concrete relation between Katz's middle convolution and Yokoyama's extension and show the equivalence of both algorithms using these operations for the reduction of Fuchsian systems on the Riemann sphere.http://www.opuscula.agh.edu.pl/vol35/5/art/opuscula_math_3536.pdfFuchsian systemsmiddle convolution |
| spellingShingle | Toshio Oshima Katz's middle convolution and Yokoyama's extending operation Opuscula Mathematica Fuchsian systems middle convolution |
| title | Katz's middle convolution and Yokoyama's extending operation |
| title_full | Katz's middle convolution and Yokoyama's extending operation |
| title_fullStr | Katz's middle convolution and Yokoyama's extending operation |
| title_full_unstemmed | Katz's middle convolution and Yokoyama's extending operation |
| title_short | Katz's middle convolution and Yokoyama's extending operation |
| title_sort | katz s middle convolution and yokoyama s extending operation |
| topic | Fuchsian systems middle convolution |
| url | http://www.opuscula.agh.edu.pl/vol35/5/art/opuscula_math_3536.pdf |
| work_keys_str_mv | AT toshiooshima katzsmiddleconvolutionandyokoyamasextendingoperation |