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http://cmuir.cmu.ac.th/jspui/handle/6653943832/76851| Title: | Definable continuous solutions of linear equations |
| Authors: | Saronsad Sokantika Athipat Thamrongthanyalak |
| Authors: | Saronsad Sokantika Athipat Thamrongthanyalak |
| Keywords: | Mathematics |
| Issue Date: | 1-May-2021 |
| Abstract: | In this paper, we study a generalization of a question, raised by C. Fefferman and J. Kollár, on the existence of solutions of linear functional equations. Suppose that R is a definably complete expansion of a real closed field.RI C; /. Let f; g1;:::; gkW Rn ! R be continuous functions that are definable in R. We prove that if there exist continuous functions y1;:::; ykW Rn ! R such that f D g1y1 C C gkyk, then there exist continuous functions y1;:::; yk such that y1;:::; yk are definable in R and f D g1y1 C C gkyk. |
| URI: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85108693377&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/76851 |
| ISSN: | 19390726 00294527 |
| Appears in Collections: | CMUL: Journal Articles |
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