Please use this identifier to cite or link to this item:
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.
ISSN: 19390726
Appears in Collections:CMUL: Journal Articles

Files in This Item:
There are no files associated with this item.

Items in CMUIR are protected by copyright, with all rights reserved, unless otherwise indicated.