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Fix , and let be a matrix of semialgebraic functions on or on a compact subset . Given , we consider the following system of equations:
In this paper, we give algorithms for computing a finite list of linear partial differential operators such that admits a solution if and only if is annihilated by the linear partial differential operators.
Cite this article
Charles Fefferman, Garving K. Luli, Solutions to a system of equations for functions. Rev. Mat. Iberoam. 37 (2021), no. 3, pp. 911–963DOI 10.4171/RMI/1217