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arxiv: 0806.1665 · v2 · submitted 2008-06-10 · 🧮 math.CV

Explicit solutions of division problems for matrices of polynomials

classification 🧮 math.CV
keywords solutionsdegreedivisionestimatesmatricespolynomialsproblemsrepresentations
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We present integral representations of solutions to division problems involving matrices of polynomials in several complex variables. We also find estimates of the polynomial degree of the solutions by means of careful degree estimates of the so-called Hefer forms which are components of the representations.

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