Explicit solutions of division problems for matrices of polynomials

Details Explicit solutions of division problems for matrices of polynomials Explicit solutions of division problems for matrices of polynomials

2008-06-10

arxiv.org/abs/0806.1665v2

Mathematics

Complex Variables

14 pages, corrected typographical errors

Scientific paper

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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