Corollaries and remarks Sample Clauses

Corollaries and remarks. Remark 5.3.1. As mentioned in the beginning of the section, the proofs rely on the existence of representations of the form (5.1.2) for certain polynomials. In addition, we need continuity of such a representation with respect to the parameter µ to establish Theorem 1.5.3. We are also interested in the possibility of explicitly computing the constants C and δ0, which may be important in applications. It is clearly possible if we have explicit formulae for the polynomials in (5.1.2). We show below that this can be done in Theorems 1.5.2 and 1.5.3 (see Remark 5.6.1).
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