Choosing roots of polynomials smoothly

Details Choosing roots of polynomials smoothly Choosing roots of polynomials smoothly

1998-01-07

arxiv.org/abs/math/9801026v1

Israel J. Math 105 (1998), p. 203-233.

Mathematics

Classical Analysis and ODEs

to appear Israel J. Math

Scientific paper

We clarify the question whether for a smooth curve of polynomials one can
choose the roots smoothly and related questions. Applications to perturbation
theory of operators are given.

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