格尔丁双曲多项式的根

arXiv: Classical Analysis and ODEs Pub Date : 2020-12-02 DOI:10.1090/PROC/15634

A. Rainer

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引用次数: 0

摘要

探讨了格丁双曲多项式和实稳定多项式的根的正则性。作为应用，我们得到了厄米矩阵的特征值和任意矩阵的奇异值的新的Sobolev型正则性结果。这些结果在所有Sobolev空间中是最优的。

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Roots of Gårding hyperbolic polynomials

We explore the regularity of the roots of Garding hyperbolic polynomials and real stable polynomials. As an application we obtain new regularity results of Sobolev type for the eigenvalues of Hermitian matrices and for the singular values of arbitrary matrices. These results are optimal among all Sobolev spaces.

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arXiv: Classical Analysis and ODEs

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