Email this article A Criterion for the Existence of Nontrivial Solutions to the Homogeneous Schwarz Problem
- Authors: Nikolaev V.G.1
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Affiliations:
- Yaroslav-the-Wise Novgorod State University
- Issue: Vol 219, No 2 (2016)
- Pages: 220-225
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/238523
- DOI: https://doi.org/10.1007/s10958-016-3099-0
- ID: 238523
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Abstract
We consider the homogeneous Schwarz problem for Douglis analytic functions with twodimensional matrices possessing multiple eigenvalues. We find a necessary and sufficient condition for the existence of a nontrivial solution representable as a quadratic vectorvalued form.
About the authors
V. G. Nikolaev
Yaroslav-the-Wise Novgorod State University
Author for correspondence.
Email: vg14@inbox.ru
Russian Federation, 41, Bol’shaya Sankt-Peterburgskaya St., Veliky, Novgorod, 173003
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