A Criterion for the Existence of Nontrivial Solutions to the Homogeneous Schwarz Problem


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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.

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V. Nikolaev

Yaroslav-the-Wise Novgorod State University

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俄罗斯联邦, 41, Bol’shaya Sankt-Peterburgskaya St., Veliky, Novgorod, 173003

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