## Mathematics of the USSR.: Sbornik, Volume 60 |

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### Contents

Ba3ajiHM B B Htnapta C n O oaccHfecnoii pa3peujHM0CTH MHoro | 3 |

C IlpH6HeHHe n naBaiomeH cHcreMofi 3KcnoHeHT | 20 |

KaMUHHH B JI O npeaebHOM nepexoae b KBa3H nHHeHHbix 3jjmmwt | 45 |

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algebra analogous analytic arbitrary assertion assume asymptotic boundary bounded chain of root coefficients compact set compact space complex cone connected consider const constant constructed convergence convex COROLLARY corresponding defined definition denote depend derivatives differential equations Dirichlet Dirichlet functional domain eigenfunctions eigenvalue elements English transl entire function equal estimate exists expansion finite fixed follows formula Fourier group G harmonic maps Hence holds holomorphic holomorphic function identity inequality integral invariant irreducible isomorphism Lemma linear linearly independent Liouville's equation Math Mathematics Subject Classification matrix metric Nauk neighborhood nonzero normal subgroup obtain operator operator-valued function L(X parabolic polynomial positive braid problem proof of Theorem properties Proposition representation respect Riemann surfaces Riemannian manifold root vectors satisfies condition Schottky Schottky group sequence singularities smooth solution solvability subgroup subset Suppose Theorem theory trajectory transform uniformly variables vector-valued function zero