## Russian Mathematical Surveys, Volume 61, Issues 4-6 |

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### Contents

Instability zones of periodic 1dimensional Schrodinger and | 663 |

Communications of the Moscow Mathematical Society | 767 |

Newton series the Leibniz rule and functions of finite order | 775 |

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### Common terms and phrases

Abel summation accuracy h Akad algebra arbitrary arithmetic progressions asymptotic boundary bounded coefficients commutative complementary series representations completes the proof consider control package corresponding defined definition denote differential equations differential games differential operators Dirac operators Dixmier trace Dokl eigenvalues elements English transl estimate extremal shift finite follows group 0(n Hecke operators Heisenberg group hence Hilbert space Hill-Schrodinger implies inequality infinite-dimensional informational set initial integral invariant inverse irreducible Kryazhimskii Lemma linear Mathematics Mathematics Subject Classification matrix method Model Moscow motion Nauk SSSR obtained Osipov package guidance pair paper parameter perturbation polynomials positional differential games positional strategy problem of positional progressions of length Proposition proved regularized traces respect Russian Sadovnichii Schrodinger self-adjoint sequence set E(t soluble special representations spectral squared norm subgroup submultiplicative weight subspace theory of positional trace formulae trace-class unitary representations vector zeta function