## Russian Mathematical Surveys, Volume 34, Issues 1-4 |

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### Contents

S K Vodopyanov v M Goldshtein and Yu G Reshetnyak | 20 |

Integral representations and differential properties of functions | 26 |

Change of variable in an integral | 36 |

Copyright | |

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### Common terms and phrases

Akad analytic arbitrary arithmetic assertion automorphic Banach Banach spaces boundary bounded coefficients compact space computation condition conservation laws consider construct contains continuous convergence convex operator COROLLARY corresponding countable decomposition defined definition denote derivatives differential equations Dirichlet Dokl domain double coset eigenvalues elements elliptic embedding equivalent existentially closed extension finite follows Fuchsian group function Hecke operators Hecke ring Hence homeomorphism inequality invariant inverse isomorphic K-space lattice Lemma linear lower semicontinuous m-degree manifold mathematical matrix metric modular forms Moscow natural number Nauk SSSR NCp-set norm obtain polynomial problem proof properties Proposition proved quasi-conformal quasi-isometric recursive REMARK Russian Math satisfies Selberg trace formula Selberg zeta-function semigroup sequence Siegel modular forms signature singular Sobolev solution spectral subdifferential sublinear operator subset subspace Suppose Theorem Theorem 2.1 theory theta-series topology Uspekhi Mat variables vector space XP(G zero