Table of contents

Volume 34

Number 3, June 1979

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COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY

 

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CONTENTS § 1. Introduction § 2. Reduction theorems § 3. The abstract version of Problems A and B with cost function satisfying the triangle inequality § 4. Proofs of the main theorems. Discussion of Theorem 1.1 and its generalization to non-metrizable compact spaces § 5. The problem of mass transfer and a mass statement of the duality problem § 6. Extension theorems and one problem on continuous selectors References

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CONTENTS § 0. Introduction Chapter I. Selberg theory on a compact Riemann surface § 1. The Voronoi-Hardy formula § 2. Elementary spectral theory of automorphic functions § 3. The Selberg trace formula § 4. The Selberg zeta-function § 5. Refinement of the spectral theory of automorphic functions § 6. The problem of moduli Chapter 2. Selberg theory on a fundamental domain of a Fuchsian group of the first kind § 7. The Fuchsian group of the first kind and its fundamental domain § 8. Spectral theory of automorphic functions (general case). The continuous spectrum and Eisenstein-Maass series § 9. The Selberg trace formula (general case) § 10. The Selberg zeta-function (general case) § 11. The discrete spectrum § 12. The Selberg zeta-function of the Dirichlet problem. A refinement of Roelcke's problem References

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CONTENTS Introduction § 1. 1-reducibility § 2. Indecomposable and minimal m-degrees § 3. The upper semilattice of r.e. m-degrees § 4. The upper semilattice of r.e. tt-degrees § 5. Relations between reducibilities References