Table of contents

Volume 44

Number 5, October 1989

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COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY

MATHEMATICAL EVENTS IN THE USSR

11

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CONTENTS Introduction § 1. The multiplicative ergodic theorem § 2. Quasi-projective transformations § 3. Contraction property of a semigroup § 4. Invariant measure and lemmas on convergence § 5. Fundamental theorem on Lyapunov indices § 6. Generalization of the fundamental theorem and the multiplicity of indices. Kotani's result § 7. Example: Lyapunov indices of a difference matrix Schrödinger equation Appendix References

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CONTENTS Introduction § 1. Rearrangements § 2. Differential properties of rearrangements and the Pólya-Szegö law § 3. Moduli of continuity of rearrangements § 4. Embedding of classes § 5. On embedding of Sobolev spaces § 6. Addenda References

119

CONTENTS § 1. The basic problem and known methods for solving it § 2. Solution using orthogonal polynomials § 3. The truncated inverse convolution method § 4. New component minimization conditions § 5. Truncated convolution without the invertibility condition § 6. Minimizing the autocorrelation vector § 7. The generalized consistent filtration method § 8. Appendices and remarks References

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CONTENTS Introduction § 1. n-homotopy § 2. n-shape § 3. n-shape and UVn-maps § 4. n-cohomology groups § 5. n-homology and n-homotopy groups References

175

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