Table of contents

Volume 52

Number 6, December 1997

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COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY

1283
A problem on the asymptotics of normalized eigenfunctions of the Sturm-Liouville operator on a finite interval

View article, A problem on the asymptotics of normalized eigenfunctions of the Sturm-Liouville operator on a finite interval PDF, A problem on the asymptotics of normalized eigenfunctions of the Sturm-Liouville operator on a finite interval
https://doi.org/10.1070/RM1997v052n06ABEH002158
1285
On the geometry of conformally semi-flat generalized Hermitian surfaces

View article, On the geometry of conformally semi-flat generalized Hermitian surfaces PDF, On the geometry of conformally semi-flat generalized Hermitian surfaces
https://doi.org/10.1070/RM1997v052n06ABEH002159
1287
An addition formula for the first semi-integral Pontryagin class in complex cobordism

and

View article, An addition formula for the first semi-integral Pontryagin class in complex cobordism PDF, An addition formula for the first semi-integral Pontryagin class in complex cobordism
https://doi.org/10.1070/RM1997v052n06ABEH002160
1289
The duality of the generalized Calogero and Ruijsenaars problems

View article, The duality of the generalized Calogero and Ruijsenaars problems PDF, The duality of the generalized Calogero and Ruijsenaars problems
https://doi.org/10.1070/RM1997v052n06ABEH002161
1292
The embedding of graphs in hypercubes and cubic lattices

and

View article, The embedding of graphs in hypercubes and cubic lattices PDF, The embedding of graphs in hypercubes and cubic lattices
https://doi.org/10.1070/RM1997v052n06ABEH002162
1294
Laplace transforms and simplicial connections

and

View article, Laplace transforms and simplicial connections PDF, Laplace transforms and simplicial connections
https://doi.org/10.1070/RM1997v052n06ABEH002163
1296
On a problem of O.A. Oleinik

and

View article, On a problem of O.A. Oleinik PDF, On a problem of O.A. Oleinik
https://doi.org/10.1070/RM1997v052n06ABEH002165
1298
A new proof of theorems on a universal sequence and extremal properties of discrete measures

and

View article, A new proof of theorems on a universal sequence and extremal properties of discrete measures PDF, A new proof of theorems on a universal sequence and extremal properties of discrete measures

The article proposes a new method of proving theorems from [1], [2], based on the principle of duality.

https://doi.org/10.1070/RM1997v052n06ABEH002167
1300
On the initial jump of the free boundary in a boundary-value problem for the semilinear heat conduction equation with absorption

View article, On the initial jump of the free boundary in a boundary-value problem for the semilinear heat conduction equation with absorption PDF, On the initial jump of the free boundary in a boundary-value problem for the semilinear heat conduction equation with absorption
https://doi.org/10.1070/RM1997v052n06ABEH002168
1302
On finite continued fractions

View article, On finite continued fractions PDF, On finite continued fractions
https://doi.org/10.1070/RM1997v052n06ABEH002169
1305
On the reduction of Yang-Mills instantons to Nahm's equations

View article, On the reduction of Yang-Mills instantons to Nahm's equations PDF, On the reduction of Yang-Mills instantons to Nahm's equations
https://doi.org/10.1070/RM1997v052n06ABEH002170
1307
On analogues of Finn's maximum principle for solutions of parabolic equations

View article, On analogues of Finn's maximum principle for solutions of parabolic equations PDF, On analogues of Finn's maximum principle for solutions of parabolic equations
https://doi.org/10.1070/RM1997v052n06ABEH002171
1310
On compatible Poisson structures of hydrodynamic type

View article, On compatible Poisson structures of hydrodynamic type PDF, On compatible Poisson structures of hydrodynamic type
https://doi.org/10.1070/RM1997v052n06ABEH002173
1312
On a theorem of M. Hall

View article, On a theorem of M. Hall PDF, On a theorem of M. Hall
https://doi.org/10.1070/RM1997v052n06ABEH002175
1314
A theorem of Harnack type for a family of complexly isomorphic real algebraic curves

View article, A theorem of Harnack type for a family of complexly isomorphic real algebraic curves PDF, A theorem of Harnack type for a family of complexly isomorphic real algebraic curves
https://doi.org/10.1070/RM1997v052n06ABEH002176
1316
On the classification of elliptic fibrations with a small number of singular fibres over a base of genus 1

View article, On the classification of elliptic fibrations with a small number of singular fibres over a base of genus 1 PDF, On the classification of elliptic fibrations with a small number of singular fibres over a base of genus 1
https://doi.org/10.1070/RM1997v052n06ABEH002178
1318
The first initial boundary-value problem for hyperbolic systems in non-smooth domains

View article, The first initial boundary-value problem for hyperbolic systems in non-smooth domains PDF, The first initial boundary-value problem for hyperbolic systems in non-smooth domains
https://doi.org/10.1070/RM1997v052n06ABEH002179
1320
The Schrödinger operator on graphs and topology

View article, The Schrödinger operator on graphs and topology PDF, The Schrödinger operator on graphs and topology
https://doi.org/10.1070/RM1997v052n06ABEH002181
1322
On averaging of elliptic problems in perforated domains with non-periodic structure

and

View article, On averaging of elliptic problems in perforated domains with non-periodic structure PDF, On averaging of elliptic problems in perforated domains with non-periodic structure
https://doi.org/10.1070/RM1997v052n06ABEH002182
1324
On the dimension in Borsuk's problem

View article, On the dimension in Borsuk's problem PDF, On the dimension in Borsuk's problem
https://doi.org/10.1070/RM1997v052n06ABEH002184
1326
On the deficiency index of second-order matrix differential operators

View article, On the deficiency index of second-order matrix differential operators PDF, On the deficiency index of second-order matrix differential operators
https://doi.org/10.1070/RM1997v052n06ABEH002186
1328
On some arithmetical properties of orbit codes in a space of matrices

and

View article, On some arithmetical properties of orbit codes in a space of matrices PDF, On some arithmetical properties of orbit codes in a space of matrices
https://doi.org/10.1070/RM1997v052n06ABEH002187
1330
The global Weierstrass representation and its spectrum

View article, The global Weierstrass representation and its spectrum PDF, The global Weierstrass representation and its spectrum
https://doi.org/10.1070/RM1997v052n06ABEH002189
1333
On the distribution of eigenvectors of Toeplitz matrices with weakened requirements on the generating function

and

View article, On the distribution of eigenvectors of Toeplitz matrices with weakened requirements on the generating function PDF, On the distribution of eigenvectors of Toeplitz matrices with weakened requirements on the generating function
https://doi.org/10.1070/RM1997v052n06ABEH002190

MATHEMATICAL EVENTS

1335
Ernest Borisovich Vinberg (on his 60th birthday)

, , , and

View article, Ernest Borisovich Vinberg (on his 60th birthday) PDF, Ernest Borisovich Vinberg (on his 60th birthday)
https://doi.org/10.1070/RM1997v052n06ABEH002192
1345
Valentin Evgen'evich Voskresenskii (on his 70th birthday)

, , , , , and

View article, Valentin Evgen'evich Voskresenskii (on his 70th birthday) PDF, Valentin Evgen'evich Voskresenskii (on his 70th birthday)
https://doi.org/10.1070/RM1997v052n06ABEH002195
1349
Selim Grigor'evich Krein (on his 80th birthday)

, , , , , , and

View article, Selim Grigor'evich Krein (on his 80th birthday) PDF, Selim Grigor'evich Krein (on his 80th birthday)
https://doi.org/10.1070/RM1997v052n06ABEH002198
1351
Evgenii Yakovlevich Khruslov (on his 60th birthday)

, , , and

View article, Evgenii Yakovlevich Khruslov (on his 60th birthday) PDF, Evgenii Yakovlevich Khruslov (on his 60th birthday)
https://doi.org/10.1070/RM1997v052n06ABEH002201
1141
Extrinsic geometry of strongly parabolic multidimensional submanifolds

View article, Extrinsic geometry of strongly parabolic multidimensional submanifolds PDF, Extrinsic geometry of strongly parabolic multidimensional submanifolds

Contents §1. Introduction §2. Affine classification of points of multidimensional surfaces 2.1. Main results 2.2. Proof of Theorem 2.1.1 2.3. Classification of points of 3-dimensional submanifolds §3. Strongly parabolic submanifolds 3.1. Local structure of a strongly parabolic surface in Riemannian space 3.2. Local structure of a strongly parabolic surface in Euclidean space 3.3. Complete strongly parabolic multidimensional surfaces in Euclidean space 3.4. Conditions under which complete strongly parabolic submanifolds in spherical space are totally geodesic 3.5. Strongly parabolic submanifolds in Lobachevskii space 3.6. Strongly parabolic submanifolds in pseudo-Euclidean and pseudo-Riemannian spaces of constant curvature 3.7. Strongly parabolic submanifolds and minimal surfaces

Bibliography

https://doi.org/10.1070/RM1997v052n06ABEH002154
1191
Quantum computations: algorithms and error correction

View article, Quantum computations: algorithms and error correction PDF, Quantum computations: algorithms and error correction

Contents §0. Introduction §1. Abelian problem on the stabilizer §2. Classical models of computations 2.1. Boolean schemes and sequences of operations 2.2. Reversible computations §3. Quantum formalism 3.1. Basic notions and notation 3.2. Transformations of mixed states 3.3. Accuracy §4. Quantum models of computations 4.1. Definitions and basic properties 4.2. Construction of various operators from the elements of a basis 4.3. Generalized quantum control and universal schemes §5. Measurement operators §6. Polynomial quantum algorithm for the stabilizer problem §7. Computations with perturbations: the choice of a model §8. Quantum codes (definitions and general properties) 8.1. Basic notions and ideas 8.2. One-to-one codes 8.3. Many-to-one codes §9. Symplectic (additive) codes 9.1. Algebraic preparation 9.2. The basic construction 9.3. Error correction procedure 9.4. Torus codes §10. Error correction in the computation process: general principles 10.1. Definitions and results 10.2. Proofs §11. Error correction: concrete procedures 11.1. The symplecto-classical case 11.2. The case of a complete basis

Bibliography

https://doi.org/10.1070/RM1997v052n06ABEH002155
1251
Newton polygons, curves on torus surfaces, and the converse Weil theorem

View article, Newton polygons, curves on torus surfaces, and the converse Weil theorem PDF, Newton polygons, curves on torus surfaces, and the converse Weil theorem

Contents Introduction §1. Newton polygons, the Pascal relation, and the Vieta relation §2. Newton polygons and Weil numbers §3. Parametrization of one-dimensional orbits on a torus surface §4. Curves on a torus surface §5. Polygons without interior integer-valued points §6. Polygon ΔD with an interior integer-valued point §7. Polygon ΔD without interior integer-valued points §8. Meromorphic vector functions on compact curves §9. Refinement of Weil's theorem §10. Abel's theorem and the Vieta relation §11. Singularities of the characteristic curve and Newton polygons

Bibliography

https://doi.org/10.1070/RM1997v052n06ABEH002156
1281
Vasilii Vasil'evich Chernikov (obituary)

, , and

View article, Vasilii Vasil'evich Chernikov (obituary) PDF, Vasilii Vasil'evich Chernikov (obituary)
https://doi.org/10.1070/RM1997v052n06ABEH002157