Table of contents

Volume 57

Number 1, February 2002

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COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY

143
The boundedness of orthonormalised eigenfunctions of a non-linear Sturm-Liouville type boundary-value problem with weight function unbounded from above on a finite interval

View article, The boundedness of orthonormalised eigenfunctions of a non-linear Sturm-Liouville type boundary-value problem with weight function unbounded from above on a finite interval PDF, The boundedness of orthonormalised eigenfunctions of a non-linear Sturm-Liouville type boundary-value problem with weight function unbounded from above on a finite interval
https://doi.org/10.1070/RM2002v057n01ABEH000477
146
Spatial derivatives of solutions of the Navier-Stokes equation with low viscosity

View article, Spatial derivatives of solutions of the Navier-Stokes equation with low viscosity PDF, Spatial derivatives of solutions of the Navier-Stokes equation with low viscosity
https://doi.org/10.1070/RM2002v057n01ABEH000478
148
Applications of Frobenius n-homomorphisms

and

View article, Applications of Frobenius n-homomorphisms PDF, Applications of Frobenius n-homomorphisms
https://doi.org/10.1070/RM2002v057n01ABEH000479
150
Conditions for the finiteness of the discrete spectrum of the Hamiltonian of a system of three arbitrary particles on a lattice

and

View article, Conditions for the finiteness of the discrete spectrum of the Hamiltonian of a system of three arbitrary particles on a lattice PDF, Conditions for the finiteness of the discrete spectrum of the Hamiltonian of a system of three arbitrary particles on a lattice
https://doi.org/10.1070/RM2002v057n01ABEH000482
153
Integrable bi-Hamiltonian systems of hydrodynamic type

View article, Integrable bi-Hamiltonian systems of hydrodynamic type PDF, Integrable bi-Hamiltonian systems of hydrodynamic type
https://doi.org/10.1070/RM2002v057n01ABEH000483
155
On the intersection of Cantor τ-sets

View article, On the intersection of Cantor τ-sets PDF, On the intersection of Cantor τ-sets
https://doi.org/10.1070/RM2002v057n01ABEH000484
157
Birational automorphisms of Fano hypersurfaces with singularities

View article, Birational automorphisms of Fano hypersurfaces with singularities PDF, Birational automorphisms of Fano hypersurfaces with singularities
https://doi.org/10.1070/RM2002v057n01ABEH000486
159
Proof of the quantum chaos conjecture and generalised continued fractions

View article, Proof of the quantum chaos conjecture and generalised continued fractions PDF, Proof of the quantum chaos conjecture and generalised continued fractions
https://doi.org/10.1070/RM2002v057n01ABEH000485
161
Integration of certain classes of non-conservative systems

View article, Integration of certain classes of non-conservative systems PDF, Integration of certain classes of non-conservative systems
https://doi.org/10.1070/RM2002v057n01ABEH000489
163
Optimal forecasting of the time of attaining the maximum by Brownian motion

View article, Optimal forecasting of the time of attaining the maximum by Brownian motion PDF, Optimal forecasting of the time of attaining the maximum by Brownian motion
https://doi.org/10.1070/RM2002v057n01ABEH000487
165
On the Ψ-function for finite-gap potentials

and

View article, On the Ψ-function for finite-gap potentials PDF, On the Ψ-function for finite-gap potentials
https://doi.org/10.1070/RM2002v057n01ABEH000488
168
Accumulation of eigenvalues of differential operator-valued functions

View article, Accumulation of eigenvalues of differential operator-valued functions PDF, Accumulation of eigenvalues of differential operator-valued functions
https://doi.org/10.1070/RM2002v057n01ABEH000480
170
Coincidence points of functions from -spaces to CW-complexes

View article, Coincidence points of functions from -spaces to CW-complexes PDF, Coincidence points of functions from -spaces to CW-complexes
https://doi.org/10.1070/RM2002v057n01ABEH000481
173
Representations of multivalued groups on graphs

View article, Representations of multivalued groups on graphs PDF, Representations of multivalued groups on graphs
https://doi.org/10.1070/RM2002v057n01ABEH000476
175
Meetings of the St. Petersburg Mathematical Society
View article, Meetings of the St. Petersburg Mathematical Society PDF, Meetings of the St. Petersburg Mathematical Society
https://doi.org/10.1070/RM2002v057n01ABEH000490
183
Anatolii Georgievich Vitushkin (on his 70th birthday)

View article, Anatolii Georgievich Vitushkin (on his 70th birthday) PDF, Anatolii Georgievich Vitushkin (on his 70th birthday)
https://doi.org/10.1070/RM2002v057n01ABEH000492
191
Andrei Aleksandrovich Gonchar (on his 70th birthday)

View article, Andrei Aleksandrovich Gonchar (on his 70th birthday) PDF, Andrei Aleksandrovich Gonchar (on his 70th birthday)
https://doi.org/10.1070/RM2002v057n01ABEH000493

MATHEMATICAL LIFE

199
Half a century as one day

View article, Half a century as one day PDF, Half a century as one day
https://doi.org/10.1070/RM2002v057n01ABEH000494
1
Real submanifolds in complex space: polynomial models, automorphisms, and classification problems

Open abstract View article, Real submanifolds in complex space: polynomial models, automorphisms, and classification problems PDF, Real submanifolds in complex space: polynomial models, automorphisms, and classification problems

This is a survey of results on the local theory of real submanifolds of a complex space. Most of the results included here were obtained in Vitushkin's seminar at Moscow State University over the last fifteen years. The most important achievement is a technique for computing automorphisms, invariants, and classifications of real submanifolds, which includes as a main step the construction of a "good" model surface (an analogue of an osculating paraboloid in classical differential geometry).

https://doi.org/10.1070/RM2002v057n01ABEH000474
43
Padé approximants and efficient analytic continuation of a power series

Open abstract View article, Padé approximants and efficient analytic continuation of a power series PDF, Padé approximants and efficient analytic continuation of a power series

This survey reflects the current state of the theory of Padé approximants, that is, best rational approximations of power series. The main focus is on the so-called inverse problems of this theory, in which one must make deductions about analytic continuation of a given power series on the basis of the known asymptotic behaviour of the poles of some sequence of Padé approximants of this series. Row and diagonal sequences are studied from this point of view. Gonchar's and Rakhmanov's fundamental results of inverse nature are presented along with results of the author.

https://doi.org/10.1070/RM2002v057n01ABEH000475