Detection of gross errors by the chauvenet test for observations connected in a homogeneous markov chain

The Chauvenet rule for detection of gross errors is extended for the case of a stationary Gaussian Markov chain with unknown correlation. Bibliography:4 titles. Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 207, pp. 137–142, 1993. Translated by L. Khalfin.     

On the measure of algebraic independence of values of derivatives of ap-adic modular function

The measure of the relative transcendence for the values of the derivatives of ap-adic Weyl-Lutz modular functionJ(q) at algebraic points is estimated. Translated fromMatematicheskie Zametki, Vol. 61, No. 3, pp. 431–440, March, 1997. Translated by O. V. Sipacheva     

Structure of cohomology modules of linear bundles overG/B

We study the cohomologyG-modules of linear bundles over flag spacesG/B for algebraically closed fields of prime characteristic. Some series of submodules and quotient modules of these modules are described. Translated by S. K. Lando Translated fromMatematicheskie Zametki, Vol. 62, No. 1, pp. 10–17, July, 1997.     

On the lindblad equation with unbounded time-dependent coefficients

We prove newa priori estimates for the resolvent of a minimal quantum dynamical semigroup. These estimates simplify well-known conditions sufficient for conservativity and impose continuity conditions on the time-dependent operator coefficients ensuring the existence of conservative solutions of the Markov evolution equations. Translated fromMatematicheskie Zametki, Vol. 61, No. 1, pp. 125–140, January, 1997. Translated by A. M. Chebotarev     

On an identity for dual fields

A new identity for dual fields is proved. Bibliography: 4 titles. Translated from,Zapiski Nauchnykh Seminarov POMI, Vol. 245, 1997, pp. 270–281. Translated by N. A. Slavnov.     

Reconstruction of 3-submanifolds of large codimension in euclidean spaces from their gauss image

We present necessary and sufficient conditions for a regular three-dimensional manifold in the Grassmannian manifoldG(m, m+3) to be the Gauss image of a regular 3-submanifold in (m+3)-dimensional Euclidean space form>4. Translated fromMatemalicheskie Zametki, Vol. 62, No. 5, pp. 694–699, November, 1997. Translated by S. K. Lando     

Solvability of a periodic boundary-value problem for a system of first-order ordinary differential equations with (β,γ,δ)-comparison pairs

Existence theorems are proved for an incomplete set of upper and lower functions. Bibliography: 1 title. Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 248, 1998, pp. 231–241. Translated by L. Yu. Kolotilina.     

A library of matlab functions for polynomial matrices

This paper initiates the work pertaining to the preparation of a library of MATLAB functions. This library involves programs for personal computers, which realize methods and algorithms for solving spectral problems for polynomial one-parameter matrices, as well as some spectral problems for two-parameter polynomial matrices. Bibliography:4 titles. Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 219, 1994, pp. 53–80. Translated by N. B. Lebedinskaya.     

Necessary conditions for an extremum in the calculus of variations with nonsmooth phase variables

Necessary conditions for an extremum in a general isoperimetric problem not involving partial derivatives with respect to phase variables are obtained. Translated fromMatematicheskie Zametki, Vol. 61, No. 6, pp. 922–930, June, 1997. Translated by N. K. Kulman     

On the functional law of the iterated logarithm for trimmed sums

New conditions for the functional law of the iterated logarithm for trimmed sums of symmetric independent identically distributed random variables are obtained. Bibliography: 7 titles. Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 244, 1997, pp. 119–125. Translated by N. B. Lebedinskaya.     

q-bosonization of the orthogonal and symplectic quantum groups

On the basis of the Gauss decomposition, the q-bosonization procedure is developed for the othogonal and symplectic quantum groups. Bibliogrphy: 6 titles. Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 245, 1997, pp. 166–172. Translated by E. V. Damaskinskii.     

An orthogonalization process for spherically invariant measures

A method for investigation of the behavior of the distribution of the maximum of two Gaussian families during an orthogonalization process is described. Bibliography: 1 title. Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 244, 1997, pp. 285–294. Translated by A. Sudakov.     

Calculation of a “nongeometric” S*-wave by using complex rays

By means of complex rays an explicit analytic expression is obtained for an S^*-wave which does not satisfy the classical geometric optics of elastic waves. Bibliography:11 titles. To dear Olga Alexandrovna Ladyzhenskaya on her jubilee Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 200, 1992, pp. 17–26. Translated by N. S. Zabavnikova.     

On moduli spaces for stable bundles on quadrics

We investigate the relation between stable representations of quivers and stable sheaves. A construction of thin smooth compact moduli spaces for stable sheaves on quadrics based on this relation is presented. Translated fromMatematicheskie Zametki, Vol 62, No. 6, pp. 843–864, December, 1997 Translated by S. K. Lando     

Some analogs of the Carleson embedding theorem for certain Hilbetr spaces of analytic functions

The embedding theorems mentioned in the title are proved for Hilbert spaces of holomorphic and harmonic functions satisfying slow growth conditions near the boundary. Bibliography: 3 titles. Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 206, 1993. pp. 40–54. Translated by V. I. Vasyunin.     

The oblique boundary-value problem for a quasilinear parabolic equation

The solvability of the oblique boundary-value problem for quasilinear parabolic nondivergent equations with singularities is studied. Bibliography: 9 titles. To Olga Ladyzhenskaya on the occasion of the jubilee Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 200, 1992. pp. 118–131. Translated by V. I. Ochkur.     

Some problems concerning universality in families ofn-Dimensional rational spaces

In this paper some problems concerning universality in families of n-dimensional rational spaces are given. Bibliography:17 titles. Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 208, 1993, pp. 98–102. Translated by S. D. Iliadis.     

Tables of the best possible unbalsed estimates for functions of parameters of multinomial and negative multinomial distributions

Tables of unbiased estimators with minimal variances for functions of the parameters of multinomial and negative multinomial distributions are collected. Bibliography: 10 titles. Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 207, pp. 13–18, 1993. Translated by V. Sudakov.