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.     

A generalization of the denjoy integral

We prove that the IsekiM-integral is substantially more general than the Denjoy integral. Translated fromMatematicheskie Zametki, Vol. 62, No. 5, pp. 766–772, November, 1997. Translated by I. P. Zvyagin     

Semigroups presented by one relation and satisfying the Church-Rosser property

This paper is devoted to the study of semigroups presented by a single defining relationA=B and satisfying the Church-Rosser property. Translated fromMatematicheskie Zametki, Vol. 61, No. 1, pp. 114–118, January, 1997. Translated by A. I. Shtern     

Electronic and magnetic states in the two-band Hubbard model

Electronic and magnetic states are considered in the two-band Hubbard model. Bibliography:5 titles. Dedicated to the memory of V. N. Popov Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 224, 1995, pp. 240–249. Translated by B. Bekker.     

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 and weak ordering on the weyl group

We consider the cohomologyG-modules of linear bundles over the flag manifoldG/B over an algebraically closed field of prime characteristic. We study the structure of submodules of these modules and their homomorphisms. Translated fromMaternaticheskie Zametki, Vol. 62, No. 2, pp. 163–168, August, 1997. Translated by S. K. Lando     

On the definability of endomorphisms of a free group of the variety\mathfrak{A}\mathfrak{M} by a finite set of valuesby a finite set of values

In the paper we find out in what cases any endomorphism of a free metabelian group of rankn is uniquely determined by its values on finitely many elements of the group. Translated fromMatematicheskie Zametki, Vol. 62, No. 6, pp. 916–920, December, 1997 Translated by A. I. Shtern     

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.     

Curvature identities for normal manifolds of killing type

We present two curvature identities and study the corresponding classesR ₁ andR ₂ of normal manifolds of Killing type. Translated fromMatematicheskie Zametki, Vol. 62, No. 3, pp. 351–362, September, 1997. Translated by S. S. Anisov     

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.     

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     

Geometry of distributions of flags on Grassmann manifolds of a projective space. I

We consider intrinsic normalizations of distributions of flags of type (m, m+1) on the Grassmann manifold ofm-planes of a (2m+2)-dimensional projective space. Translated from Lietuvos Matematikos Rinkinys, Vol. 40, No. 2, pp. 214–227, April–June, 2000. Translated by V. Mackevičius     

Finite groups with 2-nilpotent subgroups of even index

Finite groups with 2-nilpotent subgroups of even index are described. Translated fromMatematicheskie Zametki, Vol. 61, No. 5, pp. 700–705, May, 1997. Translated by A. I. Shtern     

Construction of the extremal function for a functional on the classH ω (n)

For a functional on the classH _ω ⁽ⁿ⁾ ,n≥3, we construct the extremal function on which the upper bound obtained by A. I. Stepanets is attained. Translated fromMatematicheskie Zametki, Vol. 61, No. 4, pp. 519–529, April, 1997. Translated by N. K. Kulman     

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.     

Negative exterior curvature foliations on compact Riemannian manifolds

The topological structure of compact Riemannian manifolds that admit hyperbolic foliations is studied. Translated fromMatematicheskie Zametki, Vol. 62, No. 5, pp. 673–676, November, 1997. Translated by S. S. Anisov     

Continuous projections, duality, and the diagonal mapping in weighted spaces of holomorphic functions with mixed norm

The content of this paper is reflected by its title. Bibliography: 16 titles. Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 247, 1997, pp. 268–275. Translated by S. V. Kislyakov.     

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.     

Asymptotic analysis of the current-voltage characteristic of the Josephson junction

The current-voltage characteristic of the Josephson junction placed in a high-frequency electromagnetic field is obtained. Bibliography: 7 titles. Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 186, pp. 101–106, 1990. Translated by A. Ya. Kazakov.