On existence of admissible and weakly admissible limits for functions of several complex variables

Kishinev. Translated fromSibirski Matematicheski Zhurnal, Vol. 33, No. 4, pp. 212–214, July–August, 1992.     

On estimating parameters of a multitype Galton-Watson process by ϕ-branching processes

Kazan'. Translated fromSibirski Matematicheski Zhurnal, Vol. 33, No. 4, pp. 175–185, July–August, 1992.     

On interrelation between the problem of unique determination of a domain in R N and a problem of recovery of a locally euclidean metric

Novosibirsk. Translated fromSibirski Matematicheski Zhurnal, Vol. 33, No. 4, pp. 206–211, July–August, 1992.     

Maximal solvable subgroups of the special linear group over an arbitrary field

Minsk. Translated fromSibirski Matematicheski Zhurnal, Vol. 33, No. 6, pp. 39–46, November–December, 1992.     

Boundary properties of conformal and quasiconformal mappings of polygons

Novosibirsk. Translated fromSibirski Matematicheski Zhurnal, Vol. 33, No. 6, pp. 31–38, November–December, 1992.     

On monotone dominated sublinear functionals on the space of measurable functions

Moscow. Translated fromSibirski Matematicheski Zhurnal, Vol. 33, No. 6, pp. 94–105, November–December, 1992.     

Parametric oscillations of solutions to the telegraph equation with moderately small diffusion

Moscow. Translated fromSibirski Matematicheski Zhurnal, Vol. 33, No. 6, pp. 79–86, November–December, 1992.     

On the extension principle in internal set theory

Moscow. Translated fromSibirski Matematicheski Zhurnal, Vol. 33, No. 6, pp. 66–78, November–December, 1992.     

An approach to the boundary value problems for equations of composite type

Novosibirsk. Translated fromSibirski Matematicheski Zhurnal, Vol. 33, No. 6, pp. 47–53, November–December, 1992.     

On a method of studying multipoint boundary value problems

Moscow. Translated fromSibirski Matematicheski Zhurnal, Vol. 33, No. 6, pp. 87–93, November–December, 1992.     

On the paper “Asymptotic behavior of meromorphic functions of completely regular growth and of their logarithmic derivatives”

Translated fromSibirski Matematicheski Zhurnal, Vol. 33, No. 4, pp. 219–219, July–August, 1992.     

Asymptotics of polynomials orthogonal with respect to varying measures

Letd be a finite positive Borel measure on the interval [0, 2] such that >0 almost everywhere; andW _n be a sequence of polynomials, degW _n =n, whose zeros (w _n ,1,,w _n,n lie in [|z|1]. Let d _n <> for each_nN, whered _n =d/|W _n (e ⁱ )|². We consider the table of polynomials _n,m such that for each fixednN the system _n,m,mN, is orthonormal with respect tod _n . If

Fourier series of functions whose Hankel transform is supported on [0, 1]

LetJ denote the Bessel function of order . For >–1, the system x^–/2–1/2J_+2n+1(x^1/2, n=0, 1, 2,..., is orthogonal onL ²((0, ),x dx). In this paper we study the mean convergence of Fourier series with respect to this system for functions whose Hankel transform is supported on [0, 1].Communicated by Mourad Ismail.     

Lattices of dominions in quasivarieties of Abelian groups

Let M be any quasivariety of Abelian groups, (H) be the dominion of a subgroup H of a group G in M, and L_q(M) be the lattice of subquasivarieties of M. It is proved that (H ) coincides with a least normal subgroup of the group G containing H, the factor group with respect to which is in M. Conditions are specified subject to which the set L(G,H,M) = { (H) | N L_q(M)} forms a lattice under set-theoretic inclusion and the map : L_q(M) L(G,H,M) such that (N) = (H) for any quasivariety N L_q(M)is an antihomomorphism of the lattice L _q (M) onto the lattice L(G, H, M).__________Translated from Algebra i Logika, Vol. 44, No. 2, pp. 238–251, March–April, 2005.     

Blocks of orthogonal random variables and the strong law of large numbers

(X _k ),k=1,2,... — _k ² >1; (X _k ) , E(X _k X _t )=0 p k<>(p+1) (p,k,l=1, 2, ...) , , ,

Interpolation by Lagrange polynomials,B-splines and bounds of errors

m N k=m–2,m–1

Necessary and sufficient conditions for interpolation with functions having monotoner-th derivatives

,

The GHS inequality and the Riemann hypothesis

LetV(t) be the even function on (–, ) which is related to the Riemann xi-function by (x/2)=4 _– exp(ixt–V(t))dt. In a proof of certain moment inequalities which are necessary for the validity of the Riemann Hypothesis, it was previously shown thatV'(t)/t is increasing on (0, ). We prove a stronger property which is related to the GHS inequality of statistical mechanics, namely thatV' is convex on [0, ). The possible relevance of the convexity ofV' to the Riemann Hypothesis is discussed.Communicated by Richard Varga.     

Comparative cooperative game theory

Given two side-payment gamesv andw, both defined for the same finite player-setN, the following three welfare criteria are characterized in terms of the datav andw: (A) For everyy C(w) there existsx C(v) such thatyx; (A) For everyxC(v) there existsyC(w) such thatyx; and (B) There existyC(w) andxC(v) such thatyx. (HereC(v) denotes the core ofv.) Given two non-side-payment gamesv andw, sufficient conditions for the criteria (A) and (B) are established, by observing that an ordinal convex game has a large core.In memory of my teacher in Japan, Professor Ryuichi Watanabe, 1928–1986.     

Rational approximation to Lipschitz and Zygmund classes

In this paper, characterizations for lim _n(R _n (f)/(n ^–1)=0 inH and for lim _n(n ^r+ R _n (f)=0 inW ^r Lip ,r1, are given, while, forZ, a generalization to a related result of Newman is established.Communicated by Ronald A. DeVore.