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1.
V. A. Andrienko 《Analysis Mathematica》1996,22(4):243-266
( ) . .
Dedicated to Professor K. Tandori on his seventieth birthday
This research was supported in part by Grant # K41 100 of the Joint Fund of the Government of Ukraine and the International Science Foundation. 相似文献
Dedicated to Professor K. Tandori on his seventieth birthday
This research was supported in part by Grant # K41 100 of the Joint Fund of the Government of Ukraine and the International Science Foundation. 相似文献
2.
() [0,1] — {(n)} — , +. , f(x) [0,1]
() , x
1
,x
2 [0, 1], (1)=(2), f(x
1
)=f(x
2
). 相似文献
3.
V. A. Slousch 《Journal of Mathematical Sciences》2003,115(2):2272-2278
Let A be a self-adjoint elliptic second-order differential operator, let (, ) be an inner gap in the spectrum of A, and let B(t) = A + tW
*
W, where W is a differential operator of higher order. Conditions are obtained under which the spectrum of the operator B(t) in the gap (, ) is either discrete, or does not accumulate to the right-hand boundary of the spectral gap, or is finite. The quantity N(, A, W, ), (, ), > 0 (the number of eigenvalues of the operator B(t) passing the point (, ) as t increases from 0 to ) is considered. Estimates of N(, A, W, ) are obtained. For the perturbation W
*
W of a special form, the asymptotics of N(, A, W, ) as + is given. Bibliography: 5 titles. 相似文献
4.
5.
Oswald Giering 《Journal of Geometry》1976,8(1-2):9-17
In this paper we study the curves of a surface (
T
-lines) which are base curves of ruled surfaces for which the parameter of distribution O has a constant value. Moreover we assume that the ruled surfaces belong to a given congruenceT of surface tangents of . Relations are established between the
T
-lines and other curves of (asymptotic lines, lines of curvature, k
T
-lines). The
T
-lines are used to characterize the pseudospheres and the helicoids. The
T
-lines of the surfaces of revolution are determined if the congruenceT consists of the tangents of the circles of latitude.
Herrn WERNER BURAU zum 70.Geburtstag 相似文献
Herrn WERNER BURAU zum 70.Geburtstag 相似文献
6.
S. V. Petras 《Journal of Mathematical Sciences》1984,24(3):380-386
The behavior of the poles zn(), n=1,2,... of the scattering matrix of the operatorl
u=–u(x), x , (u/n)+(x)u|=0 as 0 is considered. It is proved that |zn()–zn|=0((1/2)qn), where qn is the order of the pole of the scattering matrix for the operator 0u=–u, u/=0.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 117, pp. 183–191, 1981. 相似文献
7.
A. Ülger 《Monatshefte für Mathematik》1996,121(4):353-379
LetA be a commutative Banach algebra with a nonempty spectrum A. By weak we denote the relative weak topology induced on A by (A
*,A
**). In this note we study some properties of the topological space (A, weak) and present some applications of the results obtained and tools used to amenability, weakly compact homomorphisms, weakly compact subsets of the spectrum of the uniform algebras and to a characterization of the synthesizable ideals of the algebraA. 相似文献
8.
В. Ф. Гапошкин 《Analysis Mathematica》1985,11(3):193-199
(C, ). , . 0<<1. 1) - (
k
),
k
=a
k
, (C, ),
. 2)
, , (C, ) ;
k
= =¦a
k
¦. 相似文献
9.
V. L. Girko 《Journal of Mathematical Sciences》1993,66(4):2442-2447
For linear forms of regularized solutions (x, c)=Re c' · Re[I + i)+A'An
–1]–1 A'nb of systems of equations Ax=b, where A is an n×m matrix, x, c, b are vectors, and n is a sequence of constants, we propose the estimator
, where
is any measurable solution of the equation ()Re[1+1a(())]2+ (1–2)(1+1(gq()))=, a(y)=n–1 Sp[Iy+–1Zs'Zs+ iI]–1,
, i=nn
2n
–1sn
–1, n=mIn
2n
–1sn
–1, Xi are independent observations on the matrix A. Under certain conditions, it is proved that G8 is a consistent estimator for n and 0.Translated from Vychislitel'naya i Prikladnaya Matematika, No. 66, pp. 111–119, 1988. 相似文献
10.
B. Zimmermann 《Monatshefte für Mathematik》1990,110(3-4):321-327
We explicitly compute the outer automorphism group Out 1
M of the fundamental group of the Hantzsche — Wendt manifoldM. It is an extension 1(2)3Out1
MS
321, but not the semidirect product (2)3(S
32) as claimed in [3] (see also [4]). As a consequence, we get a quick algebraic computation of the symmetry groups of the Borromean rings and the figure-8-knot. 相似文献
11.
A. S. Ustunel 《Probability Theory and Related Fields》1982,60(1):21-39
Summary This work is devoted to prove the following fact: Suppose that is a nuclear space whose dual is nuclear under the strong topology. IfX is a weakly adapted mapping with values in such that for any,X'() has a modification which is a semimartingale then there exists a unique projective system of Hubert space-valued semimartingales indexed by the Hilbert-Schmidt neighbourhood base of the dual space whose projective limit isX.In the last part we study in detail a semimartingale defined as the convolution of a distribution by a random Dirac measure whose support is determined by the trajectories of a real-valued semimartingale. 相似文献
12.
A. Yu. Solynin 《Journal of Mathematical Sciences》1994,70(6):2152-2161
Let Lf(r)={w=f(x), ¦z¦=r}, 1 < r < , be a level line of the function f(z) . Sharp upper bounds are obtained for the diameter of the curve Lf(r) in the class () for functions f(z)=z+0+1z–1+... for which there exists a domain f that complements the exterior of the unit disk and has conformal radius at the point w=0 satisfying the condition R(f,0) , 0 < < 1. Also, a set of values is found for the coefficient 1 in the class ().Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 196, pp. 138–153, 1991. 相似文献
13.
Résumé On montre que si L est une forme linéaire régulière et semi-classique, alors la forme u=L + c où c C est quelconque, est encore régulière et semi-classique pour tout C en dehors d'un ensemble dénombrable de valeurs singulières. On donne l'équation différentielle linéaire du second ordre vérifiée par chaque polynôme de la suite orthogonale associée à u.
We show that, if L is a regular, semi-classical functional, then u=L + c where c C, is also regular and semi-classical for every complex , except for a discret set. We give the second order linear differential equation satisfied by each polynomial of the orthogonal sequence associated with u.相似文献
14.
Consider the Hopf algebra (A, ) of regular functions on a compact quantum group. Let (A
o
,) denote its maximal dual Hopf algebra. We show that the tensor product Hopf algebra (H
2,2) of (A
o
,) and its opposite Hopf algebra is endowed with a modular pair (,) in involution; a notion introduced by A. Connes and J. Moscovici, who associate canonically a cocyclic object to such Hopf algebras. Denote the Hopf cyclic cohomology thus obtained by HC
*
(,)(H
2). Next we define an action of H
2),2 on A and show that the Haar state of (A, ) is a -invariant -trace on A with respect to this action. This gives us a canonical map from HC
*
(,)(H
2) to the ordinary cyclic cohomology of A. 相似文献
15.
Regularization of Nonlinear Ill-Posed Variational Inequalities and Convergence Rates 总被引:12,自引:0,他引:12
Let H be a Hilbert space and K be a nonempty closed convex subset of H. For f H, we consider the (ill-posed) problem of finding u K for which 0 for all v K, where A : H H is a monotone (not necessarily linear) operator. We study the approximation of the solutions of the variational inequality by using the following perturbed variational inequality: for f H, f – f , find u, K for which 0 for all v K, where , , and are positive parameters, and K, a perturbation of the set K, is a nonempty closed convex set in H. We establish convergence and a rate O(1 / 3) of convergence of the solutions of the regularized variational inequalities to a solution of the original variational inequality using the Mosco approximation of closed convex sets, where A is a weakly differentiable inverse-strongly-monotone operator. 相似文献
16.
L. Leindler 《Analysis Mathematica》1995,21(4):285-297
[3] , [1], ¦C,,(t)¦
k
- . , , ¦R, , (t)¦
k
- ¦R, , (t)¦
k
- . (t)=1,k=1 [7], [9].
This research was partially supported by the Hungarian National Foundation for Scientific Research under Grant#T 016 393. 相似文献
This research was partially supported by the Hungarian National Foundation for Scientific Research under Grant#T 016 393. 相似文献
17.
A new two-scale expansion is proposed for eigenfunctions of bouncing-ball type and the corresponding eigenvalues of the Laplace operator with the Dirichlet condition in a domain of the plane. The eigenfunctions are concentrated in a neighborhood of a stable diameter of the domain and are numbered with two indices (p, q) where p is the number of longitudinal nodes and q the number of nodes in a direction orthogonal to the diameter. The validity of the asymptotic expansions is guaranteed for 0 q const p–1 and >0 as p +.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 117, pp. 172–182, 1981. 相似文献
18.
Donald I. Cartwright Anna Maria Mantero Tim Steger Anna Zappa 《Geometriae Dedicata》1993,47(2):167-223
If (P, L) is a projective plane and is a triangle presentation compatible with a point-line correspondence :P L, then gives rise to a group and a thick building of typeÃ
2 on the vertices of which acts simply transitively. We find all triangle presentations (up to natural equivalence) compatible with some point-line correspondence :P L, when (P, L) is the projective plane of orderq=2 orq=3. For some, but not all, of these , is isomorphic to the building associated withG=PGL(3,K) whereK is a local field with discrete valuation and residual field of orderq. We identify the for which this is the case, and in these cases, find embeddings of intoG. We also describe the arithmetic nature of these groups. 相似文献
19.
H. J. Veldman 《Graphs and Combinatorics》1995,11(4):379-388
Letk and be positive integers, andG a 2-connected graph of ordern with minimum degree and independence number. A cycleC ofG is called aD
-cycle if every component ofG – V(C) has order smaller than. The graphG isk-cyclable if anyk vertices ofG lie on a common cycle. A previous result of the author is that if k 2, G isk-connected and every connected subgraphH ofG of order has at leastn +k
2 + 1/k + 1 – vertices outsideH adjacent to at least one vertex ofH, thenG contains aD
-cycle. Here it is conjectured that k-connected can be replaced by k-cyclable, and this is proved fork = 3. As a consequence it is shown that ifn 4 – 6, or ifG is triangle-free andn 8 – 10, thenG contains aD
3-cycle orG , where denotes a well-known class of nonhamiltonian graphs of connectivity 2. As an analogue of a result of Nash-Williams it follows that ifn 4 – 6 and – 1, thenG is hamiltonian orG . The results are all best possible and compare favorably with recent results on hamiltonicity of graphs which are close to claw-free. 相似文献
20.
We consider linear integral equations and Urysohn equations with constant integration limits. Sufficient conditions are given for the solutions of these equations to be in Sobolev spacesW
2
(0,1), 0 2. Finite-difference schemes are constructed for approximate solution of the original equation by special averaging of the right-hand side kernel. The rate of convergence of the approximate solution to the averaged exact solution is shown to beO(h|ln h|(1/2,)+(3/2,)).Translated from Vychislitel'naya i Prikladnaya Matematika, No. 63, pp. 3–19, 1987. 相似文献