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1.
A. B. Aleksandrov 《Journal of Mathematical Sciences》1993,63(2):115-129
Let be an inner function, let C, ¦¦=1. Then the harmonic function [(+)]/(–)] is the Poisson integral of a singular measure
D. N. Clark's known theorem enables us to identify in a natural manner the space H2 H2 with the space L2
(
).Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova Akademii Nauk SSSR, Vol. 170, pp. 7–33, 1989. 相似文献
2.
On zeros of functions analytic in a half plane and completeness of systems of exponents 总被引:2,自引:0,他引:2
B. V. Vinnitskii 《Ukrainian Mathematical Journal》1994,46(5):514-532
Sequences of zeros are described for functionsf, which, in the right half plane, are analytic and satisfy the condition ¦f(z)¦0(1) exp (¦z¦), 0<. A criterion of completeness of a system of exponents in a certain space of functions analytic in a half strip is established.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 5, pp. 484–500, May, 1994. 相似文献
3.
Joaquin Ortega 《Probability Theory and Related Fields》1982,59(2):169-177
Summary Let X={X(t), t
N} be a centred Gaussian random field with covariance X(t)X(s)=r(t–s) continuous on N×N and r(0)=1. Let (t,s)=((X(t)–X(s))
2)1/2; (t,s) is a pseudometric on N. Assume X is -separable. Let D
1 be the unit cube in N and for 0<k, D
k= {xN: k
–1
xD1}, Z(k)=sup{X(t),tD
k}. If X is sample continuous and ¦r(t)¦ =o(1/log¦t¦) as ¦t¦8 then Z(k)-(2Nlogk)
1/20 as k a.s. 相似文献
4.
LetG be a subgroup of the general linear group GLn(K), where charK 2. Put Kn =V. AssumeG is generated by the setS of all elements inG for which dimV( – 1) = 1, and suppose 2=1V for each inS. If {V(–1)¦S} contains a simplex, if – 1V G, and if inG is a product of dim v(–1) elements inS wheneverV(–1) is not contained in the kernel of–1, thenG is a subgroup of an orthogonal group.This research was supported in part by NSERC Canada grant A7251.To Helmut Mäurer on his 60th birthday 相似文献
5.
E. Csáki 《Probability Theory and Related Fields》1980,54(3):287-301
Summary Let W(t) be a standard Wiener process and let f(x) be a function from the compact class in Strassen's law of the iterated logarithm. We investigate the lim inf behavior of the variable sup ¦W(xT)(2T loglog T)–1/2–f(x)¦, 0x1 suitably normalized as T.This extends Chung's result valid for f(x)0, stating that lim inf.[ sup ¦(2T loglogT)–1/2
W(xT)¦(loglog T)–1]=/4 a.s. T 0x1 相似文献
6.
V. I. Ladygin 《Mathematical Notes》1978,23(1):51-58
A condition is obtained on the placement of point n (in some sense, the final point) with which completeness of the system of functionsexp (–
n
x), Ren>0, in spaces Lp, 1p<2. is equivalent to divergence of the series ren(1+¦n¦2)–1.Translated from Matematicheskie Zametki, Vol. 23, No. 1, pp. 91–103, January, 1978.Deceased. 相似文献
7.
Xiangsheng Xu 《Applied Mathematics and Optimization》1996,34(3):299-324
A partial regularity theorem is established for a particular class of weak solutions to the systemu/t– div(K(u)u)=(u)¦¦2, div((u))=0 on a bounded domain inR
N
. Under our assumptions, (u) may exhibit exponential decay, and thus the system may be degenerate. Our proof is based upon a blow-up argument.This work was supported in part by NSF Grant DMS9424448. 相似文献
8.
N. Palinchak 《Mathematical Notes》1996,59(2):158-162
In the article strongly nondegenerate (k, n)-quadrics all of whose linear automorphisms are of the formzz, ¦¦2, {0} are considered. Quadrics all of whose linear automorphisms are of this form were calledc-rigid by V. Beloshapka. The main result of the article is the following: anyc-rigid strongly nondegenerate (k, n)-quadric has no nonlinear automorphisms. A table indicating the relationship between linear and nonlinear automorphisms for (k, n)-quadrics is presented.Translated fromMatematicheskie Zametki, Vol. 59, No. 2, pp. 224–229, February, 1996. 相似文献
9.
M. S. Sgibnev 《Mathematical Notes》1977,22(5):916-920
Let {n} be a sequence of identically distributed independent random variables,M1=<0,M
1
2
<;S
0=0,S
n
=1+2,+...+
n, n1;¯ S=sup {S
n
n=0.} The asymptotic behavior ofP(¯ St) as t is studied. If
t
P
(1x dx=0((t)), thenP(¯ St)– 1/¦¦
t
P (1x dx=0((t)) (t) is a positive function, having regular behavior at infinity.Translated from Matematicheskie Zametki, Vol. 22, No. 5, pp. 763–770, November, 1977.The author thanks B. A. Rogozin for the formulation of the problem and valuable remarks. 相似文献
10.
Let U be a subharmonic function in C with a Riesz mass , distributed on the negative semiaxis without some neighborhood of zero, let and be its order and lower order, and let B(r, U) be the maximum of U(z) for ¦z¦=r. Estimates are obtained for the measure of sets of those values of r 0 for which certain inequalities hold. The following result is typical. LetE = {r:u(re
l)–cosB<(r,U) > 0}. If < < 1, ¦¦=., then the lower logarithmic density of the set E is at least 1 – /. If < > 1,¦¦ ., then the upper logarithmic density of the set E is at least 1 – /.Translated from Teoriya Funktsii, Funktsional'nyi Analiz i Ikh Prilozheniya, No. 50, pp. 31–38, 1988. 相似文献
11.
S. V. Vostokov 《Journal of Mathematical Sciences》1982,20(6):2556-2559
The ringO of integers of a finite Abelian extension K of an algebraic number field k is studied as a module over the group ring =[G], where is the ring of integers of k and G is the Galois group of K/k. It is proved that the ring is a decomposable -module if and only if there exists in K/k an intermediate extension K/F. FK, whose degree divides the different.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta. im. V. A. Steklova AN SSSR, Vol. 71, pp. 80–84, 1977. 相似文献
12.
Let B be a domain in the complex plane, let pn(z) and Pn(z) be polynomials of degree n where the zeros of Pn(z) lie in
, let(z) be a finite function,(z) 0, z
. We consider the problem of estimating from above the functions L[pn(z)]=(z)pn(z) – wpn(z), z
, if ¦pn(z)¦ ¦Pn(z)¦ for zB. Under some very general conditions on B, z, (z), and w we prove the inequality ¦L[pn(z)]¦ ¦L[Pn(z)]¦.Translated from Matematicheskie Zametki, Vol. 3, No. 4, pp. 431–440, April, 1968. 相似文献
13.
O. D. Tsereteli 《Mathematical Notes》1968,4(4):768-770
For any functionf of L(0, 2), we prove that there is a function L(0, 2) such that ¦(x)¦ = ¦f(x)¦ almost everywhere and L(0, 2), where is the conjugate of.Translated from Matematicheskie Zametki, Vol. 4, No. 4, pp. 461–465, October, 1968. 相似文献
14.
D. V. Millionshchikov 《Mathematical Notes》2005,77(1-2):61-71
The cohomology H* (G/,) of the de Rham complex *(G/) of a compact solvmanifold G/ with deformed differential d = d + , where is a closed 1 -form, is studied. Such cohomologies naturally arise in Morse-Novikov theory. It is shown that, for any completely solvable Lie group G containing a cocompact lattice G, the cohomology H*(G/, ) is isomorphic to the cohomology H*(
) of the tangent Lie algebra
of the group G with coefficients in the one-dimensional representation :
defined by () = (). Moreover, the cohomology H
*(G/,) is nontrivial if and only if -[] belongs to a finite subset
of H
1(G/,) defined in terms of the Lie algebra
.Translated from Matematicheskie Zametki, vol. 77, no. 1, 2005, pp. 67–79.Original Russian Text Copyright © 2005 by D. V. Millionshchikov.This revised version was published online in April 2005 with a corrected issue number. 相似文献
15.
G. V. Radzievskii 《Ukrainian Mathematical Journal》1994,46(5):581-603
We study the minimality of elementsx
h,j,k
of canonical systems of root vectors. These systems correspond to the characteristic numbers
k
of operator functionsL() analytic in an angle; we assume that operators act in a Hilbert space
. In particular, we consider the case whereL()=I+T()c, >0,I is an identity operator,C is a completely continuous operator, (I- C)–1c for ¦arg¦, 0<<, the operator functionT() is analytic, and T()c for ¦arg¦<. It is proved that, in this case, there exists >0 such that the system of vectorsC
v
x
h,j,k
is minimal in
for arbitrary positive <1+, provided that ¦k¦>.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 5, pp. 545–566, May, 1994.This research was partially supported by the Ukrainian State Committee of Science and Technology. 相似文献
16.
Let G be a finite permutation group on a set with no fixed points in and let m and k be integers with 0 < m < k. For a finite subset of the movement of is defined as move() = maxgG| g \ |. Suppose further that G is not a 2-group and that p is the least odd prime dividing |G| and move() m for all k-element subsets of . Then either || k + m or k (7m – 5) / 2, || (9m – 3)/2. Moreover when || > k + m, then move() m for every subset of . 相似文献
17.
A. V. Pazhitnov 《K-Theory》1996,10(4):323-412
Let M be a closed connected smooth manifold with dim M=n6, and :
1(M) Z be an epimorphism. Denote by the group ring of
1(M) and let
–
be its Novikov completion. Let D
* be a free-based finitely generated chain complex over
–
. Assume that D
ii=0 for i1 and in–1 and that D
* has the same simple homotopy type as the Novikov-completed simplicial chain complex of the universal covering M. Let N be an integer. We prove that D
* can be realized, up to the terms of
–
of degree N as the Novikov complex of a Morse map : M S
1, belonging to . Applications to Arnold's conjectures and to the theory of fibering of M over S
1 are given. 相似文献
18.
N. I. Fel'dman 《Mathematical Notes》1969,5(6):408-412
Let ln 1, ..., ln m–1 be the logarithms of fixed algebraic numbers which are linearly independent over the field of rational numbers, b1, ..., bm–1 rational integers, > 0. A bound from below is deduced for the height of the algebraic number m under the condition that ¦b1 ln 1+...+bm–1ln m– ¦ < exp {–H},H=max ¦ b
k
¦ >0.Translated from Matematicheskie Zametki, Vol. 5, No. 6, pp. 681–689, June, 1969. 相似文献
19.
We obtain the analytic expression for the total cross section of the reaction e
–
e
+l
–
l
+ (l=,) taking possible quasianapole interaction effects into account. We find numerical restrictions on the interaction parameter value from data for the reaction e
–
e
+–+ in the energy domain below the Z
0 peak. 相似文献
20.
E. G. Emel'yanov 《Journal of Mathematical Sciences》1987,38(4):2090-2098
In the class F1 of functions f(), regular and univalent in the annulus ={<||<1} and satisfying the conditions ¦f()¦ < 1 and f() 0 for , ¦f()¦=1 ¦¦=1, for f(l)=1, one finds the set of the values D(A)=f(A): f for an arbitrary fixed point A. One makes use of the method of variations and certain facts from the theory of the moduli of families of curves.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 144, pp. 82–92, 1985. 相似文献