共查询到20条相似文献,搜索用时 31 毫秒
1.
L. D. Gogoladze 《Mathematical Notes》1972,11(2):93-96
It is proved that for anyf(x, y) L(R), where R=[-,,-, ], a function (x, y), exists such that ¦(x, y) ¦=¦f(x, y) ¦ for almost all (x, y) R. The Fourier series of the function (x, y) and all conjugate trigonometric series are A*-summable almost everywhere.Translated from Matematicheskie Zametki, Vol. 11, No. 2, pp. 145–150, February, 1972. 相似文献
2.
A. V. Shapovalovskii 《Ukrainian Mathematical Journal》1991,43(12):1492-1500
The topic under consideration is the behavior on the rays arg z=, ¦¦ < /2, of an entire function F represented by a Dirichlet series, absolutely convergent in the whole plane, with exponents n > 0 such that n=
, n +, where q(r) is a proximate order and
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 43, No. 12, pp. 1603–1613, December, 1991. 相似文献
3.
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
4.
L. Kh. Burshtein 《Mathematical Notes》1969,6(4):705-709
Let a, a0, a, be a fixed point in the z-plane, (a, 0, ), the class of all systemsf
k()l
3 of functions z=f
k(), k=1, 2, 3, of which the first two map conformally and in a s ingle-sheeted manner the circle ¦¦<1, and the third maps in a similar manner the region ¦¦>1, into pair-wise nonintersecting regions Bk, k=1, 2, 3, containing the points a, 0, and , respectively, so thatf
1(0)=a,f
2(0)=0 andf
3()=. The region of values (a, 0, ) of the system M(¦f
1'(0)¦, ¦f
2'(0)¦, 1/¦f
3'()¦) in the class (a, 0, ) is determined.Translated from Matematicheskie Zametki, Vol. 6, No. 4, pp. 417–424, October, 1969. 相似文献
5.
Andrea Laforgia Martin E. Muldoon 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》1988,39(2):267-271
Summary We show, among other things, that the positive zeros of a solution ofy
+x
y=0,y(0)=0 decrease to 1 as increases, 0.
To the memory of Milo Háik
This research was supported by grants from the Natural Sciences and Engineering Research Council (Canada) and Consiglio Nazionale delle Ricerche (Italy). Some of the work was done while the second-named author was visiting the Department of Mathematics, University of Torino. 相似文献
Sommario Si dimostra, tra l'altro, che gli zeri positivi d'una soiuzione diy +x y=0,y(0)=0 decrescono al limite 1, quando cresce, 0.
To the memory of Milo Háik
This research was supported by grants from the Natural Sciences and Engineering Research Council (Canada) and Consiglio Nazionale delle Ricerche (Italy). Some of the work was done while the second-named author was visiting the Department of Mathematics, University of Torino. 相似文献
6.
Summary LetC be the symmetric cusp {(x, y)2:–x
yx
,x0} where >1. In this paper we decide whether or not reflecting Brownian motion inC has a semimartingale representation. Here the reflecting Brownian motion has directions of reflection that make constant angles with the unit inward normals to the boundary. Our results carry through for a wide class of asymmetric cusps too. 相似文献
7.
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
8.
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
9.
K. V. Shakhbazyan 《Journal of Mathematical Sciences》1985,29(6):1677-1699
The solution of the following problems is offered. Suppose a multiset J (¦J¦=p) is given. For each pair of elements and J, a number 1 P is given. Moreover, if 1 < x<p then x is undefined. If x=1, then x=p. Problem 1. Find the permutation 1...F of elements of the multiset J satisfying the following conditions. Let i, i=. If i,j < x, thenj <i. If i,j > x, then i<j. Such a permutation is called a PC-schedule. Problem 2. Find a PC-schedule in which the following property holds: if i < x < j, i=, j=, then. Such a PC-schedule is called an SC-schedule. The conditions under which these problems have solutions are studied. For their solution an algorithm of shifts is used with the complexity O(¦B(J)¦2¦J¦).Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 124, pp. 44–72, 1983. 相似文献
10.
We establish conditions under which the relation M(x, F) (x, F) m(x, F) holds except for a small set, as ¦x¦ + for an entire function F(z) of several complex variables z (p2) represented by a Dirichlet series, where M(x, F) = sup{¦F(x+iy¦: y p}, m(x, F) = inf{¦F(x+iy)¦: y p} (x, F) being the maximal term of the Dirichlet series, and x p.Translated fromMatematichni Metodi ta Fiziko-Mekhanichni Polya, Vol. 40, No. 4, 1997, pp. 21–25. 相似文献
11.
All finite fields
q (q 2, 3, 4, 5, 7, 9, 13, 25, 121) contain a primitive element for which + 1/ is also primitive. All fields of square order
q
2 (q 3, 5) contain an element of order q + 1 for which + 1/ is a primitive element of the subfield
q. These are unconditional versions of general asymptotic results. 相似文献
12.
U — [0, 1] Y — . X=[1–U
1/v
/Y], U Y. 相似文献
13.
D. J. Daley 《Probability Theory and Related Fields》1981,58(2):199-203
Summary The sum a
n
X
n
of a weighted series of a sequence {X
n
} of identically distributed (not necessarily independent) random variables (r.v.s.) is a.s. absolutely convergent if for some in 0<1, ¦a
n
¦ < and E¦X
n
¦ < ; if a
n
=z
n
for some ¦z¦<1 then it suffices that E(log¦X
n
¦)+<. Examples show that these sufficient conditions are not necessary. For mutually independent {X
n
} necessary conditions can be given: the a.s. absolute convergence of X
n
z
n
(all ¦z¦<1) then implies E(log¦X
n
¦)+ < , while if the X
n
are non-negative stable r.v.s. of index , ¦a
n
X
n
¦< if and only if ¦a
n
¦ < . 相似文献
14.
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
15.
We construct an asymptotic formula for a sum function for
a
(), where
a
() is the sum of the ath powers of the norms of divisors of the Gaussian integer on an arithmetic progression 0 (mod ) and in a narrow sector 1 arg < 2. For this purpose, we use a representation of
a
(n) in the form of a series in the Ramanujan sums. 相似文献
16.
L r 1 k/n W
p
r+1
p<) 2- f(t), f
(r)(t)
, a
. , W
p
r+1
, =1 W
L
r+1
2n- L. 相似文献
17.
Let (E, ¦·¦) be a uniformly convex Banach space with the modulus of uniform convexity of power type. Let be the convolution of the distribution of a random series inE with independent one-dimensional components and an arbitrary probability measure onE. Under some assumptions about the components and the smoothness of the norm we show that there exists a constant such that |{·<t}–{·+r<t}|r
q
, whereq depends on the properties of the norm. We specify it in the case ofL
spaces, >1. 相似文献
18.
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
19.
We investigate the motion of high-energy particles in a crystal with regard to their interaction with the thermal vibrations of the lattice atoms using analytic methods in the theory of Markov processes including the local Fokker–Planck equation. We construct a local matrix of random actions, which is used to introduce the main kinetic functions in the traverse-energy space, namely, the function a() of energy losses due to the dynamic friction and the diffusion function b(). We show that the singularities of the functions a() and b() are related to the distinction between the contributions to the kinetics from particles moving in three different regimes, namely, in the channeling, quasichanneling, and chaotic motion modes. 相似文献
20.
Gianni Dal Maso 《Annali di Matematica Pura ed Applicata》1981,129(1):327-366
Summary In this paper we study the asymptotic behaviour (as h) of the solutions of minimum problems for the functional [¦Du¦2+g(x, u)]dx with bilateral obstacles of the type huh, where h and h are sequences of arbitrary functions fromR
n into ¯R. 相似文献