共查询到10条相似文献,搜索用时 187 毫秒
1.
Jinchao Liu Fengnian Pu Hankui Liu Jianjun Guo Yansong Cheng Xiangdong Yang 《中国科学A辑(英文版)》1999,42(10):1081-1088
The differential cross sections and angular distribution parameter of the photoionization processes 2p 63s→ 2p 53skl of atomic Na have been calculated by using many-body perturbation theory. In the calculation, the resonant structure of the excitation process 2s→3p has been included. The electron correlation interaction was analyzed by using the effective diagram method. The summation of specific classes of these diagrams is to an infinite order. The results of calculations are compared with experimental data, which are in good agreement with the experiment. 相似文献
2.
We investigate the joint weak convergence (f.d.d. and functional) of the vector-valued process (U
n
(1)
(τ), U
n
(2)
(τ)) for τ ∈ [0, 1], where
and
are normalized partial-sum processes separated by a large lag m, m/n → ∞, and (X
t
, t ∈ ℤ) is a stationary moving-average process with i.i.d. (or martingale-difference) innovations having finite variance. We
consider the cases where (X
t
) is a process with long memory, short memory, or negative memory. We show that, in all these cases, as n → ∞ and m/n → ∞, the bivariate partial-sum process (U
n
(1)
(τ), U
n
(2)
(τ)) tends to a bivariate fractional Brownian motion with independent components. The result is applied to prove the consistency
of certain increment-type statistics in moving-average observations.
This work supported by the joint Lithuania-French research program Gilibert.
__________
Translated from Lietuvos Matematikos Rinkinys, Vol. 45, No. 4, pp. 479–500, October–December, 2005. 相似文献
3.
Hans Triebel 《Annali di Matematica Pura ed Applicata》1977,113(1):33-42
Summary Let A be either B
p,
qs
or F
p,
qs
, where - ∞<s <∞; 0<p, q≦∞ (spaces of Besov-Hardy-Sobolev type, defined on Rn). (i) If g ∈C
ϱ (H?lder-Zygmund spaces), then f → gf is a bounded operator from A into A, provided that ϱ=ϱ(s, p, q, n) is large enough.
(ii) There are given sufficient conditions for s, p, and q ensuring that A is a subalgebra of C (space of uniformly continuous
bounded functions on Rn).
Entrata in Redazione il 17 marzo 1976. 相似文献
4.
J. O. C. Ezeilo 《Annali di Matematica Pura ed Applicata》1971,88(1):135-142
Summary Consider the equation(1.2) in which a1, a2, ..., an−1 are constants and the functions fn(x) and p(t) (both continuous) together with
are all bodnded. A recent investigation by Reissig[1] shows that if fn(x)sgn x>0 (|x|≥h>0) then subject to certain conditions, which are stated explicitly in[1], the solutions of such an equation(1.2) are all ultimately bounded The object of the psesent paper is to generalize that result to the equation(1.1) in which φn is a bounded function depending on all the variables shown, and each coefficient ϕi (i=2,3,..., n−1) satisfies
as |ζ|→∞ for some constant ai.
Entrata in Redazione il 20 agosto 1970. 相似文献
5.
Jerome A. Goldstein 《Semigroup Forum》1996,52(1):37-47
Of concern are semigroups of linear norm one operators on Hilbert space of the form (discrete case)T={T
n
/n=0,1,2,...} or (continuous case)T={T(t)/t=≥0}. Using ergodic theory and Hilbert-Schmidt operators, the Cesàro limits (asn→∞) of |〈T
n
f,f〉|2, |〈T
(n)f,f〉|2 are computed (withn∈ℤ+ orn∈ℤ+). Specializing the Hilbert space to beL
2(T,μ) (discrete case) orL
2(ℝ,μ) (continuous case) where μ is a Borel probability measure on the circle group or the line, the Cesàro limit of
(asn→±∞, with,n∈ℤ orn∈ℝ) is obtained and interpreted. Extensions toT
M
, and ℝ
M
are given. Finally, we discuss recent operator theoretic extensions from a Hilbert to a Banach space context.
Partially supported by an NSF grant 相似文献
6.
We show that there is a function α(r) such that for each constantr≧3, almost everyr-regular graph onn vertices has a hole (vertex induced cycle) of size at least α(r)n asn→∞. We also show that there is a function β(c) such that forc>0 large enough,G
n, p
,p=c/n almost surely has a hole of size at least β(c)n asn→∞. 相似文献
7.
Let Ω be a bounded co.nvex domain in Rn(n≥3) and G(x,y) be the Green function of the Laplace operator -△ on Ω. Let hrp(Ω) = {f ∈ D'(Ω) :(E)F∈hp(Rn), s.t. F|Ω = f}, by the atom characterization of Local Hardy spaces in a bounded Lipschitz domain, the bound of f→(△)2(Gf) for every f ∈ hrp(Ω) is obtained, where n/(n 1)<p≤1. 相似文献
8.
Letf(t) = ∑a
k
e
ikt
be infinitely differentiable on R, |f(t)|<1. It is known that under these assumptions ‖n‖ converges to a finite limitl asn → ∞ (l
2 = sec(arga),a = (f′(0))2 -f″(0)). We obtain here more precise results: (i) an asymptotic series (in powers ofn
-1/2) for the Fourier coefficientsa
nk
off
n
, which holds uniformly ink asn → ∞; (ii) an asymptotic series (this time only powers ofn
-1 are present!) for ‖f
n
‖; (iii) the fact that ifi
j
f
(j)(0) is real forj = 1,2,..., 2h + 2 then ‖f
n
‖ = l + o(n
-h
),n → ∞. More generally, we obtain analogous finite asymptotic expansions whenf is assumed to be differentiable only finitely many times. 相似文献
9.
Zhou Songping 《分析论及其应用》1989,5(1):11-14
In 1980, M. Hasson raised a conjecture as follows: Let N≥1, then there exists a function f0(x)∈C
[−1,1]
2N
, for N+1≤k≤2N, such that p
n
(k)
(f0,1)→f
0
(k)
(1), n→∞, where pn(f,x) is the algebraic polynomial of best approximation of degree ≤n to f(x). In this paper, a, positive answer to this conjecture
is given. 相似文献
10.
We present a short and direct proof (based on the Pontryagin-Thom construction) of the following Pontryagin-Steenrod-Wu theorem:
(a) LetM be a connected orientable closed smooth (n + 1)-manifold,n≥3. Define the degree map deg: π
n
(M) →H
n
(M; ℤ) by the formula degf =f*[S
n
], where [S
n
] εH
n
(M; ℤ) is the fundamental class. The degree map is bijective, if there existsβ εH
2(M, ℤ/2ℤ) such thatβ ·w
2(M) ε 0. If suchβ does not exist, then deg is a 2-1 map; and (b) LetM be an orientable closed smooth (n+2)-manifold,n≥3. An elementα lies in the image of the degree map if and only ifρ
2
α ·w
2(M)=0, whereρ
2: ℤ → ℤ/2ℤ is reduction modulo 2. 相似文献