共查询到20条相似文献,搜索用时 31 毫秒
1.
Paolo Codecà 《Annali dell'Universita di Ferrara》1981,27(1):229-244
Riassunto Siaf(x) una funzione periodica di periodo 1 ed a variazione limitata. Nel presente lavoro si dimostrano risultati diB
2 quasi periodicità per convoluzioni aritmetiche del tipo
dove la successione
soddisfa opportuna ipotesi. I risultati ottenuti si possono applicare ai resti di certe funzioni fortemente moltiplicative.
Summary Letf(x) be a periodic function with period 1 and of bounded variation. In this paper we prove results ofB 2 almost periodicity for arithmetical convolutions of the type , where the sequence satisfies certain conditions. The results obtained can be applied to the remainder term of strongly multiplicative functions.相似文献
2.
Let
be a nondecreasing sequence of positive numbers and let l
1,α be the space of real sequences
for which
. We associate every sequence ξ from l
1,α with a sequence
, where ϕ(·) is a permutation of the natural series such that
, j ∈ ℕ. If p is a bounded seminorm on l
1,α and
, then
Using this equality, we obtain several known statements.
__________
Translated from Ukrains'kyi Matematychnyi Zhurnal, Vol. 57, No. 7, pp. 1002–1006, July, 2005. 相似文献
3.
Given a semi-convex functionu: ω⊂R
n→R and an integerk≡[0,1,n], we show that the set ∑k defined by
相似文献
4.
Let A be a Noetherian local ring and I an ideal of A. In this paper we use a slightly generalized notion of a symbolic power
I(n) of I and considerR =
. First we characterize the property of R to be Noetherian by an equimultiplicity condition of some symbolic power I(k). The main purpose of this note is to explore the problem whenR,R′ =
and
are Cohen-Macaulay or Gorenstein algebras in the case that A is a normal domain and ht I=1.
Partially supported by the Max-Planck-Institute of Mathematics Bonn.
Supported by a grant of the Heinrich Hertz-Stiftung.
Supported by a grant of the Alexander von Humboldt-Stiftung. 相似文献
5.
R. K. Bullough N. M. Bogolyubov R. R. Puri 《Theoretical and Mathematical Physics》2000,122(2):151-169
The time-dependent quantum Hamiltonians
6.
Yasunori Fujikoshi Yoshimichi Ochi 《Annals of the Institute of Statistical Mathematics》1984,36(1):119-128
Summary In this paper we obtain an asymptotic expansion of the distribution of the maximum likelihood estimate (MLE)
based onT observations from the first order Gaussian process up to the term of orderT
−1. The expansion is used to compare
with a generalized estimate
including the least square estimate (LSE)
, based on the asymptotic probabilities around the true value of the estimates up to the terms of orderT
−1. It is shown that
(or the modified MLE
) is better than
(or the modified estimate
). Further, we note that
does not attain the bound for third order asymptotic median unbiased estimates. 相似文献
7.
Steven G. Krantz 《Commentarii Mathematici Helvetici》1981,56(1):136-141
Let 0<p<∞. LetH
p (R
n) be the real variable Hardy spaces defined by Stein and Weiss. Let Lp(R
n) be the usual Lebesgue space. It is shown that forf∈L
p there is an
with the distribution functions of |f| and
identical and
. The converse is trivially true.
Research partially supported by NSF Grant #MCS77-02213. 相似文献
8.
9.
Precise estimate of total deficiency of meromorphic derivatives 总被引:7,自引:0,他引:7
Lo Yang 《Journal d'Analyse Mathématique》1990,55(1):287-296
Let f(z) be a transcendental meromorphic function in the finite plane andk be a positive integer. Then we have
. Moreover, if the order of f(z) is finite, then we also have
, where δ(a, f(k)) denotes the deficiency of the valuea with respect to f(k) and θ(∞,f) is the ramification index of ∞ with respect tof. 相似文献
10.
Wlodzimier Greblicki Miroslaw Pawlak 《Annals of the Institute of Statistical Mathematics》1985,37(1):443-454
Summary In the paper we estimate a regressionm(x)=E {Y|X=x} from a sequence of independent observations (X
1,Y
1),…, (X
n, Yn) of a pair (X, Y) of random variables. We examine an estimate of a type
, whereN depends onn andϕ
N is Dirichlet kernel and the kernel associated with the hermite series. Assuming, that E|Y|<∞ and |Y|≦γ≦∞, we give condition for
to converge tom(x) at almost allx, provided thatX has a density. if the regression hass derivatives, then
converges tom(x) as rapidly asO(nC−(2s−1)/4s) in probability andO(n
−(2s−1)/4s logn) almost completely. 相似文献
11.
Aleksandar Ivić 《Central European Journal of Mathematics》2005,3(2):203-214
Let Δ(x) denote the error term in the Dirichlet divisor problem, and E(T) the error term in the asymptotic formula for the mean square of
. If E
*(t)=E(t)-2πΔ*(t/2π) with
, then we obtain
12.
Ibrahim A. Ahmad 《Annals of the Institute of Statistical Mathematics》1980,32(1):223-240
LetF andG denote two distribution functions defined on the same probability space and are absolutely continuous with respect to the
Lebesgue measure with probability density functionsf andg, respectively. A measure of the closeness betweenF andG is defined by:
. Based on two independent samples it is proposed to estimate λ by
, whereF
n
(x) andG
n
(x) are the empirical distribution functions ofF(x) andG(x) respectively and
and
are taken to be the so-called kernel estimates off(x) andg(x) respectively, as defined by Parzen [16]. Large sample theory of
is presented and a two sample goodness-of-fit test is presented based on
. Also discussed are estimates of certain modifications of λ which allow us to propose some test statistics for the one sample
case, i.e., wheng(x)=f
0
(x), withf
0
(x) completely known and for testing symmetry, i.e., testingH
0:f(x)=f(−x). 相似文献
13.
We obtain a set of necessary and sufficient conditions for
to imply
for 1 <k ≤ s < ∞. Using this result we establish several inclusion theorems as well as conditions for the equivalence of
and
. 相似文献
14.
For measuresμ on the circleT the quantities
,
need not be equal; it is shown, however, that they are continuous with respect to each other whenμ varies on bounded subsets ofM(T), the space of measures onT. It is also shown that measuresμ which areɛ-almost idempotent (i.e.
) are the sum of an idempotent measure and of a measureυ satisfying
providedɛ is small enough (as a function of ‖μ‖). 相似文献
15.
Zoé Chatzidakis 《Israel Journal of Mathematics》1986,55(2):173-183
LetK be a hilbertian field,G(K) its absolute Galois group. IfK is countable, then for a.a.
inG(K)
e
,
and there is no intermediate field
with
. Let
∈G(K)
e
. Then for a.a.
in
. 相似文献
16.
17.
Summary Let
be a sequence of independent identically distributed random variables withθ
1∼G and the conditional distribution ofx
1 givenθ
1=θ given by
. HereG is unknown andF
θ(·) is known. This paper provides estimators
ofG based onx
1, …,x
n such that the random variable sup
has an asymptotic distribution asn→∞ under certain on conditionsG and for certain choices ofF
θ. A simulation model has been discussed involving the uniform distribution on (0, θ) forF
θ and an exponential distribution forG.
Research supported by the National Science Foundation under Grant #MCS77-26809. 相似文献
18.
In studying local harmonic analysis on the sphere Sn, R.S. Strichartz introduced certain zonal functions ϕ2(d(x, y)) which satisfy the equation
, where Δz is the Laplace operator and δ−y the Dirac measure. The explicit expression of the constant a (λ) is given by R.S. Strichartz in the case that n is odd. Appyling
the Apéry identity, we show in this paper that
for n even, where wn-1 is the surface area of Sn-1,
.
The author's research was supported by a grant from NSFC. 相似文献
19.
We extend the results for 2-D Boussinesq equations from ℝ2 to a bounded domain Ω. First, as for the existence of weak solutions, we transform Boussinesq equations to a nonlinear evolution
equation U
t
+ A(t, U) = 0. In stead of using the methods of fundamental solutions in the case of entire ℝ2, we study the qualities of F(u, υ) = (u · ▽)υ to get some useful estimates for A(t, U), which helps us to conclude the local-in-time existence and uniqueness of solutions. Second, as for blow-up criterions,
we use energy methods, Sobolev inequalities and Gronwall inequality to control
and
by
and
. Furthermore,
can control
by using vorticity transportation equations. At last,
can control
. Thus, we can find a blow-up criterion in the form of
.
相似文献
20.
P. Koteeswaran K. Nanthi K. Suresh Chandra 《Annals of the Institute of Statistical Mathematics》1985,37(1):409-414
Summary LetX=(X
n; n≧0,X
0=1) be a supercritical Galton-Watson process. The limiting distribution of
) where
is the m.l.e. of the offspring mean, is derived. As an application of this result, some limit theorems leading ultimately
to a parameter free result of statistical interest, are also established. 相似文献
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