共查询到20条相似文献,搜索用时 31 毫秒
1.
There are described the subgroups of the general symplectic group =GSp(2n, R) over a commutative semilocal ring R, containing the group of symplectic diagonal matrices. For each such subgroup P there is uniquely defined a symplectic D-net a such that ()pN(), where () is the net subgroup in corresponding to (cf. RZhMat, 1977, 5A288), and N() is its normalizer. The quotient group N × ()/() is calculated. There are also considered subgroups in Sp(2n, R). Analogous results for subgroups of the general linear group were obtained earlier in RZhMat, 1978, 9A237.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 103, pp. 31–47, 1980. 相似文献
2.
Rudolf Grübel 《Annals of the Institute of Statistical Mathematics》1994,46(1):67-75
Given a sequence of independent random variables with densityf we estimate quantities of the form = (f(x))dx, a known function, by inserting histograms and kernel density estimators for the unknownf. We obtain conditions for consistency and asymptotic normality and discuss the choice of cell size and bandwidth. 相似文献
3.
Dr. Alexander Kovačec 《Monatshefte für Mathematik》1981,92(1):19-35
We shall develop a method to prove inequalities in a unified manner. The idea is as follows: It is quite often possible to find a continuous functional :
n
, such that the left- and the right-hand side of a given inequality can be written in the form (u)(v) for suitable points,v=v(u). If one now constructs a map
n
n
, which is functional increasing (i.e. for each x
n
(which is not a fixed point of ) the inequality (x)<((x)) should hold) one specially gets the chain (u)(
u))(
2(u))...
n
(u)). Under quite general conditions one finds that the sequence {
n
(u)}
n converges tov=v(u). As a consequence one obtains the inequality (u)(v). 相似文献
4.
Gert K. Pedersen 《Inventiones Mathematicae》1978,45(3):299-305
For each*-derivation of a separableC
*-algebraA and each >0 there is an essential idealI ofA and a self-adjoint multiplierx ofI such that (–ad(ix))|I< and x. 相似文献
5.
Edwin Perkins 《Probability Theory and Related Fields》1981,56(2):255-281
Summary D. Gilat has shown that any non-negative submartingale (X, .) is equal in law to the absolute value of a martingale (M, .). This result may be strenthened so that the pairs (X,.) and (¦M¦,.) are synonomous. In this paper the question of uniqueness of M is considered. Conditions on a local martingale (M, .) are found that lead to an explicit formula for the finite-dimensional distributions of M in terms of the Doob-Meyer decomposition of the local martingale X. In many cases of interest the conditions on M are unnecessary. For example, if X is the pth power of an Itô integral it is shown that (M) is unique if p> 1 but not in general if p=1. 相似文献
6.
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
7.
John S. Caughman IV 《Journal of Algebraic Combinatorics》2002,15(3):223-229
Let denote a bipartite distance-regular graph with diameter D 3 and valency k 3. Suppose 0, 1, ...,
D
is a Q-polynomial ordering of the eigenvalues of . This sequence is known to satisfy the recurrence
i – 1 –
i
+
i + 1 = 0 (0 > i > D), for some real scalar . Let q denote a complex scalar such that q + q
–1 = . Bannai and Ito have conjectured that q is real if the diameter D is sufficiently large.We settle this conjecture in the bipartite case by showing that q is real if the diameter D 4. Moreover, if D = 3, then q is not real if and only if 1 is the second largest eigenvalue and the pair (, k) is one of the following: (1, 3), (1, 4), (1, 5), (1, 6), (2, 4), or (2, 5). We observe that each of these pairs has a unique realization by a known bipartite distance-regular graph of diameter 3. 相似文献
8.
А. А. Соляник 《Analysis Mathematica》1986,12(1):59-75
H
P
(R
+
2
) — R
+
2
={zC: Imz>0}
p
(R) — H
p
(R
+
2
). P
k
(f,x) — ë- — ,W
k
(f,x) — — R
k,
(f,x) — f H
(R) (. §1,1)–3));
k
(, f)
p
— - . , fH
p
(R) 0<p1,kN; (1+)–1<p1, 0<<,kN. 相似文献
9.
Eberhard M. Schröder 《Journal of Geometry》1981,16(1):56-62
Let V be a vector space over the commutative field K such that char K 2 2 dim V , and let Q:V K be a quadratic form of rank 2. The pair (A(V,K),Q), consisting of the affine space A(V,K) and the congruence relation Q, defined by (a,b)Q (c,d) Q(a–b) = Q(c–d) (a,b),(c,d) V×V, is called an affine-metric fano-space of rank 2. In this paper, such spaces are characterized by three simple geometrical properties. 相似文献
10.
Wolfgang Grotz 《Monatshefte für Mathematik》1979,88(3):219-228
LetK be an algebraic number field, and for every integer K let () andd(), respectively, denote the number of relatively prime residue classes and the number of divisors of the principal ideal (). Asymptotic equalities are proved for the sums () and d
2(), where runs through certain finite sets of integers ofK. 相似文献
11.
Summary A class of stochastic evolution equations with additive noise and weakly continuous drift is considered. First, regularity properties of the corresponding Ornstein-Uhlenbeck transition semigroupR
t are obtained. We show thatR
t is a compactC
0-semigroup in all Sobolev spacesW
n,p which are built on its invariant measure . Then we show the existence, uniqueness, compactness and smoothing properties of the transition semigroup for semilinear equations inL
p() spaces and spacesW
1,p
. As a consequence we prove the uniquencess of martingale solutions to the stochastic equation and the existence of a unique invariant measure equivalent to . It is shown also that the density of this measure with respect to is inL
p() for allp1.This work was done during the first author's stay at UNSW supported by ARC Grant 150.346 and the second author's stay at ód University supported by KBN Grant 2.1020.91.01 相似文献
12.
E. A. Riss 《Journal of Mathematical Sciences》1992,61(1):1907-1911
The fundamental result: if and v are two finite Borel measures, defined in the spaceL
p[0, 1] (1p<) or in C(K) (K is a metric compactum without isolated points), then from the equalities (B)=v(B) for all balls B of radius 1 there follows that =v. In addition, in the spaces C(K) and p (1p<) from the inequalities (B) v(B) there follows that v.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova Akademii Nauk SSSR, Vol. 177, pp. 122–128, 1989. 相似文献
13.
The Bochner-Riesz means of order 0 for suitable test functions on
N
are defined via the Fourier transform by
. We show that the means of the critical index
, do not mapL
p,(
N
) intoL
p,(
N
), but they map radial functions ofL
p,(
N
) intoL
p,(
N
). Moreover, iff is radial and in theL
p,(
N
) closure of test functions,S
R
f(x) converges, asR+, tof(x) in norm and for almost everyx in
N
. We also observe that the means of the function|x|
–N/p, which belongs toL
p,(
N
) but not to the closure of test functions, converge for nox. 相似文献
14.
A. G. Areshkina 《Mathematical Notes》1998,64(2):154-158
On a measurable space (T, , ) we choose an additive measure: Z (Z is a Banach space) with the following property: for alle , we have
; this measure defines an indefinite integral over the measure onL
2
(T, ,). We prove that if {
n
(t)}
n
=1/
is an orthonormal basis inL
2 and
n
(e)=e
n
(t) d, then any additive measure: Z whose Radon-Nikodým derivatived/d belongs toL
2 is uniquely expandable in a series(e)=
n
=1/
n
n(e) that converges to(e) uniformly with respect toe can be differentiated term-by-term, and satisfies
n
=1/
n
/2
<. In the caseL
2[0,2],Z=, the Fourier series of a 2-periodic absolutely continuous functionF(t) such thatF'(t) L
2[0, 2] is superuniformly convergent toF(t).Translated fromMatematicheskie Zametki, Vol. 64, No. 2, pp. 180–184, August, 1998. 相似文献
15.
P. Révész 《Probability Theory and Related Fields》1992,93(1):21-37
Summary We say that the discD()R
2, of radius , located around the origin isp-covered in timeT by a Wiener processW(·) if for anyzD() there exists a 0tT such thatW(t) is a point of the disc of radiusp, located aroundz. The supremum of those 's (0) is studied for which,D() isp-covered inT. 相似文献
16.
Let (x) stand for the number of primes not exceedingx. In the present work it is shown that if 23/421,yx
andx>x() then (x)–(x–y)>y/(100 logx). This implies for the difference between consecutive primes the inequalityp
n+1–p
n
p
n
23/42
. 相似文献
17.
Summary
Let a regular open set of
R
n, a measure with compact support and L a second order elliptic operator in divergence form. If L is coercive we prove a theorem of existence and uniqueness for the solution of Lu=, uH
0
1+H0
1,p()where p is the conjugate of p[n, ]. 相似文献
18.
Letp be an odd prime and
the finite field withp elements. In the present paper we shall investigate the number of points of certain quadratic hypersurfaces in the vector space
and derive explicit formulas for them. In addition, we shall show that the class number of the real quadratic field
(wherep1 (mod 4)) over the field of rational numbers can be expressed by means of these formulas. 相似文献
19.
Živorad Tomovski 《Analysis Mathematica》2003,29(2):165-170
In this paper equivalent classes of the classes M'
and S'
p
r, p >1, 0,r {0,1,2,...,[]} defined by Sheng [5] are obtained. Then it is shown that the classes of Fourier coefficients S
p, S'
p(case r==0) and S
p(), p>1, defined by . V. Stanojevi, V. B. Stanojevi Sheng and the author of the present note are identical. As a corollary of this result, the L
1-estimate for cosine series, obtained in [10], is refined. 相似文献
20.
On the almost everywhere convergence of ergodic averages for power-bounded operators on LP-subspaces
Earl Berkson Jean Bourgain T. A. Gillespie 《Integral Equations and Operator Theory》1991,14(5):678-715
Let X be a closed subspace of LP(), where is an arbitrary measure and 1
A(n) and (n) denote the discrete ergodic averages and Hilbert transform truncates defined by U. We extend to this setting the -a. e. convergence criteria forA(n) and (n) which V. F. Gaposhkin and R. Jajte introduced for unitary operators on L2(). Our methods lift the setting from X to p, where classical harmonic analysis and interpolation can be applied to suitable square functions. 相似文献