共查询到20条相似文献,搜索用时 62 毫秒
1.
Gábor Czédli 《Order》1994,11(4):391-395
The quasiorders of a setA form a lattice Quord(A) with an involution –1={x, y: y, x}. Some results in [1] and Chajda and Pinus [2] lead to the problem whether every lattice with involution can be embedded in Quord(A) for some setA. Using the author's approach to the word problem of lattices (cf. [3]), which also applies for involution lattices, it is shown that the answer is negative.Research supported by the Hungarian National Foundation for Scientific Research (OTKA), under grant no. T 7442. 相似文献
2.
B. L. S. Prakasa Rao 《Mathematical Notes》1977,22(5):914-916
Let and be independent random variables having equal variance. In order that + and – be independent, it is necessary and sufficient that and have normal distributions. This result of Bernshtein [1] is carried over in [7] to the case when and take values in a locally compact Abelian group. In the present note, a characterization of Gaussian measures on locally compact Abelian groups is given in which in place of + and –, functions of and are considered which satisfy the associativity equation.Translated from Matematicheskie Zametki, Vol. 22, No. 5, pp. 759–762, November, 1977. 相似文献
3.
Jürgen Tölke 《Journal of Geometry》1996,56(1-2):182-189
It is known by H. Sachs [5] that the classical curve theorem of ABRAMESCU also holds in isotropic geometry. Generalising an idea due to O. Röschel [2] we regard all inscribed parabolas (s, t) of a triangle (t). This triangle is formed by the tangents of three neighbouring points of a C -curve k(t) in an isotropic plane. Let U((t)) be the circumcircle of (t) and I((t)) the incircle of the triangle (t) whose midpoints of the sides are the vertices of (t). The circle U((t)) is the locus of the isotropic focal points of (s, t) and the incircle I((T)) the envelope of the isotropic axes of (s, t). We prove that the ABRAMESU-circle — lim U((t)) — is identical with the locus of the focal points of lim (s, t) and the circle lim I((t)) with the envelope of the axes of lim (s, t). The characteristic points, different from k(t), of the circles lim U((t)) and lim I((t)) determine the direction of the affine-normal of k(t).Herrn Professor Helmut Mäurer zum 60. Geburtstag gewidmet 相似文献
4.
Karl -Ernst Biebler 《Analysis Mathematica》1989,15(2):75-104
5.
Jean Legras 《Numerische Mathematik》1966,8(1):14-28
Sommaire La solution stricte d'un système différentiel linéaire à coefficients constants [d /d t] = [A] [] + [f (t) ] est donnée par: [ (t)]= [eAt] [ (0) ] + f [eA(t–)] [f (T) ] d .Cette relation, utilisée dans une méthode de pas à pas, permet le calcul de [(t+u)] en fonction de [(t)]. La mise en oeuvre numérique de cette formule nécessite le calcul de [eA] et de l'intégrale de matrice du second membre.Le sujet de cette étude est la mise au point de techniques d'approximation permettant le calcul effectif de [e
Aµ] et de l'intégrale de matrice par des méthodes qui peuvent s'adapter en particulier aux systèmes différentiels à très grand nombre d'inconnues, qui apparaissent par exemple dans l'approximation par discrétisation enx ety, de l'équation aux dérivées partielles, dite de la chaleur. 相似文献
6.
Let A be a set, and let E be the Banach space of bounded functions : A R, equipped with its natural order. With a rectangle R = (a,b) × (0,T] let F(x,t,) : R × E E be a bounded, continuous function satisfying a local Hölder condition and being quasimonotone increasing with respect to . Then there exists a solution u: [a,b] × [0,T] E of the problem ut(x,t) – uxx(x,t) = F(x,t,u(x,t)) ((x,t) R), u(x,t) = 0 ((x,t) R R). 相似文献
7.
Á. Császár 《Acta Mathematica Hungarica》1998,80(1-2):89-93
For a set X, let : exp X exp X satisfy A B whenever A B X. In [4], -open subsets of X, -interior iA and -closure cA of A X have been defined. The purpose of the present paper is to show that, under suitable conditions on , explicit formulas furnish iA and cA. 相似文献
8.
C. W. Onneweer 《Analysis Mathematica》1978,4(4):297-302
G- p- . [5] - (G) L
r(G) (1r<), . . , - . , , , . . , X. , . (. [1], [2] [4]). 相似文献
9.
10.
Clasine van Winter 《Integral Equations and Operator Theory》1986,9(3):387-451
Let H(0) be a dilation-analytic three-particle Schrödinger operator with analytic continuation H() (>0). Let a be zero or the energy of a two-particle bound state. Let- (a) be the Laplace operator representing the kinetic energy of the relative motion of fragments scattered in channel a. By recent results, wave operators W (±, a, ) with conjugates W (±, a, ) exist such that W (±, a, ) W (±, a, ) is a projection P (a, ) commuting with H () while [H ()-a]W (±, a, ) equals-W(±, a, ) (a) e2i. This paper shows that the wave operators transform dilation-analytic functions of particle coordinates into dilation-analytic functions. Specifically, if the left shoulder of the spectrum of P (a,) H () does not sweep across eigenvalues of H() when , then W(-, a, ) and W (+, a, ) are dilation analytic in [, ]. If the right shoulder does not sweep across eigenvalues, W(+, a, ) and W(-, a, ) are dilation analytic in [,]. A semisimple eigenvalue of H () embedded in the spectrum of P (a, ) H () does not prevent the wave operators from being dilation analytic in an interval [, ] with as an interior point.This work was supported in part by the National Science Foundation under grant DMS-8301096. 相似文献
11.
- , [4]. , . 相似文献
12.
w
a(x)=exp(–xa), xR, a0. , N
n
(a,p,q) — (2),
n P
nwap, CNn(a,p, q)Pnwaq. , — , {P
n}, .
This material is based upon research supported by the National Science Foundation under Grant No. DMS-84-19525, by the United States Information Agency under Senior Research Fulbright Grant No. 85-41612, and by the Hungarian Ministry of Education (first author). The work was started while the second author visited The Ohio State University between 1983 and 1985, and it was completed during the first author's visit to Hungary in 1985. 相似文献
This material is based upon research supported by the National Science Foundation under Grant No. DMS-84-19525, by the United States Information Agency under Senior Research Fulbright Grant No. 85-41612, and by the Hungarian Ministry of Education (first author). The work was started while the second author visited The Ohio State University between 1983 and 1985, and it was completed during the first author's visit to Hungary in 1985. 相似文献
13.
Martin Schottenloher 《manuscripta mathematica》1977,21(4):315-327
Given a function: + on a domain spread over an infinite dimensional complex Banach space E with a Schauder basis such that -log is plurisubharmonic and d (d denotes the boundary distance on ) one can find a holomorphic function f: with
f, where
f is the radius of convergence of f. If, in addition, is locally Lipschitz continuous with constant 1, f can be chosen so that (3M)–1
f, where M is the basis constant of E. In the particular case of E=
1 there are holomorphic functions f on with=
f. 相似文献
14.
H. Kita 《Acta Mathematica Hungarica》1998,81(3):175-193
Let and be positive increasing convex functions defined on [0, ). Suppose satisfies the 2-condition, that is, (t)2 (C1t) for sufficiently large t, and has some nice properties. If -1(u)log(u+1) C2-1(u) for sufficiently large uthen we have S*(f) L CfL for all f L ([-, ])where S*(f) is the majorant function of partial sums of trigonometric Fourier series and fL is the Orlicz norm of f. This result is sharp. 相似文献
15.
16.
This paper extends Kato's proof [5] of Banach's closed range theorem to locally convex spaces. Thus we consider a locally convex space (E,) and pairs (M,N) of closed subspaces. We call such a pair -open, if and only if there exists a directed, total system of seminorms generating the topology induced by a on M+N, such that the minimal gap p(M,N)>O for each p. Our main result is a generalisation of the closed range theorem and it consists of statements on relationships between the following properties: (a) M+N -closed, (b) M+N (E,E)-closed, (c) M+N (E,E)-closed, (d) (M,N) -open, (e) (M,N) (E,E)-open, (f) (M,N) (E,E)-open, (g) (M,N) (E,E)-open, (h) M+N=(MN), (i) M+N=(MN).By specialising the space (E,) and the subspaces M,N, our generalisation includes the closed range theorems of Dieudonné and Schwartz [4], Browder [1] and Mochizuki [12]. It is shown that these theorems not only hold for closed linear operators but even for closed linear relations. We are therefore able to obtain closed domain theorems which extend Brown's examinations in Banach-spaces [2] to locally convex spaces.
Herrn Gottfried Köthe zum 70. Geburtstag am 25.12.1975 gewidmet 相似文献
Herrn Gottfried Köthe zum 70. Geburtstag am 25.12.1975 gewidmet 相似文献
17.
In the present note we will investigate the problem of the one-sided approximation of functions by n-dimensional subspaces. In particular, we will find the exact value of the best one-sided approximation of the class WrL1 (r=1, 2, ...) of all periodic functions f(x) of period 2 for which f(r–1)(x) (f(0)(x)=f(x)) is absolutely continuous and f(r)L11 by periodic spline functions S2n
( = 0, 1, ..., n=1, 2, ...) of period 2, order ,and deficiency 1.Translated from Matematicheskie Zametki, Vol. 19, No. 1, pp. 11–17, January, 1976. 相似文献
18.
Rolfdieter Frank 《Journal of Geometry》1984,22(2):158-166
The extended reflection group of a metric vector space was introduced by Nolte [10] to get a group theoretical representation of the corresponding protective metric geometry (in the sense of Schröder [12]). Nolte characterizes the extended. reflection, group among all representing groups if the characteristic of the underlying field is 2. We give a new proof of Nolte's result which does not depend on the characteristic. As a consequence we get that the generated protective Clifford group (see [12]) is isomorphic to the extended reflection group. Finally, we give examples of other representing groups. 相似文献
19.
M. Almazov 《Journal of Mathematical Sciences》1993,63(4):484-489
The explicit form of the transition density is determined for the solution (t) of the stochastic diffusion equation d(t)=a((t))dt+dw(t), where a(z)= for x [a, b] and a(x)=0 for x [a, b], w(t) is a Wiener process.Translated from Vychislitel'naya i Prikladnaya Matematika, No. 61, pp. 99–105, 1987. 相似文献
20.
Guyan Robertson 《K-Theory》2001,22(3):251-269
Let be a torsionfree lattice in G=PGL(n+1,
, where n 1 and
is a nonArchimedean local field. Then acts on the Furstenberg boundary G/P, where P is a minimal parabolic subgroup of G. The identity element I in the crossedproduct C
*algebra C(G/P) generates a class [I] in the K
0 group of C(G/P) . It is shown that [I] is a torsion element of K
0 and there is an explicit bound for the order of [I]. The result is proved more generally for groups acting on affine buildings of type Ã
n. For n=1, 2 the Euler–Poincaré characteristic () annihilates the class [I]. 相似文献