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1.
F. Móricz 《Analysis Mathematica》1976,2(4):287-304
={i()} ={i(y)} (i=1,2,...) — (, ) . (,)Х(,) {i(x)k(y))} (i, k=1, 2, ...). (1.1) , . , , . , , . (i) (1.3), .. « » (1.1), (1.7) . , (ii) « » (1.4) (1.1), (1.8) . 相似文献
2.
It is shown that the set [G,] of immersed linear networks in
that are parallel to a given immersed linear network
and have the same boundary as is a convex polyhedral subset of the configuration space of movable vertices of the graph G. The dimension of [G,] is calculated, and the number of its maximal faces is estimated. As an application, the spaces of all locally minimal and weighted minimal networks with fixed boundary and topology in
are described. Bibliography: 21 titles. 相似文献
3.
Lian-Xi Ku 《Southeast Asian Bulletin of Mathematics》2000,24(3):375-382
In this note, we prove that, for Robins boundary value problem, a unique solution exists if fx(t, x, x), fx(t, x, x), (t), and (t) are continuous, and fx -(t), fx -(t), 4(t) 2 + 2(t) ++ 2(t), and 4(t) 2 + 2(t) + 2(t).AMS Subject Classification (2000) 34B15 相似文献
4.
P. H. Maserick 《Probability Theory and Related Fields》1981,57(3):311-326
Summary Let A be a real or complex commutative ordered algebra with identity and involution. Let denote the set of positive multiplicative linear functionals on A. Equip with the topology of simple convergence. For a fixed non-negative probability measure on the set
p
of linear functionals f on A which admit an integral representation of the form
with FL
p
() (1p) is biuniquely identified with L
p
() via the map tfF. The norm on
p
under which this map becomes an isometry is characterized and a formula for approximating F is derived. The linear functionals which admit representation of the form
with are also characterized and appropriately normed. The theory is applied to solve abstract versions of trigonometric and n-dimensional moment problems as well as provide an alternate point of view to the theory of L
p-spaces. New proofs of classical theorems are offered.Research for this paper was sponsored in part by the Danish Natural Science Research Council (Grant No.511-10302) and in part by the National Science Foundation (Grant No. MCS78-03397)The results contained herein include the proofs of theorems announced in [15] 相似文献
5.
A. K. Bousfeld 《K-Theory》1996,10(1):1-30
New characterizations are given for p-local -rings and p-adic -rings using Adams operations together with a single nonadditive operation P. For a spectrum E with K
*(E;Z
p) torsion-free, the p-adic -ring K
*(
E; Z
p
) and the Hopf algebra K
*(
E; Z/p) are naturally determined using free p-adic p-ring functors.The author was partially supported by the National Science Foundation. 相似文献
6.
For the general fixed effects linear model:Y=X+, N(0,V),V0, we obtain the necessary and sufficient conditions forLY+a to be admissible for a linear estimable functionS in the class of all estimators under the loss function (d -S)D(d -S), whereD0 is known. For the general random effects linear model:
=XV
11
X+XV
12+V
21
X+V
220, we also get the necessary and sufficient conditions forLY+a to be admissible for a linear estimable functionS+Q in the class of all estimators under the loss function (d -S -Q)D(d -S -Q), whereD0 is known. 相似文献
7.
Summary In this work we study the absolute continuity of the image of the Wiener measure under the transformations of the formT()=+u(), the shiftu is a random variable with values in the Cameron-Martin spaceH and is monotone in the sense that (T(+h-T(),h)
H
0 a.s. for allh inH. 相似文献
8.
Otto Röschel 《Journal of Geometry》1993,47(1-2):131-140
In part I we have studied a map of osculating elements of an affine Cayley-Klein (CK-) plane into the Lie algebra A4(2) of the aequiform transformations A4(2) of the given plane A2(, 2). If we use the real projective space P3() over A4(2) each osculating element defines a straight line in P3(). We now give a one parameter motion in A4(2) and study second order properties and their analogon in the Lie algebra and P3(), respectively. We show that the wellknown relationship between the points of the moving frame and the osculating circles of the point paths in the fixed frame may be interpreted as part of a quadratic map of certain straight Lines of P3(). An analogous result holds for the curvature of pairs of envelopes; the mapV induced in P3() than is contained in a cubic relationship of straight lines.
Herrn Professor Oswal Giering zum 60. Geburtstag gewidmet 相似文献
Herrn Professor Oswal Giering zum 60. Geburtstag gewidmet 相似文献
9.
We consider a new method for constructing finite-dimensional irreducible representations of the reflection equation algebra. We construct a series of irreducible representations parameterized by Young diagrams. We calculate the spectra of central elements s
k=Trq
L
k of the reflection equation algebra on q-symmetric and q-antisymmetric representations. We propose a rule for decomposing the tensor product of representations into irreducible representations. 相似文献
10.
The rate of decrease of the upper bounds of the best spline approximations Em,n(f)p with undetermined n nodes in the metric of the space Lp(0, 1) (1p) is studied in a class of functionsf(x) for which f
m+1 (x)Lq(0, 1)1(1qt8) or var {f(m) (x); 0, 1}1 (m=1, 2, ..., the preceding derivative is assumed absolutely continuous). An exact order of decrease of the mentioned bounds is found as n , and asymptotic formulas are obtained for p= and 1q in the case of an approximation by broken lines (m=1). The simultaneous approximation of the function and its derivatives by spline functions and their appropriate derivatives is also studied.Translated from Matematicheskie Zametki, Vol. 7, No. 1, pp. 31–42, January, 1970. 相似文献