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1.
Let k be a commutative ring, GG finite affine algebraic k-groups, and HH the dual Hopfalgebras of the affine algebras of G resp. G. The main results of this paper are: (I) If k is semilocal (e.g. k a field) there is an H-linear, HH-colinear, unitary, augmented isomorphism HHH H, where HH is the coalgebra belonging to G/G. (II) If the k-submodule of the fixelements of (HH)* is isomorphic to k (e.g. k principal or semilocal), then HH is a Frobeniusextension of the second kind. 相似文献
2.
Andriy Panasyuk 《Annals of Global Analysis and Geometry》1997,15(4):313-324
Given a complex manifold Mi, structures of Poisson algebras on (Mi)=C(Mi,C) which are associated with a nondegenerate -closed (2,0)-form i on Mi are considered. It is shown that every isomorphism of Poisson structures (M1) (M2) is generated by a biholomorphic map :M2 M1 such that 2 = *1 相似文献
3.
We prove that if aC
1 smooth change of variable : generates a bounded composition operatorff° in the spaceA
p()=L
p
,p2, then is linear (affine).We also prove that for a nonlinearC
1 mapping , the norms of exponentialse
i as Fourier multipliers inL
p
() tend to infinity (,||). In both results the condition C
1 is sharp, it cannot be replaced by the Lipschitz condition. 相似文献
4.
D. V. Leladze 《Analysis Mathematica》1991,17(4):281-295
n- (n1) fL
p
([–, ]
n
),=1 = (L
C) . , , f([–, ]
n
). 相似文献
5.
S. V. Lapin 《Mathematical Notes》1977,21(5):346-352
For a given -function (u), a condition on a -function (u) is found such that it is necessary and sufficient for the following to hold: if fn(x) f(x) and f
n
(x)M (n=1, 2, ...) where M>0 is an absolute constant, then f
n
(x)–f(x)0(n). An analogous condition for convergence in Orlicz spaces is obtained as a corollary.Translated from Matematicheskie Zametki, Vol. 21, No. 5, pp. 615–626, May, 1977.The author thanks V. A. Skvortsov for his constant attention and guidance on this paper. 相似文献
6.
Ю. А. Казьмин 《Analysis Mathematica》1976,2(2):99-116
f(z), :f(n)=0 (n=0, ±1, ±2, ...). ((n)} L
p
,p>1, . 相似文献
7.
, —— , . , f, ——, —. . 相似文献
8.
9.
- . . . , . 相似文献
10.
Yu. I. Ingster 《Journal of Mathematical Sciences》1994,68(4):503-515
The problem of the minimax detection of a signal is considered in a Gaussian white noise of intensity 0. The set of the signals represents an ellipsoid in the p-metric with lengths of semiaxes ak
–1 0 as k , from which a ball of radius 0 as 0 in the p-metric has been removed. Asymptotically minimax tests have been constructed for the cases 1 < p and asymptotically sharp estimates of the minimax efficiency have been obtained.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova Akademii Nauk SSSR, Vol. 184, pp. 152–168, 1990. 相似文献
11.
L. Leindler 《Analysis Mathematica》1994,20(2):95-106
[3] , >0 n
–
a
n
, . , . . , .
This research was partially supported by the Hungarian National Foundation for Scientific Research under Grant #234. 相似文献
This research was partially supported by the Hungarian National Foundation for Scientific Research under Grant #234. 相似文献
12.
Hans -J. Runckel 《Analysis Mathematica》1984,10(4):295-299
A, ()=0, c(z)- T - TY=AY. A y(t)=y(, t) Ty=y Y(t). - c(T)y=0. 相似文献
13.
14.
15.
Flemming Topsøe 《manuscripta mathematica》1976,19(1):1-14
Two problems will be considered. In Part I we consider a class of subsets of a topological space X and a Radon measure on X; if it is known that, for sufficiently many
, the restrictions of the sets in constitutes a uniformity class in T w.r.t. the restriction of the given measure, then we ask if it follows that is a uniformity class in X.Part II, which can be read independently of Part I, is concerned with the question whether, to a given convergent sequence of Radon measures, say n, there always exist sufficiently many compact sets K such that n(K)(K). 相似文献
16.
17.
J. Płonka 《Acta Appl Math》1998,52(1-3):305-313
Let : F N be a type of algebras, where F is a set of fundamental operation symbols and N is the set of nonnegative integers. An identity of type is called biregular if the sets of variables in and are identical and the sets of fundamental operation symbols in and are identical. If K is a variety of type , we denote by Kb the variety of type defined by all biregular identities from Id(K). Kb will be called the biregularization of K. In this paper we give a representation of free algebras over Kb by means of free algebras over K. 相似文献
18.
Toivo Leiger 《manuscripta mathematica》1984,45(3):293-307
Let A and B be normal matrices. In :={x=(xk) ¦ xk} we define the order relation A by xA0:<=>
k=0
n
ankxk0 (n ). Let T be a row-finite matrix. A is called T-section-positive, if ktmkxke(k) A0 (m ) for xA0 (see [5]). We study the relation between T-sectional positivity and T-sectional boundedness. An (A,B)-summability factor sequence =(k) is called positive, if (kxk)B0 for each xcA with xA0. For B-section-positive matrices A we give a functional analytic characterization of positive (A,B)-summability factor sequences.
Die Arbeit entstand während eines vom DAAD unterstützten Forschungsaufenthalts an der Fernuniversität-Gesamthochschule Hagen 相似文献
Die Arbeit entstand während eines vom DAAD unterstützten Forschungsaufenthalts an der Fernuniversität-Gesamthochschule Hagen 相似文献
19.
S. V. Petras 《Journal of Mathematical Sciences》1984,24(3):380-386
The behavior of the poles zn(), n=1,2,... of the scattering matrix of the operatorl
u=–u(x), x , (u/n)+(x)u|=0 as 0 is considered. It is proved that |zn()–zn|=0((1/2)qn), where qn is the order of the pole of the scattering matrix for the operator 0u=–u, u/=0.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 117, pp. 183–191, 1981. 相似文献
20.
I. A. Ševčuk 《Analysis Mathematica》1984,10(3):249-273
( , k) , ER f(x) f(x)H
k
(R) (k2— ,=(t) — k- ). f(x) E (t). 相似文献