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1.
J. Mogyoródi 《Analysis Mathematica》1981,7(3):185-197
, , . . . [1], , . , , ., , L logL. , , . . . . [5]. , . 相似文献
2.
Klaus Kalb 《manuscripta mathematica》1972,7(3):271-297
Let T be a selfadjoint operator in a Gelfand triplet H. Examples show that there can occur generalized eigenvalues of T which are not in the Hilbert space spectrum (T) of T. Moreover, the fuction d, which assigns to each real number s the dimension of the generalized eigenspace corresponding to s, can be essentially greater then the von Neumann multiplicity function of T. We therefore construct a new triplet H, closely related to the given Gelfand triplet, according to which the set of generalized eigenvalues of T is contained in (T), and the function d essentially equals the von Neumann multiplicity function of T. Then, in particular, the closure of the set of generalized eigenvalues equals (T). The expansion theorems in H are transferred to H.
Grundlage dieser Arbeit ist ein Teil meiner Dissertation. Ich danke Herrn Prof. Dr. H.G. Tillmann für die Anregung hierzu und für viele wertvolle Hinweise. 相似文献
Grundlage dieser Arbeit ist ein Teil meiner Dissertation. Ich danke Herrn Prof. Dr. H.G. Tillmann für die Anregung hierzu und für viele wertvolle Hinweise. 相似文献
3.
Michael Voit 《Monatshefte für Mathematik》1992,113(1):59-74
We derive strong laws of large numbers for birth and death random walks and random walks on polynomial hypergroups for which the coefficients of the three-term-recurrence formula of the associated orthogonal polynomials satisfy lim
n
n
a (a
n-cn)= wherea]0, 1[ and >0. We also present these laws for random walks on Sturm-Liouville hypergroups on + for which a corresponding asymptotic condition holds. Our paper supplements articles ofVoit [9] andZeuner [14] in which the casesa=0 anda=1 are considered.This paper was written at Murdoch University in Western Australia while the author held a Feodor Lynen fellowship of the Alexander von Humboldt foundation. 相似文献
4.
u=f(x)+S(u), S — , u-G(u), G —
. B
p,q
s
() -F
p,q
s
(). R
n
—
. — .
p,q
s
F
p,q
s
. 相似文献
5.
6.
A. Kroó 《Analysis Mathematica》1981,7(4):257-263
f — , . p
n
(f) f . , n+2 , f–p
n
(f) . , n . , .
On the distribution of points of maximal deviation in complex ebyev approximation相似文献
7.
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9.
, n- n- 1 , . , , ( « ») f . 相似文献
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12.
M. Milman 《Analysis Mathematica》1978,4(3):215-223
X(Y) f -:X(Y)={fM(×): fX(Y)=f(x,.)YX< . =(0, ), M (×) — , ×, X, Y, Z— . X(Y) Z(×). 相似文献
13.
H. Triebel 《Analysis Mathematica》1977,3(4):299-315
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p,q
g(x)
F
p,q
g(x)
( ) R
n
. --, . : , , , . 相似文献
14.
S. P. Zhou 《Analysis Mathematica》1994,20(2):155-159
[Zho2] {x
n
} ,
n
0 n .
Supported in part by an NSERC Postdoctoral Fellowship and a CRF grant of University of Alberta. 相似文献
Supported in part by an NSERC Postdoctoral Fellowship and a CRF grant of University of Alberta. 相似文献
15.
Regularization of Nonlinear Ill-Posed Variational Inequalities and Convergence Rates 总被引:12,自引:0,他引:12
Let H be a Hilbert space and K be a nonempty closed convex subset of H. For f H, we consider the (ill-posed) problem of finding u K for which 0 for all v K, where A : H H is a monotone (not necessarily linear) operator. We study the approximation of the solutions of the variational inequality by using the following perturbed variational inequality: for f H, f – f , find u, K for which 0 for all v K, where , , and are positive parameters, and K, a perturbation of the set K, is a nonempty closed convex set in H. We establish convergence and a rate O(1 / 3) of convergence of the solutions of the regularized variational inequalities to a solution of the original variational inequality using the Mosco approximation of closed convex sets, where A is a weakly differentiable inverse-strongly-monotone operator. 相似文献
16.
Liu Yongping 《Analysis Mathematica》1995,21(2):107-124
17.
( qP. ) 相似文献
18.
С. С. Волосивец 《Analysis Mathematica》1995,21(1):61-77
A new discrete modulus of continuity is introduced for functions of boundedp-fluctuation, and direct and converse theorems are proved on the approximation of these functions by polynomials with respect to multiplicative systems. Sufficient conditions for the convergence of Fourier series with respect to multiplicative systems are also obtained and these are the best possible in a certain sense.
. 60- 相似文献
. 60- 相似文献
19.
Summary It is proved that if the nonempty intersection of bounded closed convex sets A nB is contained in (A + F )U(B +F ) and one of the following holds true: (i) the space X is less-than-three dimensional, (ii) A UB is convex, (iii) F is a one-point set, then A nB CA +F or A nB CB +F (Theorems 2 and 3). Moreover, under some hypotheses the characterization of A and B such that A nB is a summand of A UB is given (Theorem 3). 相似文献
20.
Let X
1,..., Xn be independent random variables such that {Xj 1}=1 and E
X
j=0 for all j. We prove an upper bound for the tail probabilities of the sum M
n=X1+...+ Xn. Namely, we prove the inequality {M
nx} 3.7 {Sn x}, where S
n=1+...+ n is a sum of centered independent identically distributed Bernoulli random variables such that E
S
n
2
=ME
M
n
2
and {k=1}=E
S
n
2
/(n+E
S
n
2
) for all k (we call a random variable Bernoulli if it assumes at most two values). The inequality holds for x at which the survival function x{S
nx} has a jump down. For remaining x, the inequality still holds provided that we interpolate the function between the adjacent jump points linearly or log-linearly. If necessary, in order to estimate {S
nx} one can use special bounds for binomial probabilities. Up to the factor at most 2.375, the inequality is final. The inequality improves the classical Bernstein, Prokhorov, Bennett, Hoeffding, Talagrand, and other bounds. 相似文献