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排序方式: 共有4796条查询结果,搜索用时 875 毫秒
71.
The authors give error estimates, a Voronovskaya-type relation, strong converse results and saturation for the weighted approximation of functions on the real line with Freud weights by Bernstein-type operators. 相似文献
72.
Mathematical Notes - 相似文献
73.
Bingzheng Li 《应用数学学报(英文版)》1997,13(2):209-220
We modify Szász-Durrmeyer operators by means of three-diagonal generalized matrix which overcomes a difficulty in extending a Berens-Lorentz result to the Szász-Durrmeyer operators for second order of smoothness. The direct and converse theorems for these operators inL
p
are also presented by Ditzian-Totik modulus of smoothness.This project is supported by Zhejiang Provincial Foundation of China. 相似文献
74.
75.
记X为复数域上无限维Banach空间,H为无限维复可分Hilert空间。本文给出B(X)上保持点谱的满射可加射具有的形式,以及B(H)上某些初等算子保点谱的充要条件。 相似文献
76.
We construct the spaces that the elliptic Ruijsenaars operators act on. It is shown that they are extensible to nonnegative selfadjoint operators on a space of square integrable functions, or preserve a finite dimensional vector space of entire functions. These facts are shown in terms of the R-operators which satisfy the Yang–lBaxter equation. The elliptic Ruijsenaars operators are considered as the elliptic analogues of the Macdonald operators or the difference analogues of the Lamé operators. 相似文献
77.
Cheikh Birahim Ndiaye 《Journal of Functional Analysis》2007,251(1):1-58
Working in a given conformal class, we prove existence of constant Q-curvature metrics on compact manifolds of arbitrary dimension under generic assumptions. The problem is equivalent to solving a nth-order non-linear elliptic differential (or integral) equation with variational structure, where n is the dimension of the manifold. Since the corresponding Euler functional is in general unbounded from above and below, we use critical point theory, jointly with a compactness result for the above equation. 相似文献
78.
Considering a system ofN identical interacting particles, which obey Fermi-Dirac or Bose-Einstein statistics, we derive new formulas for correlation functions of the type
(whereB
j is diagonal in the free-particle states) in the thermodynamic limit. Thereby we apply and extend a superoperator formalism, recently developed for the derivation of long-time tails in semiclassical systems. As an illustrative application, the Boltzmann equation value of the time-integrated correlation functionC(t) is derived in a straightforward manner. Due to exchange effects, the obtained t-matrix and the resulting scattering cross section, which occurs in the Boltzmann collision operator, are now functionals of the Fermi-Dirac or Bose-Einstein distribution. 相似文献
79.
G. A. Mezincescu 《Journal of statistical physics》1987,49(5-6):1181-1190
UsingX-bounding (lower bounds by Laplacians with mixed boundary conditions and discrete analogs), we obtain the Lifschitz exponent at the bottom of the spectrum for random operators of typeH
=T+V
, withT a (periodic) generator of a positivity-preserving semigroup, extending results by Kirsch and Simon. 相似文献
80.
In this paper, the authors study the integral operator
Sφf(z) = Z
C
φ(z, w)f(w)dλα(w)
induced by a kernel function φ(z, ·) ∈ F
∞α between Fock spaces. For 1 ≤ p ≤ ∞, they
prove that Sφ : F
1
α → F
p
α is bounded if and only if
sup
a∈C
kSφkakp,α < ∞, (?)
where ka is the normalized reproducing kernel of F
2
α; and, Sφ : F
1
α → F
p
α is compact if and
only if
lim
|a|→∞
kSφkakp,α = 0.
When 1 < q ≤ ∞, it is also proved that the condition (?) is not sufficient for boundedness
of Sφ : F
q
α → F
p
α .
In the particular case φ(z, w) = eαzw?(z ? w) with ? ∈ F
2
α, for 1 ≤ q < p < ∞, they
show that Sφ : F
p
α → F
q
α is bounded if and only if ? = 0; for 1 < p ≤ q < ∞, they give
sufficient conditions for the boundedness or compactness of the operator Sφ : F
p
α → F
q
α. 相似文献