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71.
Given a principal value convolution on the Heisenberg group H
n
= ℂ
n
× ℝ, we study the relation between its Laguerre expansion and the Fourier-Bessel expansion of its limit on ℂ
n
. We also calculate the Dirichlet kernel for the Laguerre expansion on the group H
n
.
Dedicated to Professor Sheng GONG on the occasion of his 75th birthday 相似文献
72.
Let be a bounded domain with C
2 boundary. And let H
k
be the set of all polyharmonic functions f with order k on Ω. For 0<p, q≤∞ and ϕ a normal weight, the mixed-norm space consists of all function f in H
k
for which the mixed-norm ||·||
p, q, ϕ
<∞. The main result of the paper is the norm equivalence:
where x
0 is a fixed point in Ω, m is a positive integer and is the jth gradient of f. A similar result for Bloch-type spaces is also obtained.
This research is partially supported by the National Natural Science Foundation of China (10471039), the MNZŽS Grant No. 144010
(Serbia), and the Natural Science Foundation of Zhejiang Province (M103104). 相似文献
73.
Yutaka Yoshii 《代数通讯》2017,45(1):1-8
Let G be a connected, semisimple, and simply connected algebraic group defined and split over the finite field of order p, and let G(q) be the corresponding finite Chevalley or twisted group, where q = pr. Recently, Anwar determines the direct sum decomposition of the tensor product of the rth Steinberg module and a simple G-module with a (p,r)-minuscule highest weight λ. In this paper, we determine that of the tensor product regarded as a module for G(q) under some weak assumptions for λ. 相似文献
74.
Composite generalized Laguerre spectral method for nonlinear Fokker–Planck equations on the whole line 下载免费PDF全文
Tian‐jun Wang 《Mathematical Methods in the Applied Sciences》2017,40(5):1462-1474
In this paper, we propose a composite Laguerre spectral method for the nonlinear Fokker–Planck equations modelling the relaxation of fermion and boson gases. A composite Laguerre spectral scheme is constructed. Its convergence is proved. Numerical results show the efficiency of this approach and coincide well with theoretical analysis. Some results on the Laguerre approximation and techniques used in this paper are also applicable to other nonlinear problems on the whole line. Copyright © 2016 John Wiley & Sons, Ltd. 相似文献
75.
The aim of this paper is to present a new approach to the finite time L2-norm polynomial approximation problem. A new formulation of this problem leads to an equivalent linear system whose solution can be investigated analytically. Such a solution is then specialized for a polynomial expressed in terms of Laguerre and Bernstein basis. 相似文献
76.
77.
This paper is devoted to studying the commutators of the multilinear singular integral operators with the non-smooth kernels
and the weighted Lipschitz functions. Some mapping properties for two types of commutators on the weighted Lebesgue spaces,
which extend and generalize some previous results, are obtained. 相似文献
78.
称Boole矩阵A是正规的,是指A的行秩与列秩相等.本文主要得到两个结果.第一,推广了J.Konieczny在SemigroupForum,vol.44(1992)发表的论文Oncardina-litiesofrowspaceofBooleanmatrices的主要结果.第二,若n阶Boole矩阵的行空间基数大于2 ̄(n-2)-2,则A必是正规的. 相似文献
79.
We study two indeterminate Hamburger moment problems and the corresponding orthogonal polynomials. The coefficients in their
recurrence relations are of exponential growth or are polynomials of degree 2. The entire functions in the Nevanlinna parametrization
are found. The orthogonal polynomials with polynomial recurrence coefficients resemble the Freud polynomials with a = 1/2 . Inequalities are given for the largest zero and the asymptotic behavior of the largest zero is established.
April 24, 1996. Date revised: March 3, 1997. 相似文献
80.
Olaf Bröcker 《Journal of Geometry》1998,61(1-2):32-38
This note shows that a theorem of miquelian type known as (M2) holds in a certain non miquelian Laguerre plane of shear type as defined by Löwen and Pfüller[1].Dedicated to Professor H. Karzel on the occasion of his 70th birthday 相似文献