On the neutral Hermite product of the distributions x±n and δ(m)(x)

被引：1
|
作者：
Shen, Chun [1 ]
Sun, Meina [1 ]
机构：
[1] Ludong Univ, Sch Math & Informat, Yantai, Peoples R China
来源：
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2008年 / 19卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Hermite function; Hermite expansions; product of distributions;
D O I：
10.1080/10652460701880094
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce the neutral Hermite product and study products of tempered distributions based on the Hermite expansions. In particular, we consider products of distributions x(n) and d(m)(x) by using the neutral Hermite product and the results are identical with the classical theory of Schwartz distributions. Finally, the recurrence relations about the Hermite expansion coefficients of x(+/-n) delta((m))(x) are obtained for the numerical computation.
引用
收藏
页码：387 / 398
页数：12
相关论文
共 50 条
  • [11] MASS DISTRIBUTIONS OF BINARY ALUMINUM CLUSTER ANIONS AL(N)X(M)(-) (X=O, S, P, AS, C)
    LIU, ZY
    WANG, CR
    HUANG, RB
    ZHENG, LS
    INTERNATIONAL JOURNAL OF MASS SPECTROMETRY AND ION PROCESSES, 1995, 141 (03): : 201 - 208
  • [12] Subresultants of (x - α)m and (x - β)n, Jacobipolynomials and complexity
    Bostan, A.
    Krick, T.
    Szanto, A.
    Valdettaro, M.
    JOURNAL OF SYMBOLIC COMPUTATION, 2020, 101 : 330 - 351
  • [13] Varieties with x(*)(n) = x(-n) identity m-groups
    Zenkov, A. V.
    BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2016, 82 (02): : 63 - 67
  • [14] On the non-commutative neutrix product of the distributions x-r+ lnp x+ and xμ+lnq x+
    Fisher, Brian
    Tas, Kenan
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2006, 17 (07) : 513 - 519
  • [15] The multiplicative product (δ(x0-|x|)/|x|(n-2/2))(δ(x0+|x|)/|x|(n-2/2))
    Tellez, MA
    JOURNAL OF MATHEMATICAL CHEMISTRY, 1997, 22 (2-4) : 149 - 160
  • [16] The commutative neutrix product of B(r) (x, n) and δ(s) (x)
    Kilicman, A
    Fisher, B
    Nicholas, JD
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1998, 29 (04): : 397 - 403
  • [17] m＜f（x）／g（x）＜n（m＜n、g（x）≠0）的等价命题及其应用
    黄仕义
    数学教学研究, 2002, (02) : 22 - 23
  • [18] The curves X(m)Y(n)+Y(m)Z(n)+Z(m)X(n)=0 and decomposition of a Jacobian
    Bennama, H
    Carbonne, P
    JOURNAL OF ALGEBRA, 1997, 188 (02) : 409 - 417
  • [19] The composition of the distributions and x_-ms ln x_ and x+r-p/m
    Fisher, B
    Kananthai, A
    Sritanatana, G
    Nonlaopon, K
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2005, 16 (01) : 13 - 19
  • [20] Classification of the entangled states of 2 x L x M x N
    Sun, Liang-Liang
    Li, Jun-Li
    Qiao, Cong-Feng
    QUANTUM INFORMATION PROCESSING, 2015, 14 (01) : 229 - 245
12345