Representation of the singularities of a function

被引：4
|
作者：
Aubry, JL [1 ]
机构：
[1] Univ Calif Davis, Dept Math, Livermore, CA 95616 USA
来源：
APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS | 1999年 / 6卷 / 02期
关键词：
D O I：
10.1006/acha.1998.0251
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that a function f having a little uniform smoothness can be locally represented at any point x(0) as f(x) = \x-x(0)\(h)g(x-x(0)/\x-x(0)\(1+beta)) + r(x), where g is an indefinitely oscillating function; the value of beta of the regularity of r are related by the 2-microlocal regularity of f. (C) 1999 Academic Press.
引用
收藏
页码：282 / 286
页数：5
相关论文
共 50 条
  • [1] ON THE REPRESENTATION OF BIHARMONIC FUNCTIONS WITH SINGULARITIES IN Rn
    Al-Gwaiz, M. A.
    Anandam, V.
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2013, 44 (03): : 263 - 276
  • [2] On the representation of biharmonic functions with singularities in ℝn
    M. A. Al-Gwaiz
    V. Anandam
    Indian Journal of Pure and Applied Mathematics, 2013, 44 : 263 - 276
  • [3] Phase singularities for image representation and matching
    Qiao, Yu
    Wang, Wei
    Minematsu, Nobuaki
    Liu, Jianzhuang
    Tang, Xiaoou
    2008 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH AND SIGNAL PROCESSING, VOLS 1-12, 2008, : 885 - +
  • [4] DISTANCE FUNCTION AND SINGULARITIES
    POLY, JB
    RABY, G
    BULLETIN DES SCIENCES MATHEMATIQUES, 1984, 108 (02): : 187 - 195
  • [5] SINGULARITIES IN LIKELIHOOD FUNCTION
    BARNARD, GA
    AMERICAN STATISTICIAN, 1974, 28 (04): : 162 - 162
  • [6] PARTITION FUNCTION WITH SINGULARITIES
    FULINSKI, A
    PHYSICS LETTERS A, 1967, A 25 (08) : 585 - &
  • [7] Singularities of the minimax function
    Zhukovskaya, TA
    RUSSIAN MATHEMATICAL SURVEYS, 1996, 51 (02) : 359 - 360
  • [8] Singularities and Poisson geometry of certain representation spaces
    Huebschmann, J
    QUANTIZATION OF SINGULAR SYMPLECTIC QUOTIENTS, 2001, 198 : 119 - 135
  • [9] Analytic representation of CR functions on hypersurfaces with singularities
    Kytmanov, A
    Myslivets, S
    Tarkhanov, N
    MATHEMATISCHE NACHRICHTEN, 2002, 244 : 170 - 183
  • [10] INTEGRAL REPRESENTATION FOR A SCATTERING AMPLITUDE WITH COMPLEX SINGULARITIES
    FRONSDAL, C
    MAHANTHAPPA, K
    NORTON, R
    PHYSICAL REVIEW, 1962, 127 (05): : 1847 - &
12345