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

页码：282 / 286

页数：5

共 50 条

[31] ORDINARY SINGULARITIES WITH DECREASING HILBERT FUNCTION
ROBERTS, LG
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1982, 34 (01): : 169 - 180
[32] INVARIANT SYMMETRIES OF UNIIVIODAL FUNCTION SINGULARITIES
Goryunov, V. V.
Haddley, J. A.
MOSCOW MATHEMATICAL JOURNAL, 2012, 12 (02) : 313 - 333
[33] On the complex singularities of the inverse Langevin function
Rickaby, Stephen R.
Scott, Nigel H.
IMA JOURNAL OF APPLIED MATHEMATICS, 2018, 83 (06) : 1092 - 1116
[34] SINGULARITIES, INCOMPLETENESS AND THE LORENTZIAN DISTANCE FUNCTION
BEEM, JK
EHRLICH, PE
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1979, 85 (JAN) : 161 - 178
[35] SINGULARITIES OF GREENS FUNCTION FOR A COLLISIONLESS MAGNETOPLASMA
NUTTALL, J
PHYSICS OF FLUIDS, 1965, 8 (02) : 286 - &
[36] The spectrum of singularities of Riemann's function
Jaffard, S
REVISTA MATEMATICA IBEROAMERICANA, 1996, 12 (02) : 441 - 460
[37] Resonance scattering and singularities of the scattering function
Heiss, W. D.
Nazmitdinov, R. G.
EUROPEAN PHYSICAL JOURNAL D, 2010, 58 (01): : 53 - 56
[38] On the complex singularities of the inverse Langevin function
Rickaby, Stephen R.
Scott, Nigel H.
IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications), 2018, 83 (06): : 1092 - 1116
[39] POSITIVELY INFINITE SINGULARITIES OF A SUPERHARMONIC FUNCTION
MATSUMOT.K
NAGOYA MATHEMATICAL JOURNAL, 1968, 31 (JAN) : 89 - &
[40] Connections on modules over singularities of finite CM representation type
Eriksen, Eivind
Gustavsen, Trond Stolen
JOURNAL OF PURE AND APPLIED ALGEBRA, 2008, 212 (07) : 1561 - 1574

← 1 2 3 4 5 →