Asymptotic Expansion of Spherical Integral

被引：0

作者：

Huang, Jiaoyang ^{[1
]}

机构：

[1] Harvard, Dept Math, Cambridge, MA 02138 USA

来源：

JOURNAL OF THEORETICAL PROBABILITY | 2019年 / 32卷 / 02期

关键词：

Random matrices; Spherical integral; Asymptotic expansion; Free probability;

D O I：

10.1007/s10959-018-0840-2

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We consider the spherical integral of real symmetric or Hermitian matrices when the rank of one matrix is one. We prove the existence of the full asymptotic expansions of these spherical integrals and derive the first and the second term in the asymptotic expansion.

引用

页码：1051 / 1075

页数：25

共 50 条

[31] INTEGRAL EXPANSION OF AN ARBITRARY FUNCTION IN TERMS OF SPHERICAL FUNCTIONS
LEBEDEV, NN
SKALSKAI.IP
PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1966, 30 (02): : 314 - &
[32] Asymptotic expansion of problem solution of spherical wave diffraction on wedge
Zotov, Andrei V.
Voytovich, Nikolay I.
2014 XXXITH URSI GENERAL ASSEMBLY AND SCIENTIFIC SYMPOSIUM (URSI GASS), 2014,
[33] Error analysis in a uniform asymptotic expansion for the generalised exponential integral
Dunster, TM
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1997, 80 (01) : 127 - 161
[34] ON UNIFORM ASYMPTOTIC-EXPANSION OF A CLASS OF INTEGRAL-TRANSFORMS
SONI, K
LECTURE NOTES IN MATHEMATICS, 1982, 964 : 632 - 641
[35] ASYMPTOTIC EXPANSION OF A CLASS OF INTEGRAL TRANSFORMS VIA MELLIN TRANSFORMS
HANDELSMAN, RA
LEW, JS
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1969, 35 (05) : 382 - +
[36] The asymptotic expansion of integral functions defined by generalised hypergeometric series
Barnls, EW
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1907, 5 : 59 - 116
[37] ASYMPTOTIC-EXPANSION OF THE 1ST ELLIPTIC INTEGRAL
CARLSON, BC
GUSTAFSON, JL
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1985, 16 (05) : 1072 - 1092
[38] ASYMPTOTIC EXPANSION OF A CLASS OF INTEGRAL TRANSFORMS WITH ALGEBRAICALLY DOMINATED KERNELS
HANDELSMAN, RA
LEW, JS
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1971, 35 (02) : 405 - +
[39] Asymptotic expansion of a Bessel function integral using hypergeometric functions
Landau, LJ
Luswili, NJ
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2001, 132 (02) : 387 - 397
[40] Asymptotic expansion techniques for singularly perturbed boundary integral equations
Kersten Schmidt
Ralf Hiptmair
Numerische Mathematik, 2017, 137 : 397 - 415

← 1 2 3 4 5 →