ON THE THEORY OF THE KONTOROVICH-LEBEDEV TRANSFORMATION ON DISTRIBUTIONS

被引：12

作者：

YAKUBOVICH, SB ^{[1
]}

FISHER, B ^{[1
]}

机构：

[1] UNIV LEICESTER, DEPT MATH & COMP SCI, LEICESTER LE1 7RH, LEICS, ENGLAND

来源：

关键词：

D O I：

10.2307/2160753

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new proof of the representation theorem for the Kontorovich-Lebedev transformation on distributions is given.

引用

页码：773 / 777

页数：5

共 10 条

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[3] BUGGLE G, 1977, KONTOROVICH LEBEDEV
[4] Erdelyi A, 1953, HIGHER TRANSCENDENTA, VII
[5] FORRISTALL GZ, 1972, SIAM J MATH ANAL, V3, P561, DOI DOI 10.1137/0503055
[6] A CONVOLUTION CONNECTED WITH THE KONTOROVICH-LEBEDEV TRANSFORM
GLAESKE, HJ
HESS, A
[J]. MATHEMATISCHE ZEITSCHRIFT, 1986, 193 (01) : 67 - 78
[7] LEBEDEV NN, 1946, DOKL AKAD NAUK SSSR, V52, P655
[8] Prudnikov A. B., 1986, INTEGRALS SERIES, V2
[9] YAKUBOVICH SB, 1987, THESIS MINSK
[10] KONTOROVICH-LEBEDEV TRANSFORMATION ON DISTRIBUTIONS OF COMPACT SUPPORT AND ITS INVERSION
ZEMANIAN, AH
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1975, 77 (JAN) : 139 - 143