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：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1994年 / 122卷 / 03期

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 50 条

[21] On a testing-function space for distributions associated with the Kontorovich-Lebedev transform
Yakubovich, Semyon B.
COLLECTANEA MATHEMATICA, 2006, 57 (03) : 279 - 293
[22] Wavelet transforms associated with the Kontorovich-Lebedev transform
Prasad, Akhilesh
Mandal, U. K.
INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING, 2017, 15 (02)
[23] OPERATIONAL PROPERTIES OF THE CONVOLUTION FOR THE KONTOROVICH-LEBEDEV TRANSFORM
YAKUBOVICH, SB
LUCHKO, YF
DOKLADY AKADEMII NAUK BELARUSI, 1994, 38 (04): : 19 - 22
[24] The generalized Kontorovich-Lebedev transform and associated operators
Mandal, U. K.
Prasad, Akhilesh
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2023, 117 (03)
[25] On Fourier - Kontorovich-Lebedev generalized convolution transforms
Nguyen Minh Khoa
Nguyen Thanh Hong
Vu Kim Tuan
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2017, 28 (04) : 271 - 283
[26] The Kontorovich-Lebedev Transform and Sobolev Type Space
Prasad, Akhilesh
Mandal, U. K.
COMPLEX ANALYSIS AND OPERATOR THEORY, 2018, 12 (03) : 669 - 681
[27] Computing the Kontorovich-Lebedev integral transforms and their inverses
Gautschi, W
BIT NUMERICAL MATHEMATICS, 2006, 46 (01) : 21 - 40
[28] THE ABEL SUMMATION OF THE KONTOROVICH-LEBEDEV INTEGRAL REPRESENTATION
Cojuhari, Petru A.
Gomilko, Alexander M.
OPUSCULA MATHEMATICA, 2005, 25 (01) : 101 - 107
[29] On the orthogonality and convolution orthogonality via the Kontorovich-Lebedev transform
Yakubovich, Semyon
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2021, 384
[30] A RADIAL VERSION OF THE KONTOROVICH-LEBEDEV TRANSFORM IN THE UNIT BALL
Yakubovich, Semyon B.
Vieira, Nelson
OPUSCULA MATHEMATICA, 2011, 31 (01) : 137 - 146

← 1 2 3 4 5 →