The generalized Kontorovich-Lebedev transform and associated operators

被引：1
|
作者：
Mandal, U. K. [1 ]
Prasad, Akhilesh [2 ]
机构：
[1] Patliputra Univ, Nalanda Coll, Dept Math, Patna, India
[2] Indian Inst Technol, Indian Sch Mines, Dept Math & Comp, Dhanbad 826004, India
来源：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2023年 / 117卷 / 03期
关键词：
Kontorovich-Lebedev transform; Pseudo-differential operator; Convolution; PSEUDODIFFERENTIAL-OPERATORS; FRACTIONAL FOURIER; HANKEL TRANSFORM; CONTINUITY; BOUNDEDNESS; CONVOLUTION;
D O I：
10.1007/s13398-023-01456-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main goal of the paper is to generalize the traditional Kontorovich-Lebedev transform to arbitrary order and study its fundamental results. Translation and convolution operators are defined and their estimates in Lebesgue spaces are obtained. The continuity of the generalized Kontorovich-Lebedev transform as well as its adjoint over certain function spaces are discussed. Moreover, pseudo-differential operators are introduced and their continuity over Lebesgue spaces are studied.
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页数：15
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