An <Emphasis Type="BoldItalic">n</Emphasis>-dimensional pseudo-differential operator involving the Hankel transformation |
| |
| Authors: | R S PATHAK AKHILESH PRASAD MANISH KUMAR |
| |
| Institution: | 1.Centre for Interdisciplinary Mathematical Sciences,Banaras Hindu University,Varanasi,India;2.Department of Applied Mathematics,Indian School of Mines,Dhanbad,India |
| |
| Abstract: | An n-dimensional pseudo-differential operator (p.d.o.) involving the n-dimensional Hankel transformation is defined. The symbol class H
m
is introduced. It is shown that p.d.o.’s associated with symbols belonging to this class are continuous linear mappings of
the n-dimensional Zemanian space Hm(In)H_\mu(I^n) into itself. An integral representation for the p.d.o. is obtained. Using the Hankel convolution, it is shown that the p.d.o.
satisfies a certain L
1-norm inequality. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
