Paper Title :Operational Transform Formulae For Distributional Fourier-Stieltjes Transform
Author :V. D. Sharma, P. D. Dolas
Article Citation :V. D. Sharma ,P. D. Dolas ,
(2015 ) " Operational Transform Formulae For Distributional Fourier-Stieltjes Transform " ,
International Journal of Advances in Science, Engineering and Technology(IJASEAT) ,
pp. 77-79,
Special Issue-1
Abstract : The Fourier transform has a major
importance in functional analysis and complex analysis.
Also, it is major part of number theory, representation
theory etc. The Fourier Transform has wide range of
applications in various fields such as optics,
spectroscopy, signal processing, in a radar system and
so many. In the same manner, the stieltjes Transform
also have some extra ordinary applications in various
parts. It is key tool to derive information and
communication theoretic performance measures for
random vector channels. Stieltjes transform can be used
to express more intentive performance measures of
communication system such as signal to interference,
noise ratio and channel capacity. The Fourier
Transform and Stieltjes Transform have found various
applications separately. Together these two transforms
may help in solving different problems and may have
many of applications. So, combination and extension of
these two transform is very much important.
In this paper we have developed operation transform
formulae using the distributional Fourier-Stieltjes
transform. Also described differential operators F-type,
S-type and proved some results on differential
operators.
Keywords: Fourier Transform, Stieltjes Transform,
differential operators, Fourier-Stieltjes transform
Type : Research paper
Published : Special Issue-1
DOIONLINE NO - IJASEAT-IRAJ-DOIONLINE-2433
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Copyright: © Institute of Research and Journals
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Published on 2015-06-20 |
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