Applications of the Fourier-Wiener and Integral Transforms |
Author(s): |
A. Lakshman Kumar , CK COLLEGE OF ENGINEERING AND TECHNOLOGY, CUDDALORE; K. Gurusamy, CK COLLEGE OF ENGINEERING AND TECHNOLOGY, CUDDALORE |
Keywords: |
Wiener Space, Wiener Measure, Hilbert Space, Exponential Type Analytic Functions, Equicontinuous Semigroup of Class(ð¶0). |
Abstract |
We shall study the existence and uniqueness and regularity of solutions for Cauchy problems associated with the following two equations:ð‘£ð‘¡ = −ð‘…ð‘˜ð‘£ , ð‘£ð‘¡ð‘¡ = −ð‘…ð‘˜ð‘£; and the elliptic type equation−ð‘…ð‘˜ð‘£ = ð‘“(𑘠> 1).We applications of the Fourier-Wiener transform defined on a class of polynomial cylinder functions on Hilbert space and Wiener space. |
Other Details |
Paper ID: IJSRDV7I80082 Published in: Volume : 7, Issue : 8 Publication Date: 01/11/2019 Page(s): 118-120 |
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