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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(𝐶0).

Abstract

We shall study the existence and uniqueness and regularity of solutions for Cauchy problems associated with the following two equations:𝑣𝑡 = −𝑅𝑘𝑣 , 𝑣𝑡𝑡 = −𝑅𝑘𝑣; and the elliptic type equation−𝑅𝑘𝑣 = 𝑓(𝑘 > 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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