Applications of the Fourier-Wiener and Integral Transforms

Dr. Halema Zakaria Yahia Hussein

doi:https://doi.org/10.14445/22315373/IJMTT-V65I9P510

International Journal of Mathematics Trends and Technology

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Volume 65 | Issue 9 | Year 2019 | Article Id. IJMTT-V65I9P510 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I9P510

Applications of the Fourier-Wiener and Integral Transforms

Dr. Halema Zakaria Yahia Hussein

Abstract

We shall study the existence and uniqueness and regularity of solutions for Cauchy problems associated with the following two equations:𝑣_𝑡= −𝑅 ^𝑘𝑣 , 𝑣_𝑡𝑡 = −𝑅 ^𝑘𝑣; and the elliptic type equation −𝑅 ^𝑘𝑣 = f(k>1). We applications of the Fourier-Wienertransform defined on a class of polynomial cylinder functions on Hilbert space and Wiener space.

Keywords

Wiener space,Wiener measure, Hilbert space, exponential type analytic functions ,equicontinuous semigroup of class(C0).

References

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Citation :

Dr. Halema Zakaria Yahia Hussein, "Applications of the Fourier-Wiener and Integral Transforms," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 9, pp. 64-67, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I9P510