Applications of the Fourier-Wiener and Integral Transforms
MLA Style:Dr. Halema Zakaria Yahia Hussein "Applications of the Fourier-Wiener and Integral Transforms" International Journal of Mathematics Trends and Technology 65.9 (2019):64-67.
APA Style: Dr. Halema Zakaria Yahia Hussein (2019). Applications of the Fourier-Wiener and Integral Transforms International Journal of Mathematics Trends and Technology, 64-67
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-Wienertransform defined on a class of polynomial cylinder functions on Hilbert space and Wiener space.
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Keywords
Wiener space,Wiener measure, Hilbert space, exponential type analytic functions ,equicontinuous semigroup of class(C0).