Applications of the Fourier-Wiener and Integral Transforms

	International Journal of Mathematics Trends and Technology (IJMTT)
	© 2019 by IJMTT Journal
	Volume-65 Issue-9
	Year of Publication : 2019
	Authors : Dr. Halema Zakaria Yahia Hussein
	10.14445/22315373/IJMTT-V65I9P510

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=-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.

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