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Bull. Korean Math. Soc. 2012; 49(3): 609-619
Printed May 1, 2012
https://doi.org/10.4134/BKMS.2012.49.3.609
Copyright © The Korean Mathematical Society.
Fourier-type functionals on Wiener space
Hyun Soo Chung and Vu Kim Tuan
University of West Georgia, University of West Georgia
In this paper we define the Fourier-type functionals via the Fourier transform on Wiener space. We investigate some properties of the Fourier-type functionals. Finally, we establish integral transform of the Fourier-type functionals which also can be expressed by other Fourier-type functionals.
Keywords: integral transform, Fourier transform, Fourier-type functional, Wiener space, Paley-Wiener theorem
MSC numbers: Primary 42B10, 28C20
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