FOURIER-TYPE FUNCTIONALS ON WIENER SPACE

Hyun-Soo Chung; Vu Kim Tuan

doi:10.4134/bkms.2012.49.3.609

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JOURNAL ARTICLE

FOURIER-TYPE FUNCTIONALS ON WIENER SPACE

Hyun-Soo Chung Vu Kim Tuan

Year: 2012 Journal: Bulletin of the Korean Mathematical Society Vol: 49 (3)Pages: 609-619 Publisher: Korean Mathematical Society

DOI: 10.4134/bkms.2012.49.3.609

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Abstract

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:

Mathematics Fourier transform Fourier inversion theorem Type (biology) Discrete Fourier transform (general) Fourier analysis Discrete-time Fourier transform Mathematical analysis Integral representation theorem for classical Wiener space Space (punctuation) Fractional Fourier transform Fourier transform on finite groups Functional integration Integral equation Computer science

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Algebraic and Geometric Analysis

Physical Sciences → Mathematics → Applied Mathematics

Matrix Theory and Algorithms

Physical Sciences → Computer Science → Computational Theory and Mathematics

Numerical methods in inverse problems

Physical Sciences → Mathematics → Mathematical Physics

FOURIER-TYPE FUNCTIONALS ON WIENER SPACE

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