Fourier-Feynman transforms of unbounded functionals on abstract Wiener space

Byoung Kim; Il Yoo; Dong Cho

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Some basic relationships among transforms, convolution products, first variations and inverse transforms

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In this paper we obtain several basic formulas for generalized integral transforms, convolution products, first variations and inverse integral transforms of functionals defined on function space.

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A change of scale formula for Wiener integrals of cylinder functions on the abstract Wiener space. II.

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Multiple Laplace integral

Jan Kučera (1968)

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Generalized transforms and convolutions.

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Fourier transforms in generalized Fock spaces.

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A modified convolution and product theorem for the linear canonical transform derived by representation transformation in quantum mechanics

Navdeep Goel, Kulbir Singh (2013)

International Journal of Applied Mathematics and Computer Science

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The Linear Canonical Transform (LCT) is a four parameter class of integral transform which plays an important role in many fields of signal processing. Well-known transforms such as the Fourier Transform (FT), the FRactional Fourier Transform (FRFT), and the FreSnel Transform (FST) can be seen as special cases of the linear canonical transform. Many properties of the LCT are currently known but the extension of FRFTs and FTs still needs more attention. This paper presents a modified...