Integral transforms, convolution products, and first variations.

Kim, Bong Jin; Kim, Byoung Soo; Skoug, David

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Displaying similar documents to “Integral transforms, convolution products, and first variations.”

Relationships of convolution products, generalized transforms and the first variation on function space.

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

Seung Chang, Hyun Chung, David Skoug (2013)

Open Mathematics

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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.

Relationships among transforms, convolutions, and first variations.

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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...

On the convolution in the space $𝒟_{L^{2}}^{' (M_{p})}$

Stevan Pilipović (1988)

Rendiconti del Seminario Matematico della Università di Padova

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Fourier-Feynman transforms of unbounded functionals on abstract Wiener space

Byoung Kim, Il Yoo, Dong Cho (2010)

Open Mathematics

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Huffman, Park and Skoug established several results involving Fourier-Feynman transform and convolution for functionals in a Banach algebra S on the classical Wiener space. Chang, Kim and Yoo extended these results to abstract Wiener space for a more generalized Fresnel class $ℱ_{𝒜_{1}, 𝒜_{2}}$ A1,A2 than the Fresnel class $ℱ$ (B)which corresponds to the Banach algebra S. In this paper we study Fourier-Feynman transform, convolution and first variation of unbounded functionals on abstract Wiener space...