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Submitted
Jul 31, 2020
Published
Jun 27, 2013
GENERALIZED CONVOLUTIONS ASSOCIATED WIHT THE INTEGRAL TRANSFORMS OF FOURIER TYPE AND THE APPLICATIONS
UED Journal of Social Sciences, Humanities and Education,
Vol. 3 No. 2 (2013): UED JOURNAL OF SOCIAL SCIENCES, HUMANITIES AND EDUCATION
Abstract
This paper provides new generalized convolutions associated with the integral transforms of Fourier type with Hermite weight - function and considers their applications. In particular, the necessary and sufficient condition for solvability of the integral equations of convolution type is obtained and the solutions in explicit form in of the equations are given.
Keywords
convolution; generalized convolution; integral transforms; Fourier transforms; integral equation
Bui Thi Giang, & Phan Duc Tuan. (2013). GENERALIZED CONVOLUTIONS ASSOCIATED WIHT THE INTEGRAL TRANSFORMS OF FOURIER TYPE AND THE APPLICATIONS. UED Journal of Social Sciences, Humanities and Education, 3(2), 1-6. https://doi.org/10.47393/jshe.v3i2.443
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