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Asymptotic decay of Fourier, Laplace and other integral transforms [PDF]

open access: yesJournal of Mathematical Analysis and Applications, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Leonardo Colzani
exaly   +3 more sources

Extensions to common Laplace and Fourier transforms [PDF]

open access: yesIEEE Signal Processing Letters, 1997
The extended versions of common Laplace and Fourier transforms are given. This is achieved by defining a new function fe(p), p 2 C related to the function to be transformed f(t), t 2 R. Then fe(p) is transformed by an integral whose path is defined on an
H M Ozaktas, L Onural
exaly   +2 more sources

An Introduction to Laplace Transforms and Fourier Series

open access: yesSpringer Undergraduate Mathematics Series, 2014
Laplace transforms continue to be a very important tool for the engineer, physicist and applied mathematician. They are also now useful to financial, economic and biological modellers as these disciplines become more quantitative.
Phil Dyke
exaly   +2 more sources

Fourier–Laplace transforms and orthogonal polynomials

Journal of Approximation Theory, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

On the Fourier–Laplace convolution transforms

Integral Transforms and Special Functions, 2015
In this paper, we introduce two classes of integral transforms related to two generalized convolutions for the Fourier cosine, Fourier sine and Laplace transforms. The Watson type theorem for these transforms is also obtained. As applications we apply these convolutions to solve some classes of integral and integro-differential equations.
Nguyen Xuan Thao   +3 more
openaire   +1 more source

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