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Integral transforms of generalized functions

Journal of Soviet Mathematics, 1986
Translation from Itogi Nauki Tekh., Ser. Mat. Anal. 20, 78-115 (Russian) (1982; Zbl 0552.46021).
Brychkov, Yu. A., Prudnikov, A. P.
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Generalized Integral Transforms with the Homotopy Perturbation Method

Journal of Mathematical Modelling and Algorithms in Operations Research, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Generalized finite integral transform

Journal of Engineering Physics, 1968
A generalized finite integral transform combining the Fourier and Hankel transforms is introduced. This transform, together with a Laplace transformation with respect to time, makes possible the simultaneous solution of the problems for a plate, a cylinder, and a sphere.
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Wiener-Hopf Method and Generalized Integral Transforms

Journal of Mathematical Physics, 1969
We consider the class of singular integral equations that can be solved by means of the Wiener-Hopf technique. The resolvent is given as a dispersion relation in the plane of the parameter λ and some physical applications are discussed.
Bassetto, A., Paccanoni, F.
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Generalized integral transforms and asymptotics [PDF]

open access: possible, 2022
Generalized integral transforms, as one of the powerful tools in mathematical physics, has been elaborated in the last fifty years. Their asymptotic analysis through the asymptotic behavior of distributions is also an important research subject, that took attention on different authors. Obviously, it took our attention too.
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Generalization of a Theorem of Boas to a Class of Integral Transforms

Results in Mathematics, 2000
\textit{R. Boas} [Trans. Am. Math. Soc. 40, 287-308 (1936; Zbl 0015.21301)] proved that if \(f\in L^{2}({\mathbb R})\) \(({\mathbb R}=(-\infty,\infty))\), then a necessary and sufficient condition that \(f\) vanishes everywhere on \((-1,1)\) is that \((B(\widetilde{B}f))(\omega)=-\widetilde{f}(\omega)\), where \[ (Bf)(x)={\frac{1}{\pi}}\int^{\infty}_{0}
Tuan, V. Kim, Zayed, Ahmed I.
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On Generalized Quaternion Integral Transform and its Applications

Complex Analysis and Operator Theory
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Baliarsingh, Pinakadhar, Sahoo, Swaraj
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A generalized transformed path integral approach for stochastic processes

Journal of Computational Physics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gnana M. Subramaniam, Prakash Vedula
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On a Generalized Bessel Function and an Integral Transform

Mathematische Nachrichten, 1971
Olkha, G. S., Rathie, P. N.
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