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Generalized Fourier Transforms Classes

Integral Transforms and Special Functions, 2002
The Fourier class of integral transforms with kernels B(\omega r) has by definition inverse transforms with kernel B(-\omega r). The space of such transforms is explicitly constructed. A slightly more general class of generalized Fourier transforms are introduced.
Svend Berntsen, Steen Moeller
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Generalized fourier transforms and inverse scattering

2005
A general theory of Fourier like transformations is developed. The theory allows the construction of the explicit solution of integral equations with kernels which are products of a Bessel and a Hankel function. Using the established transformation theory the time domain inverse medium acoustic scattering problem is represented by a coupled set of ...
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A generalized transform, grouping, Fourier, Laplace and Z transforms

The 14th International Conference on Microelectronics,, 2004
The following is a summary description of some research results that were taught to students over many years and communicated by the author in IEEE Proceedings submission, in the book proposals, and poster sessions. A generalized transform, grouping Fourier and Laplace transform in the continuous-time domain and Fourier and z transform in the discrete ...
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Integral Transforms and Special Functions

Integral Transforms and Special Functions, 2022
Sergey Volosivets
exaly  

Generalized Fourier Transforms of Distributions

Journal of the London Mathematical Society, 1968
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The Generalized Fourier Transforms

2008
V.S. Gerdjikov, G. Vilasi, A.B. Yanovski
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On a generalized fractional Fourier transform

AIP Conference Proceedings, 2023
Komal Prasad Sharma, Alok Bhargava
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Generalizations of the Fourier transform and their applications

2020
In this thesis, we consider a new generalization of the Fourier transform, depending on four complex parameters and all the powers of the Fourier transform. This new transform is studied in some Lebesgue spaces. In fact, taking into account the values of the parameters of the operator, we can have very different kernels and so, the corresponding ...
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A GENERALIZED FOURIER TRANSFORM

Progress in Analysis, 2003
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Fractional Fourier transform of tempered distributions and generalized pseudo-differential operator

Journal of Pseudo-Differential Operators and Applications, 2012
Manish Kumar, Akhilesh Prasad
exaly  

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