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Generalized Fourier Transforms Classes
Integral Transforms and Special Functions, 2002The 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
2005A 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,, 2004The 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, 2022Sergey Volosivets
exaly
Generalized Fourier Transforms of Distributions
Journal of the London Mathematical Society, 1968openaire +1 more source
The Generalized Fourier Transforms
2008V.S. Gerdjikov, G. Vilasi, A.B. Yanovski
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On a generalized fractional Fourier transform
AIP Conference Proceedings, 2023Komal Prasad Sharma, Alok Bhargava
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Generalizations of the Fourier transform and their applications
2020In 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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Fractional Fourier transform of tempered distributions and generalized pseudo-differential operator
Journal of Pseudo-Differential Operators and Applications, 2012Manish Kumar, Akhilesh Prasad
exaly

