Finite symmetric trilinear integral transform of distributions. II.
Fourier Reconstruction in Tomography.
Fourier transforms in generalized Fock spaces.
Fourier transforms of Lipschitz functions on certain Lie groups.
Fourier-like kernels as solutions of ODE's.
Fractional Integration and Fractional Differentiation of the M-Series
Mathematics Subject Classification: 26A33, 33C60, 44A15In this paper a new special function called as M-series is introduced. This series is a particular case of the H-function of Inayat-Hussain. The M-series is interesting because the pFq -hypergeometric function and the Mittag-Leffler function follow as its particular cases, and these functions have recently found essential applications in solving problems in physics, biology, engineering and applied sciences. Let us note that the Mittag-Leffler ...
Functional equations and linear transformations - permutability and inversion. (Short Communication).
Fuzzy transforms in image compression and fusion
An overview of direct and inverse fuzzy transforms of three types is given and applications to data processing are considered. The construction and some important properties of fuzzy transforms are presented on the theoretical level. Three applications of -transform to data processing have been chosen: compressional and reconstruction of data, removing noise and data fusion. All of them successively exploit the filtering property of the inverse fuzzy transform.