Eine axiomatische Charakterisierung der Hilbert-Transformation
Entire elliptic Hankel convolution equations
In this paper we characterize the entire elliptic Hankel convolutors on tempered distributions in terms of the growth of their Hankel transforms.
Ergodic theorems for certain power bounded operators.
Estimates for double Hilbert transform
Estimates of convolutions of certain number-theoretic error terms.
Exakte Größenordnung für das Randverhalten des Poissonschen Integrals von BMO-Funktionen und VMO-Funktionen
Expansion of a class of functions into an integral involving associated Legendre functions.
Expansion Of Kampé De Fériet's Function
Expansion of Kampé de Fériet's function.
Extrapolation and sharp norm estimates for classical operators on weighted Lebesgue spaces.
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.
Ganze Funktionen mit einer vorgeschriebenen asymptotischen Entwicklung.
Generalized analytic functions of Bogdan Ziemian
Definitions, properties, examples and applications of generalized analytic functions introduced by B. Ziemian are presented.