Funciones valoradas (II).
Functional equations and linear transformations - permutability and inversion. (Short Communication).
Fuss-Catalan numbers in noncommutative probability.
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.
General Dirichlet series, arithmetic convolution equations and Laplace transforms
In the earlier paper [Proc. Amer. Math. Soc. 135 (2007)], we studied solutions g: ℕ → ℂ to convolution equations of the form , where are given arithmetic functions associated with Dirichlet series which converge on some right half plane, and also g is required to be such a function. In this article, we extend our previous results to multidimensional general Dirichlet series of the form (), where is an additive subsemigroup. If X is discrete and a certain solvability criterion is satisfied,...
General representability problem for the Laplace transform of exponentially bounded vector-valued functions
General Tauberian Remainder Theorems.
Generalisation of Bell polynomials and related operational formulas.
Generalizations of the Riemann-Lebesgue and Cantor-Lebesgue lemmas
Generalized analytic functions of Bogdan Ziemian
Definitions, properties, examples and applications of generalized analytic functions introduced by B. Ziemian are presented.
Generalized Angelescu polynomial
Generalized Convolution Transforms and Toeplitz Plus Hankel Integral Equations
Mathematics Subject Classification: 44A05, 44A35With the help of a generalized convolution and prove Watson’s and Plancherel’s theorems. Using generalized convolutions a class of Toeplitz plus Hankel integral equations, and also a system of integro-differential equations are solved in closed form.
Generalized convolutions IV
Generalized Laplace transform with matrix variables.
Generalized modified Struve transform
Generalized moment problem in vector lattices.
Generalized multidimensional Hilbert transforms in Clifford analysis.
Generalized Product Theorem for the Mellin Transform and Its Applications
Generalized Sobolev Spaces of Exponential Type Associated with the Dunkl Operators
2000 Mathematics Subject Classification: 35E45In this paper we study generalized Sobolev spaces H^sG of exponential type associated with the Dunkl operators based on the space G of test functions for generalized hyperfunctions and investigate their properties. Moreover, we introduce a class of symbols of exponential type and their associated pseudodifferential operators related to the Dunkl operators, which act naturally on H^sG.