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.
Generalized Laplace transform with matrix variables.
Generalized modified Struve transform
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.