ArticleOriginal scientific text
Title
Generalized analytic functions of Bogdan Ziemian
Authors 1
Affiliations
- Institute of Mathematics, Polish Academy of Sciences, P.O. Box 137, 00-950 Warszawa, Poland
Abstract
Definitions, properties, examples and applications of generalized analytic functions introduced by B. Ziemian are presented.
Keywords
Mellin transformation, Laplace distributions, special functions, singular differential operators
Bibliography
- [BI] J. Bros and D. Iagolnitzer, Causality and local analyticity; mathematical study, Ann. Inst. H. Poincaré 18 (1973), 147-184.
- [E] J. Ecalle, Les fonctions résurgentes, Publ. Math. Univ. Paris-Sud, several volumes.
- [H] L. Hörmander, The Analysis of Linear Partial Differential Operators I, Springer, 1983.
- [Ł] G. Łysik, Generalized analytic functions and a strong quasi-analyticity principle, Dissertationes Math. 340 (1995), 195-200.
- [SKK] M. Sato, T. Kawai and M. Kashiwara, Hyperfunctions and pseudodifferential equations, Lecture Notes in Math. 287, Springer, 1973, 263-529.
- [SZ] Z. Szmydt and B. Ziemian, The Mellin Transformation and Fuchsian Type Partial Differential Equations, Kluwer, 1992.
- [Z] B. Ziemian, Generalized analytic functions with applications to singular ordinary and partial differential equations, Dissertationes Math. 354 (1996).