Generalized analytic functions of Bogdan Ziemian

• Autorzy: Grzegorz Łysik
• Języki publikacji: EN

Abstrakty

EN

Definitions, properties, examples and applications of generalized analytic functions introduced by B. Ziemian are presented.

Słowa kluczowe

EN

Mellin transformation; Laplace distributions; special functions; singular differential operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2000
• Tom: 74
• Numer: 1
• Strony: 35-41

Daty

wydano

2000

otrzymano

2000-02-28

Twórcy

autor

Grzegorz Łysik

• Institute of Mathematics, Polish Academy of Sciences, P.O. Box 137, 00-950 Warszawa, Poland

Bibliografia

• [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).