ArticleOriginal scientific text

Title

Generalized analytic functions of Bogdan Ziemian

Authors 1

Affiliations

  1. 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

  1. [BI] J. Bros and D. Iagolnitzer, Causality and local analyticity; mathematical study, Ann. Inst. H. Poincaré 18 (1973), 147-184.
  2. [E] J. Ecalle, Les fonctions résurgentes, Publ. Math. Univ. Paris-Sud, several volumes.
  3. [H] L. Hörmander, The Analysis of Linear Partial Differential Operators I, Springer, 1983.
  4. [Ł] G. Łysik, Generalized analytic functions and a strong quasi-analyticity principle, Dissertationes Math. 340 (1995), 195-200.
  5. [SKK] M. Sato, T. Kawai and M. Kashiwara, Hyperfunctions and pseudodifferential equations, Lecture Notes in Math. 287, Springer, 1973, 263-529.
  6. [SZ] Z. Szmydt and B. Ziemian, The Mellin Transformation and Fuchsian Type Partial Differential Equations, Kluwer, 1992.
  7. [Z] B. Ziemian, Generalized analytic functions with applications to singular ordinary and partial differential equations, Dissertationes Math. 354 (1996).
Pages:
35-41
Main language of publication
English
Received
2000-02-28
Published
2000
Exact and natural sciences