Generalized analytic functions of Bogdan Ziemian

Grzegorz Łysik

Annales Polonici Mathematici (2000)

  • Volume: 74, Issue: 1, page 35-41
  • ISSN: 0066-2216

Abstract

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

How to cite

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Łysik, Grzegorz. "Generalized analytic functions of Bogdan Ziemian." Annales Polonici Mathematici 74.1 (2000): 35-41. <http://eudml.org/doc/208374>.

@article{Łysik2000,
abstract = {Definitions, properties, examples and applications of generalized analytic functions introduced by B. Ziemian are presented.},
author = {Łysik, Grzegorz},
journal = {Annales Polonici Mathematici},
keywords = {Mellin transformation; Laplace distributions; special functions; singular differential operators; generalized analytic functions},
language = {eng},
number = {1},
pages = {35-41},
title = {Generalized analytic functions of Bogdan Ziemian},
url = {http://eudml.org/doc/208374},
volume = {74},
year = {2000},
}

TY - JOUR
AU - Łysik, Grzegorz
TI - Generalized analytic functions of Bogdan Ziemian
JO - Annales Polonici Mathematici
PY - 2000
VL - 74
IS - 1
SP - 35
EP - 41
AB - Definitions, properties, examples and applications of generalized analytic functions introduced by B. Ziemian are presented.
LA - eng
KW - Mellin transformation; Laplace distributions; special functions; singular differential operators; generalized analytic functions
UR - http://eudml.org/doc/208374
ER -

References

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  1. [BI] J. Bros and D. Iagolnitzer, Causality and local analyticity; mathematical study, Ann. Inst. H. Poincaré 18 (1973), 147-184. Zbl0286.42016
  2. [E] J. Ecalle, Les fonctions résurgentes, Publ. Math. Univ. Paris-Sud, several volumes. Zbl0499.30034
  3. [H] L. Hörmander, The Analysis of Linear Partial Differential Operators I, Springer, 1983. Zbl0521.35001
  4. [Ł] G. Łysik, Generalized analytic functions and a strong quasi-analyticity principle, Dissertationes Math. 340 (1995), 195-200. Zbl0882.46018
  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. Zbl0771.35002
  7. [Z] B. Ziemian, Generalized analytic functions with applications to singular ordinary and partial differential equations, Dissertationes Math. 354 (1996). Zbl0868.46034

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