Power series methods and multisummability

Mathematische Nachrichten

Volumn 212, Issue , 2000, Pages 37-50

  Balser, Werner ^a   Braun, Rüdiger W ^b  

^a UNIVERSITY OF ULM   (Germany)

^b HEINRICH HEINE UNIVERSITY   (Germany)

Author keywords

Multisummability

Indexed keywords

EID: 0039014119     PISSN: 0025584X     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1522-2616(200004)212:1<37::AID-MANA37>3.0.CO;2-P     Document Type: Article

References (12)

1. BALSER, W.: A Different Characterization of Multisummable Power Series, Analysis 12 (1992), 57-65
2. BALSER, W.: Addendum to my paper: A Different Characterization of Multi-Summable Power Series, Analysis 13 (1993), 317-319
3. BALSER, W.: From Divergent Power Series to Analytic Functions, Lecture Notes in Math. Vol. 1582, Springer-Verlag, 1994
4. BALSER, W.: A Problem for Entire Functions, Arising from the Theory of Multisummability, Ulmer Seminare - Funktionalanalysis und Differentialgleichungen, University of Ulm, 1996
5. BALSER, W., and BECK, A.: Necessary and Sufficient Conditions for Matrix Summability Methods to be Stronger than Multisummability, Ann. Inst. Fourier Grenoble 46 (1996), 1349-1357
6. JURKAT, W. B.: Summability of Asymptotic Power Series, Asympt. Anal. 7 (1993), 239-250
7. LEVIN, B. JA.: Distribution of Zeros of Entire Functions, Translations of Mathematical Monographs, Vol. 5, Amer. Math. Soc., 1980, Translated from the Russian
8. MALGRANGE, B.: Sommation de Séries Divergentes, Exp. Math. 13 (1995), 163-222
9. RAMIS, J.-P.: Séries Divergentes et Théories Asymptotiques, Panoramas et Synthèses, Vol. 121, Soc. Math. France, 1993
10. REMMERT, R.: Funktionentheorie I und II, Springer-Verlag, 1991
11. SANSONE, G., and GERRETSEN, J.: Lectures on the Theory of Functions of a Complex Variable, P. Noordhoff, 1960
12. SHAWYER, B., and WATSON, B.: Borel's Methods of Summability, Clarendon Press, Oxford, 1994