On extensions of the Mittag-Leffler theorem

• Autorzy: Ewa Ligocka
• Języki publikacji: EN

Abstrakty

EN

The classical Mittag-Leffler theorem on meromorphic functions is extended to the case of functions and hyperfunctions belonging to the kernels of linear partial differential operators with constant coefficients.

Słowa kluczowe

EN

hyperfunction   Laurent expansion   elliptic   polyharmonic   hypoelliptic   P-convex for supports  

Kategorie tematyczne

• 30B10: Power series (including lacunary series)
• 31B30: Biharmonic and polyharmonic equations and functions
• 35E20: General theory
• 31B05: Harmonic, subharmonic, superharmonic functions
• 32A45: Hyperfunctions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1998
• Tom: 68
• Numer: 3
• Strony: 249-256

Daty

wydano

1998

otrzymano

1997-04-28

poprawiono

1997-11-20

Twórcy

autor

Ewa Ligocka

• Department of Mathematics, Informatics and Mechanics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland

Bibliografia

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• [6] R. Harvey and J. C. Polking, A Laurent expansion for solutions to elliptic equations, Trans. Amer. Math. Soc. 180 (1973), 407-413.
• [7] L. Hörmander, The Analysis of Linear Partial Differential Operators I, II, Springer, 1983.
• [8] V. P. Palamodov, Linear Differential Operators with Constant Coefficients, Nauka, Moscow, 1967 (in Russian).
• [9] P. Schapira, Théorie des Hyperfonctions, Lecture Notes in Math. 126, Springer, 1970.
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