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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• [3] M. Brelot, Eléments de la théorie classique du potentiel, 2-ème éd., Paris, 1961.
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• [5] S. J. Gardiner, Harmonic Approximation, London Math. Soc. Lecture Note Ser. 221, Cambridge Univ. Press, 1995.
• [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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• [12] N. N. Tarkhanov, The Analysis of Solutions of Elliptic Equations, Kluwer, Dordrecht, 1997.
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