Voir la notice de l'article provenant de la source Cambridge University Press
Gauthier, Paul M. Mittag-Leffler Theorems on Riemann Surfaces and Riemannian Manifolds. Canadian journal of mathematics, Tome 50 (1998) no. 3, pp. 547-562. doi: 10.4153/CJM-1998-030-1
@article{10_4153_CJM_1998_030_1,
author = {Gauthier, Paul M.},
title = {Mittag-Leffler {Theorems} on {Riemann} {Surfaces} and {Riemannian} {Manifolds}},
journal = {Canadian journal of mathematics},
pages = {547--562},
year = {1998},
volume = {50},
number = {3},
doi = {10.4153/CJM-1998-030-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1998-030-1/}
}
TY - JOUR AU - Gauthier, Paul M. TI - Mittag-Leffler Theorems on Riemann Surfaces and Riemannian Manifolds JO - Canadian journal of mathematics PY - 1998 SP - 547 EP - 562 VL - 50 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1998-030-1/ DO - 10.4153/CJM-1998-030-1 ID - 10_4153_CJM_1998_030_1 ER -
[1] 1. Aronszajn, N., Sur les décompositions des fonctions analytiques uniformes et sur leur applications. Acta Math. 65(1935), 1–156. Google Scholar
[2] 2. Bagby, T. and Blanchet, P., Uniform approximation on Riemannian manifolds. J.Analyse Math. 62(1994), 47–76. Google Scholar
[3] 3. Berenstein, C.A. and Gay, R., Complex Variables. 1991, Springer-Verlag. Google Scholar
[4] 4. Boivin, A., Carleman approximation on Riemann surfaces. Math. Ann. 275(1986), 57–70. Google Scholar
[5] 5. Browder, F.E., Functional analysis and partial differential equations II. Math. Ann. 145(1962), 81–226. Google Scholar
[6] 6. Chavel, I., Riemannian Geometry: A Modern Introduction. 1993, Cambridge Univ. Press. Google Scholar
[7] 7. Deutsch, F., Simultaneous interpolation and approximation in topological linear spaces. SIAM J. Appl. Math. 14(1966), 1180–1190. Google Scholar
[8] 8. Gaier, D., Vorlesungen über Approximation im Komplexen. 1980, Birkhaüser. Google Scholar
[9] 9. Gardiner, S.J., Harmonic Approximation. 1995, Cambridge Univ. Press. Google Scholar
[10] 10. Gauthier, P.M., Meromorphic uniform approximation on closed subsets of open Riemann surfaces. In: Approximation Theory and Functional Analysis, 1979, (ed. Prolla, J.B.), North-Holland, 139–158. Google Scholar
[11] 11. Gauthier, P.M.,Goldstein, M. and Ow, W.H., Uniform approximation on closed sets by harmonic functions with Newtonian singularities. J. London Math. Soc. (2) 28(1983), 71–82. Google Scholar
[12] 12. Gauthier, P.M. and Hengartner, W., Approximation Uniforme Qualitative sur des Ensembles Non-bornés. 1982, Presses Univ. Montrèal. Google Scholar
[13] 13. Gauthier, P.M. and Tarkhanov, N.N., Degenerate cases of uniform approximation by solutions of systems with surjective symbols. Canad. J. Math. 45(1993), 740–757. Google Scholar
[14] 14. Gunning, R.C. and Narasimhan, R., Immersion of open Riemann surfaces. Math. Ann. 174(1967), 103–108. Google Scholar
[15] 15. Havin, V.P., Separation of singularities of analytic functions. Dokl. Akad. Nauk USSR 121(1958), 239–242. Google Scholar
[16] 16. Lehner, J., Discontinuous Groups and Automorphic Functions. 1964, Amer. Math. Soc. Google Scholar
[17] 17. Magnus, R.J., The spectrum and eigenspaces of a meromorphic operator-valued function. Proc. Royal Soc. Edinburgh 127(1997), 1027–1051. Google Scholar
[18] 18. Narasimhan, R., Analysis on Real and Complex Manifolds. 1973, North-Holland. Google Scholar
[19] 19. Rudin, W., Real and Complex Analysis. 1966, McGraw-Hill. Google Scholar
[20] 20. Saakian, R. Sh., Some applications of theorems on approximation by an analytic function. Izv. Akad. Nauk Armyan. SSR Ser. Mat. 24(1989), 259–268. English translation, Soviet J. Contemporary Math. Anal. 24(1989), 51–55. Google Scholar
[21] 21. Schulze, B.-W. and Wildenhain, G., Methoden der Potentialtheorie für elliptische Differentialgleichungen beliebiger Ordnung. 1977, Akademie-Verlag. Google Scholar
[22] 22. Springer, G., Introduction to Riemann Surfaces. 1957, Addison-Wesley. Google Scholar
[23] 23. Tarkhanov, N.N., Ryad Lorana dlya reshenii ellipticheskikh sistem. 1991, Nauka, Novosibirsk; English translation, The Analysis of Solutions of Elliptic Equations. 1997, Kluwer. Google Scholar
[24] 24. Tarkhanov, N.N., Approximation on compact sets by solutions of systems with surjective symbols. Uspekhi Mat. Nauk; English translation, Russian Math. Surveys 48(1993), 103–145. Google Scholar
Cité par Sources :