Numerical analytic continuation of holomorphic functions in C n
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 11 (1977) no. 1, pp. 75-92.

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Meyer, Harold D. Numerical analytic continuation of holomorphic functions in $C^n$. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 11 (1977) no. 1, pp. 75-92. http://geodesic.mathdoc.fr/item/M2AN_1977__11_1_75_0/

1. J. R. Cannon, Error Estimates for Some Unstable Continuation Problems, S.I.A.M. J., Vol. 12, 1964, pp. 270-284. | Zbl | MR

2. J. R. Cannon and J. Douglas, Jr., The Approximation of Harmonic and Parabolic Functions on Half-Spaces from Interior Data, Numerical Analysis of Partial Differential Equations (C.I.M.E., 2e Ciclo, Ispra, 1967), pp. 193-230. | Zbl | MR

3. J. Douglas, Jr., A Numerical Method for Analytic Continuation, in Boundary Value Problems in Differential Equations, R. E. LANGER (Editor), University of Wisconsin Press, Madison, 1960, pp. 179-189. | Zbl | MR

4. J. Douglas, Jr., Unstable Physical Problems and their Numerical Approximation, Lecture Notes, Rice University, Houston, Texas.

5. B. A. Fuks, Introduction to the Theory of Analytic Functions of Several Complex Variables. OGIZ. Moscow, 1948; English transl., Amer. Math. Soc, Transl., Vol. 8, 1963. | MR

6. S. I. Gass, Linear Programming Methods and Applications, McGraw-Hill, New York, 1958. | Zbl | MR

7. E. Hille, Analytic Function Theory, Vol. II, Blaisdell, Waltham, Mass., 1962. | Zbl | MR

8. K. Hoffman, Banach Spaces of Analytic Functions, Prentice-Hall, Englewood Cliffs, N. J., 1962. | Zbl | MR

9. G. Johnson, Jr., Harmonic Functions on the Unit Disc I, Illinois J. Math., Vol. 12, 1968, pp. 366-385. | Zbl | MR

10. H. D. Meyer, Thesis, The University of Chicago, Chicago, Illinois.

11. H. D. Meyer, A Representation for a Distributional Solution of the Heat Equation, SIAM J. Math. Anal., Vol. 5, 1974. | Zbl | MR

12. H. D. Meyer, Half-plane Representations and Harmonie Continuation, SIAM J. Math. Anal., Vol. 7. 1976, pp. 713-722; also (with SIAM permission) in Improperly Posed Boundary Value Problems, Pitman Publishing, London, 1975, pp. 24-38. | Zbl | MR

13. R. Saylor, Thesis, Jlice University, Houston, Texas, 1966.

14. R. Saylor, Numerical Elliptic Continuation, SIAM J. Numer. Anal., Vol. 4, 1967, pp. 575-581. | Zbl | MR