Complex boundary value problems
HTML articles powered by AMS MathViewer
- by P. R. Garabedian and D. C. Spencer PDF
- Trans. Amer. Math. Soc. 73 (1952), 223-242 Request permission
References
-
S. Bergman, Sur les fonctions orthogonales de plusieurs variables complexes, Mémorial des Sciences Mathématiques, vol. 106, Paris, 1947.
- Stefan Bergman, The Kernel Function and Conformal Mapping, Mathematical Surveys, No. 5, American Mathematical Society, New York, N. Y., 1950. MR 0038439
- S. Bergman and M. Schiffer, A representation of Green’s and Neumann’s functions in the theory of partial differential equations of second order, Duke Math. J. 14 (1947), 609–638. MR 22291
- Pierre Bidal and Georges de Rham, Les formes différentielles harmoniques, Comment. Math. Helv. 19 (1946), 1–49 (French). MR 16974, DOI 10.1007/BF02565944
- S. Bochner, Analytic and meromorphic continuation by means of Green’s formula, Ann. of Math. (2) 44 (1943), 652–673. MR 9206, DOI 10.2307/1969103
- Rud Fueter, Über einen Hartogs’schen Satz, Comment. Math. Helv. 12 (1939), 75–80 (German). MR 693, DOI 10.1007/BF01620640
- Rudolf Fueter, Über einen Hartogs’schen Satz in der Theorie der analytischen Funktionen von $n$ komplexen Variablen, Comment. Math. Helv. 14 (1942), 394–400 (German). MR 7445, DOI 10.1007/BF02565627
- P. R. Garabedian, A new formalism for functions of several complex variables, J. Analyse Math. 1 (1951), 59–80. MR 41941, DOI 10.1007/BF02790083
- P. R. Garabedian, A Green’s function in the theory of functions of several complex variables, Ann. of Math. (2) 55 (1952), 19–33. MR 46450, DOI 10.2307/1969416
- P. R. Garabedian and M. Schiffer, On existence theorems of potential theory and conformal mapping, Ann. of Math. (2) 52 (1950), 164–187. MR 36316, DOI 10.2307/1969517 G. Giraud, Équations et systèmes d’équations où figurent des valeurs principales d’intégrales, C. R. Acad. Sci. Paris vol. 204 (1937) pp. 628-630. W. V. D. Hodge, A Dirichlet problem for harmonic functionals, with applications to analytic varieties, Proc. London Math. Soc. vol. 36 (1934) pp. 257-303. —, The theory and applications of harmonic integrals, Cambridge, 1941. F. Noether, Über eine Klasse singulärer Integralgleichungen, Math. Ann. vol. 82 (1921) pp. 42-63.
- Menahem Schiffer, The kernel function of an orthonormal system, Duke Math. J. 13 (1946), 529–540. MR 19115
- Menahem Schiffer, Various types of orthogonalization, Duke Math. J. 17 (1950), 329–366. MR 39071
- W. Wirtinger, Zur formalen Theorie der Funktionen von mehr komplexen Veränderlichen, Math. Ann. 97 (1927), no. 1, 357–375 (German). MR 1512366, DOI 10.1007/BF01447872
Additional Information
- © Copyright 1952 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 73 (1952), 223-242
- MSC: Primary 30.0X
- DOI: https://doi.org/10.1090/S0002-9947-1952-0051326-X
- MathSciNet review: 0051326