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Functions of extended class in the theory of functions of several complex variables. (English) Zbl 0034.05304


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[1] Stefan Bergman, Über die Kernfunktion eines Bereiches und ihr Verhalten am Rande, J. Reine Angew. Math. vol. 169 (1933) pp. 1-42, and vol. 172 (1934) pp. 89-128. · Zbl 0006.06604
[2] -, Über eine in gewissen Bereichen mit Maximumfläche gültige Integralderstellung der Funktionen zweier komplexer Variabler, Math. Zeit. vol. 39 (1935) pp. 76-94 and 605-608. · Zbl 0009.26202
[3] -, Über eine Integraldarstellung von Funktionen zweier komplexer Veränderlichen, Rec. Math. (Mat. Sbornik) N. S. vol. 1 (1936) pp. 851-862. · JFM 62.1220.04
[4] Stefan Bergmann, Über meromorphe Funktionen von zwei komplexen Veränderlichen, Compositio Math. 6 (1939), 305 – 335 (German). · Zbl 0020.37901
[5] -, Theory of pseudo-conformal transformations and its connection with differential geometry, Notes on lectures delivered at the Massachusetts Institute of Technology, 1939-1940 (available at the Brown University library).
[6] Stefan Bergman, On the surface integrals of functions of two complex variables, Amer. J. Math. 63 (1941), 295 – 318. · Zbl 0025.26203 · doi:10.2307/2371525
[7] Stefan Bergman, Über uneigentliche Flächenintegrale in der Theorie der analytischen Funktionen von zwei komplexen Veränderlichen, Revista Ci., Lima 43 (1941), 675 – 682 (German). · Zbl 0060.24107
[8] Stefan Bergman, The behavior of the kernel function at boundary points of the second order, Amer. J. Math. 65 (1943), 679 – 700. · Zbl 0060.24203 · doi:10.2307/2371875
[9] Stefan Bergman and Menahem Schiffer, Bounded functions of two complex variables, Amer. J. Math. 66 (1944), 161 – 169. · Zbl 0060.24204 · doi:10.2307/2371981
[10] Lipman Bers, On bounded analytic functions of two complex variables in certain domains with distinguished boundary surface, Amer. J. Math. 64 (1942), 514 – 530. · Zbl 0060.24401 · doi:10.2307/2371701
[11] Abe Gelbart, On the growth properties of a function of two complex variables given by its power series expansion, Trans. Amer. Math. Soc. 49 (1941), 199 – 210. · Zbl 0024.42303
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