• [1] Stefan Bergman, The Kernel Function and Conformal Mapping, Mathematical Surveys, No. 5, American Mathematical Society, New York, N. Y., 1950. MR 0038439
• [2] Stefan Bergman, Functions of extended class in the theory of functions of several complex variables, Trans. Amer. Math. Soc. 63 (1948), 523–547. MR 25583, https://doi.org/10.1090/S0002-9947-1948-0025583-9
• [3] S. Bochner, Functions of several complex variables, Princeton mimeographed notes, Princeton, 1936.
• [4] S. Bochner, Group invariance of Cauchy’s formula in several variables, Ann. of Math. (2) 45 (1944), 686–707. MR 11131, https://doi.org/10.2307/1969297
• [5] R. Courant and D. Hilbert, Methoden der mathematischen Physik, vol. 2, Springer, 1937.
• [6] G. F. D. Duff and D. C. Spencer, Harmonic tensors on Riemannian manifolds with boundary, Ann. of Math. (2) 56 (1952), 128–156. MR 48137, https://doi.org/10.2307/1969771
• [7] Loo-Keng Hua, On the theory of automorphic functions of a matrix level. I. Geometrical basis, Amer. J. Math. 66 (1944), 470–488. MR 11133, https://doi.org/10.2307/2371910
• [8] C. C. Macduffee, The theory of matrices, Ergebnisse der Mathematik und ihrer Grenzgebiete, Chelsea, 1946.
• [9] Josephine Mitchell, The kernel function in the geometry of matrices, Duke Math. J. 19 (1952), 575–583. MR 50690
• [10] Zeev Nehari, Conformal mapping, McGraw-Hill Book Co., Inc., New York, Toronto, London, 1952. MR 0045823
• [11] F. W. Ponting and H. S. A. Potter, The volume of orthogonal and unitary space, Quart. J. Math. Oxford Ser. 20 (1949), 146–154. MR 30929, https://doi.org/10.1093/qmath/os-20.1.146
• [12] L. Pontrjagin, Topological groups, Princeton University Press, 1946.
• [13] Carl Ludwig Siegel, Symplectic geometry, Amer. J. Math. 65 (1943), 1–86. MR 8094, https://doi.org/10.2307/2371774
• [14] O. Veblen, Invariants of quadratic differential forms, Cambridge Tracts in Mathematics and Mathematical Physics, No. 24, 1952.
• [15] K. Yano and S. Bochner, Curvature and Betti numbers, Annals of Mathematics Studies, No. 32, Princeton University Press, Princeton, N. J., 1953. MR 0062505
• [16] P. R. Garabedian and D. C. Spencer, A complex tensor calculus for Kähler manifolds, Acta Math. 89 (1953), 279–331. MR 63119, https://doi.org/10.1007/BF02393011
• [17] H. E. Rauch, A ``Poisson'' formula and the Hardy-Littlewood theorem for matrix spaces. Preliminary report, Bull. Amer. Math. Soc. Abstract 55-5-250.
• [18] Masao Sugawara, On the theory of harmonic functions in the general Poincaré-space, J. Fac. Sci. Imp. Univ. Tokyo Sect. I. 5 (1944), 1–32. MR 0015272

Bibliography

[1]

S. Bergman, The kernel function and conformal mapping, Mathematical Surveys, No. 5, 1950. MR 0038439 (12:402a)

[2]

-, Functions of extended class in the theory of functions of several complex variables, Trans. Amer. Math. Soc. vol. 63 (1948) pp. 523-547. MR 0025583 (10:30b)

[3]

S. Bochner, Functions of several complex variables, Princeton mimeographed notes, Princeton, 1936.

[4]

-, Group invariance of Cauchy's formula in several variables, Ann. of Math. vol. 45 (1944) pp. 686-707. MR 0011131 (6:123i)

[5]

R. Courant and D. Hilbert, Methoden der mathematischen Physik, vol. 2, Springer, 1937.

[6]

G. F. D. Duff and D. C. Spencer, Harmonic tensors on Riemannian manifolds with boundary, Ann. of Math. vol. 56 (1952) pp. 128-156. MR 0048137 (13:987a)

[7]

L. K. Hua, On the theory of automorphic functions of a matrix variable, Amer. J. Math. vol. 66 (1944) pp. 470-488. MR 0011133 (6:124b)

[8]

C. C. Macduffee, The theory of matrices, Ergebnisse der Mathematik und ihrer Grenzgebiete, Chelsea, 1946.

[9]

J. Mitchell, The kernel function in the geometry of matrices, Duke Math. J. vol. 19 (1952) pp. 575-584. MR 0050690 (14:368b)

[10]

Z. Nehari, Conformal mapping, McGraw-Hill, 1952. MR 0045823 (13:640h)

[11]

F. W. Ponting and H. S. A. Potter, The volume of orthogonal and unitary space, Quarterly Journal of Mathematics vol. 19-20 (1948-1949) pp. 146-154. MR 0030929 (11:75b)

[12]

L. Pontrjagin, Topological groups, Princeton University Press, 1946.

[13]

C. L. Siegel, Symplectic geometry, Amer. J. Math. vol. 65 (1943) pp. 1-86. MR 0008094 (4:242b)

[14]

O. Veblen, Invariants of quadratic differential forms, Cambridge Tracts in Mathematics and Mathematical Physics, No. 24, 1952.

[15]

K. Yano and S. Bochner, Curvature and Betti numbers, Annals of Mathematics Studies, No. 32, Princeton University Press, 1953. MR 0062505 (15:989f)

[16]

P. R. Garabedian and D. C. Spencer, A complex tensor calculus for Kähler manifolds, Acta Math. vol. 89 (1953) pp. 279-330. MR 0063119 (16:74a)

[17]

H. E. Rauch, A ``Poisson'' formula and the Hardy-Littlewood theorem for matrix spaces. Preliminary report, Bull. Amer. Math. Soc. Abstract 55-5-250.

[18]

M. Sugaward, On the theory of harmonic functions in the general Poincaré-space, J.Fac. Sci. Imp. Univ. Tokyo. Sect. I vol. 5 (1944) pp. 1-32. MR 0015272 (7:395f)