Book Review
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MathSciNet review:
1568185
Full text of review:
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Book Information:
Author:
Manfred Stoll
Title:
Invariant potential theory in the unit ball of $\C^n$
Additional book information:
London Math. Soc. Lecture Note Ser., vol. 199, Cambridge University Press, London and New York, 1994, x + 173 pp., US$29.95. ISBN 0-521-46830-2.
[1] Elie Cartan, Sur les domaines bornés homogénes de l'espace de n variables complexes, Abh. Math. Sem. Univ. Hamburg 11 (1935), 116-162.
G. B. Folland, Spherical harmonic expansion of the Poisson-Szegő kernel for the ball, Proc. Amer. Math. Soc. 47 (1975), 401–408. MR 370044, DOI 10.1090/S0002-9939-1975-0370044-2
Harry Furstenberg, A Poisson formula for semi-simple Lie groups, Ann. of Math. (2) 77 (1963), 335–386. MR 146298, DOI 10.2307/1970220
Sigurdur Helgason, Groups and geometric analysis, Pure and Applied Mathematics, vol. 113, Academic Press, Inc., Orlando, FL, 1984. Integral geometry, invariant differential operators, and spherical functions. MR 754767
[5] J. E. Littlewood, On functions subharmonic in a circle. III, Proc. London Math. Soc. 32 (1931), 222-234.
Walter Rudin, Function theory in the unit ball of $\textbf {C}^{n}$, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 241, Springer-Verlag, New York-Berlin, 1980. MR 601594
David Ullrich, Radial limits of $M$-subharmonic functions, Trans. Amer. Math. Soc. 292 (1985), no. 2, 501–518. MR 808734, DOI 10.1090/S0002-9947-1985-0808734-8
- [1]
- Elie Cartan, Sur les domaines bornés homogénes de l'espace de n variables complexes, Abh. Math. Sem. Univ. Hamburg 11 (1935), 116-162.
- [2]
- Gerald B. Folland, Spherical harmonic expansion of the Poisson-Szegö kernel for the ball, Proc. Amer. Math. Soc. 47 (1975), 401-408. MR 0370044 (51:6273)
- [3]
- H. Fürstenberg, A Poisson formula for semisimple Lie groups, Ann. of Math. 77 (1963), 335-386. MR 0146298 (26:3820)
- [4]
- Sigurdur Helgason, Groups and geometric analysis, Academic Press, New York, 1984. MR 754767 (86c:22017)
- [5]
- J. E. Littlewood, On functions subharmonic in a circle. III, Proc. London Math. Soc. 32 (1931), 222-234.
- [6]
- Walter Rudin, Function theory in the unit ball of
, Springer-Verlag, New York, 1980. MR 601594 (82i:32002)
- [7]
- David Ullrich, Radial limits of
-subharmonic functions, Trans. Amer. Math. Soc. 292 (1985), 501-518. MR 808734 (87a:31007)
Review Information:
Reviewer:
Walter Rudin
Journal:
Bull. Amer. Math. Soc.
32 (1995), 360-365
DOI:
https://doi.org/10.1090/S0273-0979-1995-00603-8
