Bulletin of the American Mathematical Society

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Book Information

Author(s): Harold S. Shapiro
Title: The Schwarz function and its generalization to higher dimensions
Additional book information: University of Arkansas Lecture Notes in the Mathematical Sciences, vol. 9, Wiley-Interscience, New York, 1992, xi+108 pp., US$59.95. ISBN 0-471-57127-X

[1]: P. J. Davis, \emph{The Schwarz function and its applications}, Math. Assoc. Amer., Washington, DC, 1974.
[2]: K. Friedrichs, On certain inequalities for analytic functions and for functions of two variables, Trans. Amer. Math. Soc. \textbf{41} (1937), 321--364.
[3]: N. Kerzman and E. Stein, The Cauchy kernel, the Szeg\"o kernel, and the Riemann mapping function, Math. Ann. \textbf{236} (1978), 85--93.
[4]: Z. Nehari, Conformal mapping, McGraw-Hill, New York, 1952.
[5]: M. Sakai, \emph{Quadrature domains}, Springer, Berlin, 1982.
[6]: M. Sakai, Regularity of a boundary having a Schwarz function, Acta Math. \textbf{166} (1991), 263--297.

Review Information:
Journal: Bull. Amer. Math. Soc. 31 (1994), 112-116.
DOI: 10.1090/S0273-0979-1994-00487-2
PII: S 0273-0979(1994)00487-2

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ISSN 1088-9485(e) ISSN 0273-0979(p)

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