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A bibliographic survey of the Pompeiu problem. (English) Zbl 0830.26005
Approximation by solutions of partial differential equations, Proc. NATO Adv. Res. Workshop, Hanstholm/Den. 1991, NATO ASI Ser., Ser. C 365, 185-194 (1992).
The author has made a major contribution to the mathematical community by publishing a survey of the recent literature on the Pompeiu problem and related questions. This should be considered together with his beautiful introduction to the subject published in Am. Math. Mon. 87, 161-175 (1980; Zbl 0433.53048)]. There are few additional references that can be obtained from the author upon request.
For the entire collection see [Zbl 0744.00033].

MSC:
26B15 Integration of real functions of several variables: length, area, volume
26-03 History of real functions
01A60 History of mathematics in the 20th century
43A75 Harmonic analysis on specific compact groups
43A85 Harmonic analysis on homogeneous spaces
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