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Geometric criteria for holomorphy of functions. (English. Russian original) Zbl 1176.31003

Dokl. Math. 79, No. 3, 428-429 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 426, No. 6, 738-739 (2009).

MSC:

31A05 Harmonic, subharmonic, superharmonic functions in two dimensions
30A99 General properties of functions of one complex variable
Full Text: DOI

References:

[1] V. K. Dzyadyk, Usp. Mat. Nauk 15(1), 191–194 (1960).
[2] A. Goodman, Am. Math. Monthly 71, 265–267 (1964). · Zbl 0122.31602 · doi:10.2307/2312181
[3] Yu. Yu. Trokhimchuk, Ukr. Mat. Zh. 59(10), 1410–1418 (2007). · Zbl 1164.30300 · doi:10.1007/s11253-008-0008-9
[4] V. V. Volchkov, Integral Geometry and Convolution Equations (Kluwer, Dordrecht, 2003). · Zbl 1043.53003
[5] V. V. Volchkov, Mat. Zametki 60(6), 804–809 (1996). · doi:10.4213/mzm1898
[6] L. Zalcman, in Approximation by Solutions of Partial Differential Equations (Kluwer, Dordrecht, 1992), pp. 185–194. · Zbl 0830.26005
[7] L. Zalcman, Contemp. Math. 278, 69–74 (2001). · doi:10.1090/conm/278/04595
[8] C. A. Berenstein and D. C. Struppa, in Encyclopedia of Mathematical Sciences (Springer, Berlin, 1993), Vol. 54, pp. 1–108.
[9] S. Helgason, Groups and Geometric Analysis (Academic, Orlando, FL, 1984; Mir, Moscow, 1987). · Zbl 0543.58001
[10] V. V. Volchkov, Mat. Zametki 53(2), 30–36 (1993).
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