The envelope of holomorphy of a classical truncated tube domain

The envelope of holomorphy of a classical truncated tube domain
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by Marek Jarnicki and Peter Pflug PDF

Proc. Amer. Math. Soc. 150 (2022), 687-689 Request permission

We present the envelope of holomorphy of a classical truncated tube domain.

References

S.M. Ivaškovič, Envelopes of holomorphy of some tube sets in $\CC ^2$ and the monodromy theorem, Math. USSR, Izv. 19 (1982), 189-196.
Marek Jarnicki and Peter Pflug, Separately analytic functions, EMS Tracts in Mathematics, vol. 16, European Mathematical Society (EMS), Zürich, 2011. MR 2840986, DOI 10.4171/098
Marek Jarnicki and Peter Pflug, Extension of holomorphic functions, De Gruyter Expositions in Mathematics, vol. 34, De Gruyter, Berlin, [2020] ©2020. Second extended edition [of 1797263]. MR 4201928, DOI 10.1515/9783110630275
J. Noguchi, A brief proof of Bochner’s tube theorem and a generalized tube, arXiv:2007.04597v1.
Joji Kajiwara, On the envelope of holomorphy of a generalized tube in $C^{n}$, K\B{o}dai Math. Sem. Rep. 15 (1963), 106–110. MR 151637
Bernard Shiffman, On the removal of singularities of analytic sets, Michigan Math. J. 15 (1968), 111–120. MR 224865
N. G. Karpova, On the removal of singularities of plurisubharmonic functions, Mat. Zametki 49 (1991), no. 3, 35–40, 158 (Russian); English transl., Math. Notes 49 (1991), no. 3-4, 252–256. MR 1110304, DOI 10.1007/BF01158297
Peter Pflug, Ein Fortsetzungssatz für plurisubharmonische Funktionen über reell-$2$-kodimensionale Flächen, Arch. Math. (Basel) 33 (1979/80), no. 6, 559–563 (German). MR 570493, DOI 10.1007/BF01222801