Publications of Egmont Porten

Monograph

1. (with J. Merker) Holomorphic Extension of CR Functions, Envelopes of Holomorphy, and Removable Singularities. International Mathematics Research Surveys IMRS Volume 2006, Article ID 28925, p.1-286 (2006).

Qualifying monographs

2. Ein Dualitätssatz für Hardyräume auf streng pseudokonvexen Gebieten. Diploma thesis, Universität Bonn 1993 (42 p.).

3. Hebbare Singularitäten von CR-Funktionen und analytische Fortsetzung von Teilen nicht-pseudokonvexer Ränder. Doctoral thesis, Humboldt-Universität zu Berlin 1997 (87 p.).

4. Geometric Methods in the Study of CR Functions and their Singularities. Habilitation thesis, Humboldt-Universität zu Berlin 2004 (167 p.).

Published articles

5. (with J. Merker) On the local meromorphic extension of CR meromorphic mappings. Ann. Polon. Math. 70, 163-193 (1998).

6. (with J. Merker) On removable singularities for integrable CR functions. Indiana Univ. Math. J. 48, 805-856 (1999).

7. (with J. Merker) Enveloppe d'holomorphie locale des variétés CR et élimination des singularités pour les fonctions CR intégrables. C. R. Acad. Sci. Paris 328, Série I, 853-858 (1999).

8. (with J. Merker) Metrically thin singularities of integrable CR functions. Internat. J. Math. 11, 857-872 (2000).

9. On the Hartogs-phenomenon and extension of analytic hypersurfaces in non-separated Riemann domains. Complex Variables 47, 325-332 (2002).

10. (with J. Merker) On wedge extendability of CR-meromorphic functions. Math. Z. 241, 485-512 (2002).

11. (with C. Laurent-Thiébaut) Analytic extension from non-pseudoconvex boundaries and A(D)-convexity. Ann. Inst. Fourier 53, 847-857 (2003).

12. Totally real discs in non-pseudoconvex boundaries. Ark. Mat. 41, 133-150 (2003).

13. (with C. D. Hill) The H-principle and pseudoconcave CR manifolds. Contemporary Mathematics 389, 117-125 (2005).

14. On generalized tube domains over Cⁿ. Complex Variables 50, 1-5 (2005).

15. (with J. Merker) Characteristic foliations on maximally real submanifolds of Cⁿ and removable singularities for CR functions. International Mathematics Research Papers IMRP Volume 2006, Article ID 72069, p.1-131 (2006)

16. (with B. Jöricke) On the continuity principle. Asian J. Math. 11, 167-178 (2007).

17. (with J. Merker) A geometrical proof of the Hartogs extension theorem. Journal of Geometrical Analysis 17, 513-546 (2007).

18. Local envelopes on CR manifolds. J. Gen. Lie Th. and Appl. 3 (2008).

19. (with J. Merker) The Hartogs extension theorem on (n-1)-complete complex spaces. J. Reine Angew. Math. (Crelle Journal) 637, 23-39 (2009).

20. (with A. Altomani, C. D. Hill, M. Nacinovich) Complex vector fields and hypoelliptic partial differential operators. Ann. Inst. Fourier 60, 987-1034 (2010).

21. (with A. Altomani, C. D. Hill, M. Nacinovich) Holomorphic extension from weakly pseudoconcave CR manifolds. Rend. Semin. Mat. Univ. Padova 123, 69-90 (2010).

22. The Hartogs phenomenon on weakly pseudoconcave hypersurfaces. Math. Ann 354, 659-683 (2012).

23. (with M. Nacinovich) C^∞-hypoellipticity and extension of CR functions. Accepted 2013 in the Annali della Scuola Normale Superiore di Pisa. See also (http://arxiv.org/abs/1201.1704)

24. Two-dimensional slices of nonpseudoconvex domains with rough boundary. Accepted 2014 in Math. Z.

Selected preprints

25. A Hartogs-type theorem for meromorphic mappings. Manuscript, Paris 1998 (cited in Dolbeaut, Henkin, Bull. Soc. Math. France 125).

26. (with J. Merker) On wedge extendability of CR-meromorphic functions: the minimal case. Prépublication Université Provence, Marseille 2001 (http://arxiv.org/abs/math/0006178).

27. (with B. Jöricke) Hulls and analytic extension from non-pseudoconvex boundaries. Preprint, Uppsala U.U.D.M.-Reports 2002:19.

28. (with A. Lind) On thickening of holomorphic hulls and envelopes of holomorphy on Stein spaces. Mid Sweden University Mathematics Reports

2011, no. 3, 15 p., ISSN 1400-4789.

29. (with A. Daghighi) A sharp maximum principle for continuous CR functions. Preprint 2013.