complex analysis

### Contact Information

 E-mail bernhard.lamel(at)univie.ac.at Phone 0043-(0)1-4277-50687 Fax 0043-(0)1-4277-50750 Office AN 110 Postal address Department of MathematicsUniversity of ViennaOskar Morgenstern Platz 11090 ViennaAustria

### Research Interests

My main research interest is the biholomorphically invariant geometry of real submanifolds in complex spaces, often referred to as CR (or Cauchy-Riemann) geometry. They possess very strong rigidity properties, which makes them geometrically quite appealing. In particular, I am interested in classification problems arising in this context, as well as in structural properties of sets of mapping.

Another important focus of my work is in the application of boundary geometry of domains to the function theory on them, and I am also interested in more general systems of PDEs than the Cauchy-Riemann equations.

### Selected Publications

 2014 [26] On the analyticity of CR-diffeomorphisms (I. Kossovskiy, B. Lamel), In ArXiv e-prints, 2014. [bib] [pdf] 2013 [25] On the vanishing rate of smooth CR functions (Giuseppe Della Sala, Bernhard Lamel), 2013. (Preprint, to appear in Proc. Am. Math. Soc., series B) [bib] [24] CR functions and their formal expansions (Giuseppe Della Sala, Bernhard Lamel), In Bull. Inst. Math. Ac. Sin., volume 8, 2013. [bib] 2012 [23] Formal Theory of Segre varieties (Giuseppe Della Sala, Bernhard Lamel, Robert Juhlin), In Ill. Journ. Math., volume 56, 2012. [bib] 2011 [22] Jet embeddebality of automorphism groups of CR manifolds (Bernhard Lamel), In Geometric Analysis of Several Complex Variables and Related Topics, Contemporary Mathematics, vol. 550, 2011. [bib] [21] Holomorphic Equivalence and nonlinear symmetries of ruled hypersurfaces in (Martin Kolar, Bernhard Lamel), 2011. (Preprint, submitted) [bib] [20] Parametrizations for deformations of CR manifolds and applications (Giuseppe Della Sala, Bernhard Lamel, Robert Juhlin), 2011. (Preprint, submitted) [bib] 2010 [19] Asymptotic approximations and a Borel-type result for CR functions (Giuseppe Della Sala, Bernhard Lamel), 2010. (Preprint, submitted) [bib] [18] Formal meromorphic functions on manifolds of finite type (Robert Juhlin, Bernhard Lamel, Francine Meylan), In Pure Appl. Math. Q., volume 6, 2010. [bib] [pdf] [17] Holomorphic versus algebraic equivalence for deformations of real-algebraic Cauchy-Riemann manifolds (Bernhard Lamel, Nordine Mir), In Comm. Anal. Geom., volume 18, 2010. [bib] [pdf] [16] On maps between nonminimal hypersurfaces (Robert Juhlin, Bernhard Lamel), In Math. Z., 2010. (DOI 10.1007/s00209-012-1017-9) [bib] [pdf] 2009 [15] Degenerate real hypersurfaces in with few automorphisms (Peter Ebenfelt, Bernhard Lamel, Dmitri Zaitsev), In Trans. Amer. Math. Soc., volume 361, 2009. [bib] [pdf] [doi] 2008 [14] Lie group structures on automorphism groups of real-analytic CR manifolds (Bernhard Lamel, Nordine Mir, Dmitri Zaitsev), In Amer. J. Math., volume 130, 2008. [bib] [pdf] [doi] [13] Spectral properties of the canonical solution operator to (Friedrich Haslinger, Bernhard Lamel), In J. Funct. Anal., volume 255, 2008. [bib] [pdf] [doi] [12] Local automorphisms of the Hilbert ball (Bernhard Lamel), In Proc. Amer. Math. Soc., volume 136, 2008. [bib] [pdf] [doi] 2007 [11] Finite jet determination of CR mappings (Bernhard Lamel, Nordine Mir), In Adv. Math., volume 216, 2007. [bib] [pdf] [doi] [10] Finite jet determination of local CR automorphisms through resolution of degeneracies (Bernhard Lamel, Nordine Mir), In Asian J. Math., volume 11, 2007. [bib] [pdf] [9] Parametrization of local CR automorphisms by finite jets and applications (Bernhard Lamel, Nordine Mir), In J. Amer. Math. Soc., volume 20, 2007. [bib] [pdf] [doi] 2006 [8] Remarks on the rank properties of formal CR maps (Bernhard Lamel, Nordine Mir), In Sci. China Ser. A, volume 49, 2006. [bib] [pdf] [doi] [7] On the stability group of CR manifolds (Bernhard Lamel, Nordine Mir), In C. R. Math. Acad. Sci. Paris, volume 343, 2006. [bib] [pdf] [doi] [6] Explicit bounds for the finite jet determination problem (Bernhard Lamel), In Trans. Amer. Math. Soc., volume 358, 2006. [bib] [pdf] [doi] 2004 [5] A $C^infty$-regularity theorem for nondegenerate CR mappings (Bernhard Lamel), In Monatsh. Math., volume 142, 2004. [bib] [pdf] [doi] [4] Finite jet determination of CR embeddings (Peter Ebenfelt, Bernhard Lamel), In J. Geom. Anal., volume 14, 2004. [bib] [pdf] 2003 [3] Finite jet determination of local analytic CR automorphisms and their parametrization by 2-jets in the finite type case (P. Ebenfelt, B. Lamel, D. Zaitsev), In Geom. Funct. Anal., volume 13, 2003. [bib] [pdf] [doi] 2001 [2] Holomorphic maps of real submanifolds in complex spaces of different dimensions (Bernhard Lamel), In Pacific J. Math., volume 201, 2001. [bib] [pdf] [doi] [1] A reflection principle for real-analytic submanifolds of complex spaces (Bernhard Lamel), In J. Geom. Anal., volume 11, 2001. [bib] [pdf]
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Offenlegung nach Par. 25 Mediengesetz: Für den Inhalt verantwortlich: Fakultät für Mathematik, Universität Wien