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Research Output 1998 2019

  • 193 Citations
  • 8 h-Index
  • 26 Article
  • 1 Editorial
2019

Formal versus analytic CR mappings

Lamel, B. & Mir, N., 1 Jan 2019, In : Annales Polonici Mathematici. 123, 1, p. 387-422 36 p.

Research output: Contribution to journalArticle

CR Mappings
CR-submanifold
Analytic Set
Holomorphic Mappings
Submanifolds

Regularity of CR mappings of abstract CR structures

Lamel, B. & Mir, N., 1 Jan 2019, (Accepted/In press) In : International Journal of Mathematics. 2050009.

Research output: Contribution to journalArticle

CR Mappings
CR Structure
Regularity
CR Manifold
Tangent line
2018
2 Citations (Scopus)

Convergence and divergence of formal CR mappings

Lamel, B. & Mir, N., 1 Jan 2018, In : Acta Mathematica. 220, 2, p. 367-406 40 p.

Research output: Contribution to journalArticle

Open Access
CR Mappings
Divergence
3 Citations (Scopus)

On the C regularity of CR mappings of positive codimension

Lamel, B. & Mir, N., 7 Sep 2018, In : Advances in Mathematics. 335, p. 696-734 39 p.

Research output: Contribution to journalArticle

CR Mappings
Codimension
Regularity
CR-submanifold
Proper Map
2017
4 Citations (Scopus)

Convergence of formal CR mappings into strongly pseudoconvex Cauchy–Riemann manifolds

Lamel, B. & Mir, N., 1 Dec 2017, In : Inventiones Mathematicae. 210, 3, p. 963-985 23 p.

Research output: Contribution to journalArticle

CR Mappings
Pseudoconvex
CR-submanifold
Holomorphic Mappings
Holomorphic Maps
2016
4 Citations (Scopus)

Holomorphic Deformations of Real-Analytic CR Maps and Analytic Regularity of CR Mappings

Mir, N., 27 Sep 2016, (Accepted/In press) In : Journal of Geometric Analysis. p. 1-20 20 p.

Research output: Contribution to journalArticle

CR Mappings
Regularity
CR-submanifold
Subset
Analyticity
1 Citation (Scopus)

On Artin approximation for formal CR mappings

Mir, N., 2016, In : Mathematical Research Letters. 23, 1, p. 221-244 24 p.

Research output: Contribution to journalArticle

CR Mappings
Approximation Property
Holomorphic Maps
Approximation
CR-submanifold
2015

Preface

Baklouti, A., El Kacimi, A., Kallel, S. & Mir, N., 2015, In : Springer Proceedings in Mathematics and Statistics. 127, p. V-VI

Research output: Contribution to journalEditorial

2012
5 Citations (Scopus)

Algebraic approximation in CR geometry

Mir, N., Jul 2012, In : Journal des Mathematiques Pures et Appliquees. 98, 1, p. 72-88 17 p.

Research output: Contribution to journalArticle

Geometry
Approximation
CR-submanifold
Algebraic Set
Holomorphic Mappings
2010
1 Citation (Scopus)

Holomorphic versus algebraic equivalence for deformations of real-algebraic Cauchy-Riemann manifolds

Lamel, B. & Mir, N., Dec 2010, In : Communications in Analysis and Geometry. 18, 5, p. 891-925 35 p.

Research output: Contribution to journalArticle

Cauchy
Equivalence
CR-submanifold
Equivalence Problem
Submanifolds
2008
5 Citations (Scopus)

Lie group structures on automorphism groups of real-analytic CR manifolds

Lamel, B., Mir, N. & Zaitsev, D., Dec 2008, In : American Journal of Mathematics. 130, 6, p. 1709-1726 18 p.

Research output: Contribution to journalArticle

CR Manifold
Automorphism Group
Stein Manifold
Hypersurface
Automorphisms
2007
4 Citations (Scopus)

Finite jet determination of CR mappings

Lamel, B. & Mir, N., 1 Dec 2007, In : Advances in Mathematics. 216, 1, p. 153-177 25 p.

Research output: Contribution to journalArticle

CR Mappings
Holomorphic Mappings
Finite Type
Submanifolds
Integer
5 Citations (Scopus)

Finite jet determination of local CR automorphisms through resolution of degeneracies

Lamel, B. & Mir, N., Jun 2007, In : Asian Journal of Mathematics. 11, 2, p. 201-216 16 p.

Research output: Contribution to journalArticle

Automorphisms
Hypersurface
Blow molding
Levi Form
Blowing-up
18 Citations (Scopus)

Parametrization of local CR automorphisms by finite jets and applications

Lamel, B. & Mir, N., Apr 2007, In : Journal of the American Mathematical Society. 20, 2, p. 519-572 54 p.

Research output: Contribution to journalArticle

Parametrization
Automorphisms
2006

On the stability group of CR manifolds

Lamel, B. & Mir, N., 1 Aug 2006, In : Comptes Rendus Mathematique. 343, 3, p. 169-172 4 p.

Research output: Contribution to journalArticle

CR Manifold
CR-submanifold
Jet Space
Diffeomorphisms
Submanifolds
8 Citations (Scopus)

Remarks on the rank properties of formal CR maps

Lamel, B. & Mir, N., Nov 2006, In : Science in China, Series A: Mathematics. 49, 11, p. 1477-1490 14 p.

Research output: Contribution to journalArticle

Real Hypersurfaces
Transversality
Hypersurface
2003
7 Citations (Scopus)

Analytic regularity of CR maps into spheres

Mir, N., Jul 2003, In : Mathematical Research Letters. 10, 4, p. 447-457 11 p.

Research output: Contribution to journalArticle

Hypersurface
Regularity
Pseudoconvex
Unit
Class
16 Citations (Scopus)

Approximation and convergence of formal CR-mappings

Meylan, F., Mir, N. & Zaitsev, D., 2003, In : International Mathematics Research Notices. 4, p. 211-242 32 p.

Research output: Contribution to journalArticle

CR Mappings
Approximation
2002
10 Citations (Scopus)

Analytic regularity of CR-mappings

Meylan, F., Mir, N. & Zaitsev, D., 2002, In : Mathematical Research Letters. 9, 1, p. 73-93 21 p.

Research output: Contribution to journalArticle

CR Mappings
Regularity
15 Citations (Scopus)

Convergence of formal embeddings between real-analytic hypersurfaces in codimension one

Mir, N., Sep 2002, In : Journal of Differential Geometry. 62, 1, p. 163-173 11 p.

Research output: Contribution to journalArticle

Codimension
Hypersurface
Pseudoconvex
14 Citations (Scopus)

On the convergence of formal mappings

Mir, N., Jan 2002, In : Communications in Analysis and Geometry. 10, 1, p. 23-59 37 p.

Research output: Contribution to journalArticle

Submanifolds
CR Manifold
Nondegeneracy
Analyticity
Power series

Propriétés d'approximation et de convergence des applications CR formelles

Translated title of the contribution: Approximation and convergence properties of formal CR-mapsMeylan, F., Mir, N. & Zaitsev, D., 15 Oct 2002, In : Comptes Rendus Mathematique. 335, 8, p. 671-676 6 p.

Research output: Contribution to journalArticle

Approximation Property
Convergence Properties
CR-submanifold
Holomorphic Mappings
Subset
36 Citations (Scopus)

Reflection Ideals and mappings between generic submanifolds in complex space

Baouendi, M. S., Mir, N. & Rothschild, L. P., 2002, In : Journal of Geometric Analysis. 12, 4, p. 543-580 38 p.

Research output: Contribution to journalArticle

Submanifolds
Hypersurface
Sufficient Conditions
2000
18 Citations (Scopus)

Formal biholomorphic maps of real analytic hypersurfaces

Mir, N., 2000, In : Mathematical Research Letters. 7, 2-3, p. 343-359 17 p.

Research output: Contribution to journalArticle

Hypersurface
Partial
1999
5 Citations (Scopus)
CR Mappings
Nondegeneracy
Hypersurface
Analyticity
Polynomial
1998
10 Citations (Scopus)

Germs of holomorphic mappings between real algebraic hypersurfaces

Mir, N., 1998, In : Annales de l'Institut Fourier. 48, 4, p. 1025-1043 19 p.

Research output: Contribution to journalArticle

Segre Variety
Holomorphic Mappings
Hypersurface
2 Citations (Scopus)

Sur l'analyticité des germes d'applications CR entre hypersurfaces analytiques réelles dans ℂN+1

Translated title of the contribution: On the analytic extension of CR map pings between real analytic hypersurfaces in ℂN+1Mir, N., Jun 1998, In : Comptes Rendus de l'Academie des Sciences - Series I: Mathematics. 326, 11, p. 1283-1288 6 p.

Research output: Contribution to journalArticle

Hypersurface