Publications of Joel Merker

Available at http://www.cmi.univ-mrs.fr/~merker/
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The online publications below are not necessarily authoritative nor necessarily final versions. They are listed in reverse chronological order of writing. P5 and P6 are not available.

 
Online Papers
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P30: Lie symmetries of partial differential equations and CR geometry

Sovrem. Mat. Prilozh.; translation in J. Math. Sci. (N. Y.), to appear


P29: Characterization of the Newtonian free particle system in m >= 2 dependent variables

(Acta Math. Applicandae, to appear)


P28: (With Egmont Porten) Holomorphic extension of CR functions and their removable singularities

(International Mathematics Research Surveys, Volume 2006, Article ID 28925, 287 pages)


P27: (With Egmont Porten) Characteristic foliations on maximally real submanifolds of C^n and envelopes of holomorphy

(International Mathematics Research Papers, Volume 2006, Article ID 72069, 131 pages


P26: Propagation of analyticity for essentially finite C^infty smooth CR mappings.

Manuscripta Math. 115 (2004), no. 3, 313--338


P25:Etude de la regularite analytique de l'application de reflexion CR formelle.

Annales de la Faculté des Sciences de Toulouse, XIV (2005), no. 2, 215--330.


P24: (With Herve Gaussier) Symmetries of partial differential equations.

J. Korean Math. Soc. 40 (2003), no. 3, 517--561. 


P23: (With Herve Gaussier) Nonalgebraizable real analytic tubes in C^n.

Math. Z. 247 (2004), no. 2, 337-383.
 


P22: (Avec Herve Gaussier) Sur l'algebrisabilite locale de sous-varietes analytiques reelles generiques de C^n.

Comptes Rendus Mathématique 336 (2003), no. 2, 125-128. 
 


P21: (Avec Herve Gaussier) Geometrie des sous-varietes analytiques reelles de C^n et symetries de Lie des equations aux derivees partielles.

Bull. Soc. Math. Tunisie, 2004.
 


P20: On the local geometry of generic submanifolds of C^n and the analytic reflection principle (Part I).

(Russian) Sovrem. Mat. Prilozh. No. 6, Kompleks. Anal. (2003), 3--79; translation in J. Math. Sci. (N. Y.) 125 (2005), no. 6, 751--824.
 


P19:(Avec Sylvain Damour) Sur la convergence d'applications formelles entre sous-varietes analytiques reelles.

Bull. Sci. Math. 126 (2002), 831-854.
 


P18:(With Herve Gaussier) A new example of uniformly Levi degenerate hypersurface in C^3.

Ark. Mat. 41 (2003), no. 1, 85--94.
 


P17:(Avec B. Coupet, S. Damour et A. Sukhov) Sur l'analyticite des applications CR lisses a valeurs dans un ensemble algebrique reel.

C. R. Acad Sci. Série I Math. 334 (2002), no. 11, 953-956. 
 


P16: On envelopes of holomorphy of domains covered by Levi-flat hats and the reflection principle.

Ann. Inst. Fourier Grenoble, 52 (2002), no.5, 1443-1524.
 


P15: (With Egmont Porten) On wedge extendability of CR meromorphic functions.

Math. Z., 241 (2002), 485--512.
 


P14: Convergence of formal biholomorphisms between minimal holomorphically nondegenerate hypersurfaces.

Internat. J. Math. Math. Sci. 26 (2001),  no. 5, 281--302. 
 


P13: (With Roman Dwilewicz) On the Hartogs-Bochner phenomenon for CR functions in P_2(C).

Proc. Amer. Math. Soc. 130 (2002), 1975--1980. 
 


P12: Etude de la regularite de l'application de symetrie CR formelle.

C. R. Acad. Sci. Paris Sér. I Math. 333 (2001), no. 3, 165-168. 
 


P11: On the partial algebraicity of holomorphic mappings between two real algebraic sets in complex euclidean spaces of arbitrary dimensions.

Bull. Soc. Math. France, 129 (2001), no.3, 547-591.
 


P10: Note on double reflection and algebraicity of holomorphic mappings.

Annales de la Faculté des Sciences de Toulouse 9 (2001), 689-721.
 


P9: (With Egmont Porten) Metrically thin singularities of integrable CR functions.

Internat. J. Math. 11 (2000), no. 7, 857-872.
 


P8: (With Egmont Porten) Enveloppe d'holomorphie locale des variétés CR et élimination des singularités pour les fonctions CR intégrables.

C. R. Acad. Sci. Paris Sér. I Math. 328 (1999), no. 10, 853-858. 
 


P7: (With Egmont Porten) On the local meromorphic extension of CR meromorphic mappings.

Complex analysis and applications  (Warsaw, 1997). Ann. Polon. Math. 70 (1998), 163-193.
 


P6: (Avec Francine Meylan) Extension de germes de difféomorphismes CR pour une classe d'hypersurfaces analytiques réelles non essentiellement finies dans C^3 (Not available).

Complex Variables Theory Appl. 40 (1999), no. 1, 19-34.
 


P5: (With X. Huang and F. Meylan) Mappings between degenerate real analytic hypersurfaces in C^n (Not available).

Analysis, geometry, number theory: the mathematics of Leon Ehrenpreis (Philadelphia, PA, 1998), 321-338, Contemp. Math., 251, Amer. Math. Soc., Providence, RI, 2000.
 


P4: (With Egmont Porten) On removable singularities for integrable CR functions.

Indiana Univ. Math. J. 48 (1999), no3, 805-856.
 


P3: On the Schwarz symmetry principle in a model case

Proc. Amer. Math. Soc. 127 (1999), no4, 1097-1102.
 


P2: On removable singularities for CR functions in higher codimension

Intern. Math. Res. Notices 1997, no 1, 21-56.
 


P1: Global minimality of generic manifolds and holomorphic extendibility of CR functions

Intern. Math. Res. Notices 1994, no 8, 329-342.