By Henri Skoda (auth.), P. Dolbeault, A. Iordan, G. Henkin, H. Skoda, J.-M. Trépreau (eds.)

ISBN-10: 3034884362

ISBN-13: 9783034884365

ISBN-10: 3034895666

ISBN-13: 9783034895668

This number of 18 study papers, devoted to Pierre Lelong, describes the cutting-edge on consultant difficulties of complicated research and geometry. The publication opens with an exposition of the achievements of Pierre Lelong on plurisubharmonic services, closed optimistic currents, and their extra learn via different mathematicians. in addition, a listing of 11 open difficulties is given. All different contributions include new effects similar, for instance, to the next goods: - Capacities, made of optimistic currents, L2 extension theorems, Bergman kernels and metrics, new homes of convex domain names of finite variety - Non-compact barriers of Levi-flat hypersurfaces of C2, compact boundary difficulties as software of compactly supported measures orthogonal to polynomials, Hartogs' theorem on a few open subsets of a projective manifold, Malgrange vanishing theorem with aid stipulations - Embeddings for three-d CR-manifolds, geometrization of hypoellipticity, desk bound advanced curves and entire integrability - normal polynomial mappings of Ck in advanced dynamics, an immediate facts of the density of repulsive cycles within the Julia set. The e-book is geared toward researchers and complex graduate scholars in advanced and actual research, algebraic geometry and quantity conception.

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Proceedings of the Conference "Complex Algebraic Varieties" (Bayreuth, April 2-6, 1990), edited by K. Hulek, T. Petemell, M. Schneider, F. , Vol. 1507, Springer Verlag, Berlin, 1992. J-P. Demailly, Regularization of closed positive currents and self-intersection inequalities, J. Algebraic Geometry 1(1992), 361-409. J-P. Demailly, Monge-Ampere operators, Lelong numbers and intersection theory, Complex Analysis and Geometry, Univ. , edited by V. Ancona and A. Silva, Plenum Press, New York, 1993, 115-193.

Let *a(z)1 = II 1 12 - RI < Z,a > It is clear that M(p) := max I a(Z) I = max l*

*a(z)l, Izl:sp Izl=p 0< p < R. Given m > 0, the function x~m is increasing on the interval (0, +00). Therefore Izl Hence M(r) = }~~2' :s r. 44 l6ze! Siciak = It is well known that (dd Clog Iw\)N (2n)N 00 , where 00 is the Dirac measure at C the origin of([f. Therefore (dd log I*a \)N = (2n)N oa.

14, pp. 143-149. a a 32 [1947 b] [1947 c] [1947d] [1948 a] [1948 b] [1949] [1950 a] [1950 b] [1951 a] [1951 b] [1952 a] [1952 b] [1952c] [1953 a] [1953 b] [1953 c] [1953d] [1954 a] [1954 b] [1956] [1957 a] Bibliographie de Pierre Lelong Sur une propriete simple des polynomes, C. R. 224, pp. 883-885. (avec J. Deny) Sur une generalisation de l'indicatrice de PhragmenLindel6f, C. R. 224, pp. 1046-1049. (avec 1. Deny) Etude des fonctions sousharmoniques dans un cylindre ou dans un cone, Bull. Soc. Math.

### Complex Analysis and Geometry: International Conference in Honor of Pierre Lelong by Henri Skoda (auth.), P. Dolbeault, A. Iordan, G. Henkin, H. Skoda, J.-M. Trépreau (eds.)

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