Center for diffusion of mathematic journals

 
 
 
 

Journées équations aux dérivées partielles

Table of contents for this volume | Previous article | Next article
László Lempert
The Cauchy-Riemann equations in infinite dimensions
Journées équations aux dérivées partielles (1998), Exp. No. 8, 8 p., doi: 10.5802/jedp.537
Article PDF | Reviews MR 99k:46081 | Zbl 01808717

Résumé - Abstract

I will explain basic concepts/problems of complex analysis in infinite dimensions, and survey the few approaches that are available to solve those problems.

Bibliography

[C] G. Coeuré Les équations de Cauchy-Riemann sur un espace de Hilbert manuscript
[D] S. Dineen Complex Analysis in Locally Convex Spaces North Holland Amsterdam 1981  Zbl 0484.46044
[H] C. T. Henrich The ∂ equation with polynominal growth on a Hilbert space Duke Math. J. 40 1973 279-306 Article |  MR 47 #9279 |  Zbl 0261.35063
[Hö] L. Hörmander An Introduction to Complex Analysis in Several Variables 3rd edition North Holland Amsterdam 1990  Zbl 0685.32001
[L1] L. Lempert The Dolbeault complex in infinite dimensions I J. Amer. Math. Soc., to appear  Zbl 0904.32014
[L2] L. Lempert The Dolbeault complex in infinite dimensions II manuscript arXiv
[L3] L. Lempert The Dolbeault complex in infinite dimensions III in preparation
[L4] L. Lempert Approximation de fonctions holomorphes d'un nombre infini de variables manuscript
[M] P. Mazet Analytic Sets in Locally Convex Spaces North Holland Amsterdam 1984
[NN] A. Newlander, L. Nirenberg Complex analytic coordinates in almost complex manifolds Ann. of Math. 65 1957 391-404  MR 19,577a |  Zbl 0079.16102
[R] P. Raboin Le problème du ∂ sur un espace de Hilbert Bull. Soc. Math. Fr. 107 1979 225-240 Numdam |  MR 80i:32052 |  Zbl 0414.46030
Copyright Cellule MathDoc 2018 | Credit | Site Map