The Cauchy-Riemann equations in infinite dimensions
Journées équations aux dérivées partielles (1998), article no. 8, 8 p.

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

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László Lempert. The Cauchy-Riemann equations in infinite dimensions. Journées équations aux dérivées partielles (1998), article  no. 8, 8 p. https://proceedings.centre-mersenne.org/item/JEDP_1998____A8_0/

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[L1] L. Lempert The Dolbeault complex in infinite dimensions I J. Amer. Math. Soc., to appear | Zbl

[L2] L. Lempert The Dolbeault complex in infinite dimensions II manuscript

[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

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