Download E-books Analysis and Geometry in Several Complex Variables: Proceedings of the 40th Taniguchi Symposium PDF

Analysis

By David Catlin (auth.), Gen Komatsu, Masatake Kuranishi (eds.)

This quantity includes a set of articles for the complaints of the fortieth Taniguchi Symposium research and Geometry in different advanced Variables held in Katata, Japan, on June 23-28, 1997. because the inhomogeneous Cauchy-Riemann equation was once brought within the examine of complicated research of numerous Variables, there was robust interplay among complicated research and actual research, particularly, the idea of Partial Differential Equations. difficulties in advanced Anal­ ysis stimulate the advance of the PDE conception which in this case may be utilized to complicated research. This interplay comprises Differen­ tial Geometry, for example, through the CR constitution modeled at the prompted constitution at the boundary of a fancy manifold. Such constructions are certainly concerning the PDE concept. Differential Geometric formalisms are successfully utilized in settling difficulties in advanced research and the consequences increase the idea of Differential Geometry. This quantity makes a speciality of the latest advancements during this inter­ motion, together with hyperlinks with different fields similar to Algebraic Geometry and Theoretical Physics. Written by means of members within the Symposium, this vol­ ume treats a number of facets of CR geometry and the Bergman kernel/ seasoned­ jection, including different significant matters in glossy complicated research. we are hoping that this quantity will function a source for all who're attracted to the recent tendencies during this quarter. we want to specific our gratitude to the Taniguchi origin for beneficiant monetary aid and hospitality. we might additionally prefer to thank Professor Kiyosi Ito who coordinated the association of the symposium.

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