比利时vs摩洛哥足彩
,
university of california san diego
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math 248 - analysis
steve bell
purdue university
the bergman kernel in a nutshell
abstract:
the bergman kernel in complex analysis has always appeared to be an abstractly defined thing having to do with infinite sums of orthogonal functions, or with solutions to a pde, or with extremal problems, or with the riesz representation theorem. i will explain a way of looking at the kernel that connects it to algebra, and i will show how it can be used to convert problems in conformal mapping to problems in algebraic geometry. would you believe that the bergman kernel $k(z,w)$ of a multiply connected domain in the plane is just a rational combination of two explicit and simple analytic functions of one complex variable?
host: peter ebenfelt
may 31, 2005
10:30 am
ap&m 6218
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