2011/12/05 by Steven G. Krantz, Krantz, Steven G.
Mathematics · #30C40 #32A25 #32A26 #46E22 #47B32 #Complex Variables (math.CV) #FOS: Mathematics #math.CV #msc:30C40 #msc:32A25 #msc:32A26 #msc:46E22 #msc:47B32
paper · pdf · doi:10.48550/arxiv.1112.1094
no figures
arxiv created 2011/12/05 · arxiv updated 2011/12/07
We study both canonical reproducing kernels and constructive reproducing kernels for holomorphic functions in \CC1 and \CCn. We compare and contrast the two, and also develop important relations between the two types of kernels. We prove a new result about the relationship between these two kernels on certain domains of finite type.