English

Canonical kernels versus constructible kernels

Complex Variables 2011-12-07 v1

Abstract

We study both canonical reproducing kernels and constructive reproducing kernels for holomorphic functions in \CC1\CC^1 and \CCn\CC^n. 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.

Keywords

Cite

@article{arxiv.1112.1094,
  title  = {Canonical kernels versus constructible kernels},
  author = {Steven G. Krantz},
  journal= {arXiv preprint arXiv:1112.1094},
  year   = {2011}
}

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R2 v1 2026-06-21T19:46:44.891Z