Reproducing Kernels in Complex Analysis
Peter Vasilievic Dovbush, Steven George Krantz · 2025
This chapter discusses the role of reproducing kernels in complex analysis, both in one and several complex variables. We give applications to the study of the boundary smoothness of biholomorphic mappings and to other parts of geometric analysis. We develop the theme of constructible kernels versus non-constructible kernels, and compare and contrast the two.