AG Komplexe Analysis: Thomas Pawlaschyk (D.13.15)
The q-pluriubharmonic functions form the upper semi-continuous analog of (q+1)-convex functions in the sense of Grauert. I will introduce q-plurisbuharmonic functions in C^n in the sense of Hunt-Murray and present the relation to q-pseudoconvex sets in the sense of Rothstein and Słodkowski. In my recent research, I investigated q-pseudoconvex tube domains in order to generalize the well-known results by Lelong, Bochner and Bremermann on the relation of rigid plurisubharmonic functions and pseudoconvex tube domains to convexity.
