Certain non-homogeneous matricial domains and Pick–Nevanlinna interpolation problem

In this paper, we consider certain matricial domains that are naturally associated to a given domain of the complex plane. A particular example such is spectral unit ball. We present several results for these domains. Our first result shows — generalizing Ransford–White ball holomorphic automorphism group does not act transitively. also [Formula: see text]-point and Pick–Nevanlinna interpolation problem from disc providing necessary conditions existence interpolant problems. particular, shall observe generalizations provided by Bharali Chandel related