Abstract:We prove two main theorems about equivariant minimal surfaces in an arbitrary nonpositively curved symmetric spaces extending classical results on minimal surfaces in Euclidean space. First, we show that a complete equivariant branched immersed minimal surface in a nonpositively curved symmetric space of finite total curvature must be of finite Morse index. It is a generalization of t...
IntroductionWe will study some mixed completeness problems, i.e. completeness problems for the union of two systems of harmonics of different nature, for a example a system from exponentials and its biorthogonal system.We consider the spectral synthesis property for systems of exponentials and other systems of reproducing kernels of Hilbert spaces of entire functions (Paley-Wiener spaces, Fock ...