Complex Hessian equations extend the classical framework of the complex Monge–Ampère equation by involving the m-th elementary symmetric function of the eigenvalues of the complex Hessian. This ...

Bergman theory forms a cornerstone of complex analysis in several variables by providing a framework in which holomorphic functions may be studied through intrinsic reproducing kernel methods. Central ...

Several years ago one of us, Toni, asked another of us, Marco, to come to his office at the Institute of Photonic Sciences, a large research center in Castelldefels near Barcelona. “There is a problem ...