Almost periodic functions in finite-dimensional space with the spectrum in a cone

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/122896An almost periodic function in finite-dimensional space extends to a holomorphic bounded function in a tube domain with a cone in the base if and only if the spectrum belongs to the conjugate cone. Also, an almost periodic function in finite-dimensional space has the bounded spectrum if and only if it extends to an entire function of exponential type.Complex VariablesClassical Analysis and ODEs43A60; 32A60Almost periodic functions in finite-dimensional space with the spectrum in a conetext