Sampling and interpolating sequences for multiband-limited functions and exponential bases on disconnected sets (original) (raw)

This research addresses the intricate problem of identifying sequences that enable Riesz bases formation in the context of multiband-limited functions situated on disconnected sets. The framework is presented through the lens of signal processing, exploring sampling and interpolation sequences critical for stable and non-redundant signal reconstruction. The findings reveal essential properties and structural conditions necessary to characterize these sequences, thereby extending existing theoretical foundations and offering insights that may influence practical applications in related fields.