Formalism for hypercomplex multidimensional NMR employing partial-component subsampling

► We formalize a hypercomplex algebra suitable for multidimensional NMR data. ► The DFT-Convolution Theorem is modified to accommodate partial-component sampling. ► The point-spread function set indicates spectral sensitivity for nonuniform sampling. ► The framework is essential for development of partial-component nonuniform sampling.