Novel sampling formulas associated with quaternionic prolate spheroidal wave functions

DOI10.1007/s00006-017-0815-xzbMath1386.94024arXiv1608.08355OpenAlexW3100556193MaRDI QIDQ1686871

Peng Zhang

Publication date: 18 December 2017

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.08355

zbMATH Keywords

spectral theoremquaternion Fourier transformprolate spheroidal wave functionquaternion reproducing-kernel Hilbert spacesWhittaker-Shannon-Kotel'nikov sampling formula

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Sampling theory in information and communication theory (94A20) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (3)

On the weak topology of quaternionic Hilbert spaces ⋮ Sampling expansions associated with quaternion difference equations ⋮ Multichannel interpolation of nonuniform samples with application to image recovery

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