@article {IOPORT.05936330, author = {Hou, Yingchun and Wu, Guochang}, title = {Determining set and sampling theorem in the shift invariant subspace.}, year = {2009}, journal = {Journal of Henan University. Natural Science}, volume = {39}, number = {4}, issn = {1003-4978}, pages = {345-348}, publisher = {Journal Editorial Department of Henan University, Kaifeng, Henan}, abstract = {The sampling problem in a shift invariant subspace is considered. Firstly, a determining set in the shift invariant subspace is characterized. Then, in terms of a determining set in the shift-invariant subspace, a sufficient and necessary condition that a function belongs to a sampling space is given.}, reviewer = {Yuehua Wu (Toronto)}, identifier = {05936330}, }