Abstract:A continuous frame is a family of vectors in a Hilbert space which allows reproductions of arbitrary elements by continuous superpositions. The author discussed some properties of some families of functions induced by translate operator or modulation operator, and gave some conditions for these families being not a continuous frame.
刘 春 苔. 平移算子和调制算子的框架性质[J]. 华中师范大学学报(自然科学版), 2019, 53(6): 847-851.
LIU Chuntai. Title Some properties of frame for translate operator and modulation operator. journal1, 2019, 53(6): 847-851.