TY  - BOOK
AU  - Dai,Xin-Rong
AU  - Sun,Qiyu
TI  - abc-problem for Gabor systems
T2  - Memoirs of the American Mathematical Society
SN  - 9781470420154 (alk. paper)
U1  - 510 23
PY  - 2016///
CY  - Providence : 
PB  - American Mathematical Society, 
KW  - Wavelets (Mathematics)
KW  - Gabor transforms
KW  - Matrices
N1  - Includes bibliographical references and index; * Introduction* Gabor frames and infinite matrices* Maximal invariant sets* Piecewise linear transformations* Maximal invariant sets with irrational time Shifts* Maximal invariant sets with rational time shifts* The $abc$-problem for Gabor systems* Appendix A. Algorithm* Appendix B. Uniform sampling of signals in a shift-invariant space* Bibliography
N2  - In this paper, the authors create a time-domain approach for Gabor frames, introduce novel techniques involving invariant sets of non-contractive and non-measure-preserving transformations on the line, and provide a complete answer to the above $abc$-problem for Gabor systems
ER  -