Generally speaking, the uncertainty principle is a class of theorems that describe the concentration of a function and its Fourier transform. A few years ago, Avi Wigderson and Yuval Wigderson found an elementary new method to unify some different uncertainty principles. They gave new proof of Heisenberg's uncertainty principles in dimension 1 and asked some questions about this new method. We answer some of their questions, by giving new elementary proofs of some classical results, and also obtain new results on uncertainty principles.
Meeting Id: 952 5593 3341 Password : 465249