PROVIDES A SELF-CONTAINED SURVEY OF THE EXISTING LITERATURE, IN ORDER TO OFFER A SYSTEMATIC MATHEMATICAL APPROACH TO SUPEROSCILLATIONS; THE AUTHORS ALSO OBTAIN SOME NEW AND UNEXPECTED RESULTS BY SHOWING THAT SUPEROSCILLATING SEQUENCES CAN BE SEEN OF AS SOLUTIONS TO A LARGE CLASS OF CONVOLUTION EQUATIONS AND CAN THEREFORE BE TREATED WITHIN THE THEORY OF ANALYTICALLY UNIFORM SPACES. | |
