The Mathematics of Superoscillations

Aharonov and colleagues offer a self-contained survey of the existing literature in order to present a systematic mathematical approach to superoscillations. They also obtain some new and unexpected results by showing that superoscillating sequences can be seen as solutions to a large class of convolution equations and can therefore be treated within the theory of analytically uniform spaces. In particular, they discuss the persistence of the superoscillatory behavior when superoscillating sequences are taken as initial values of the Schrödinger equation and other equations. Annotation ©2017 Ringgold, Inc., Portland, OR (protoview.com)