Superoscillating functions are band-limited functions that can oscillatefaster than their fastest Fourier component. There is nowadays a large literatureon the evolution of superoscillations under Schrödinger equation with differenttype of potentials. In this paper, we study the evolution of superoscillations underthe Klein-Gordon equation and we describe in precise mathematical terms in whatsense superoscillations persist in time during the evolution. The main tools forour investigation are convolution operators acting on spaces of entire functionsand Green functions.
Evolution of Superoscillations in the Klein-Gordon Field
Colombo F.;Sabadini I.;
2020-01-01
Abstract
Superoscillating functions are band-limited functions that can oscillatefaster than their fastest Fourier component. There is nowadays a large literatureon the evolution of superoscillations under Schrödinger equation with differenttype of potentials. In this paper, we study the evolution of superoscillations underthe Klein-Gordon equation and we describe in precise mathematical terms in whatsense superoscillations persist in time during the evolution. The main tools forour investigation are convolution operators acting on spaces of entire functionsand Green functions.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
