BOUNDEDNESS OF THE AMBIGUITY FUNCTION ON HARDY AND 𝑩�𝑴�𝑶� SPACES

Abstract

This paper demonstrates that the ambiguity function, which is well-known for its significant engineering applications, provides results on boundedness on the Hardy and 𝐵�𝑀�𝑂� (Bounded Mean Oscillation) spaces, which are also of central importance in various mathematical fields of study, including Fourier and harmonic analysis. Furthermore, the study meticulously investigates the Hardy and 𝐵�𝑀�𝑂� distances between two ambiguities that depend on different windows and signals.