Table 2 Historical development of almost automorphy

Almost automorphic (AA)

Bochner [23]

Asymptotic almost automorphic (AAA)

N’Guérékata [27]

Pseudo almost automorphic (PAA)

Xiao et al. [28]

Weighted pseudo-almost automorphic (WPAA)

Blot [29]

Stepanov-like almost automorphic (\(S^{p}\)AA)

Casarino [30]

Stepanov-like pseudo-almost automorphic (\(S^{p}\)PAA)

Diagana [31]

Weighted Stepanov-like pseudo-almost automorphic (\(S^{p}\)WPAA)

Xia and Fan [32]