On generalisation of H-measures

Abstract

In some applications, it is useful to consider variants of H-measures different from those introduced
in the classical or the parabolic case. We introduce the notion of admissible manifold and define
variant H-measures on Rd P for any admissible manifold P. In the sequel we study one special variant,
fractional H-measures with orthogonality property, where the corresponding manifold and projection
curves are orthogonal, as it was the case with classical or parabolic H-measures, and prove the localisation
principle. Finally, we present a simple application of the localization principle.