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arXiv · 2510.27550

Orthogonality of H-distributions and applications

Nenad Antonić·Darko Mitrović·Tomislav Perić
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Abstract

We extend G\'erard's results on orthogonality of ${\rm L}^2_{\rm loc}$ sequences as a consequence of mutual singularity of corresponding H-measures (microlocal defect measures) to ${\rm L}^p$/${\rm L}^q$ sequences and newly introduced notion of orhogonality for H-distributions. We apply the result to a homogenisation problem for the heterogeneous Boltzmann equation with space-dependent drift and periodic opacity.

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Nenad Antonić, Darko Mitrović, Tomislav Perić. 2025-10-31. Orthogonality of H-distributions and applications. https://arxiv.org/abs/2510.27550

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