Finsler Structures and Wave Propagation
We discuss connections between the study of wave propagation for general classes of hyperbolic PDEs (beyond the “standard wave equation”) and aspects of Finsler geometry. In particular, we investigate how understanding of the behavior of differential operators (and pseudodifferential operators) arising in such study can enhance one's understanding of Finsler geometry. We also discuss a problem in harmonic analysis motivated by a construction of Katok in Finsler geometry, which gives rise to an interesting variant of the Pinsky phenomenon, for pointwise Fourier inversion.
KeywordsPrincipal Symbol Eigenfunction Expansion Beltrami Operator Finsler Geometry Finsler Metrics
Unable to display preview. Download preview PDF.