Pseudo-Differential Operators and Related Topics

The current volume gives an update on recent developments in the theory of pseudo-differential operators and related topics. The results collected here were presented at the Pseudo-Differential Operators and Related Topics (PSORT) 2024 Conference at Ghent University, Belgium, and cover a wide range of topics in pseudo-differential operators, microlocal analysis, time-frequency analysis, and related applications.

- On the existence of a Weyl calculus on graded Lie groups. - On Courant and Pleijel theorems for sub-Riemannian Laplacians. - Fourier analysis on lattices and beyond. - Normal forms and regularity at radial points. - Fredholmness of pseudodifferential operators on rearrangement-invariant spaces. - Diophantine conditions and global properties for systems of vector fields in tori and spheres. - Phase space Feynman path integrals of parabolic type on the torus as analysis on path space. - Quasi-Clustering for the Spectrum of Semiregular Systems. - Multilinear Fourier integral operators on modulation spaces. - Pseudodifferential operators with completely periodic symbols and Gabor frames. - Characterization of wave front sets associated with ultradistributional spaces by special orbital wavelet transform. - Ridgelet transform on Gelfand-Shilov spaces of type
W
. - Recent advances in harmonic analysis on the group SL(2, R). - Pseudodifferential transmission problems. - Pseudo-differential operators involving the Weinstein transform. - Banach-space-valued ultradistributions involving the Weinstein transform. - Regularity of oscillatory integral operators arising in evolutionary PDEs, in classical function spaces. - Restriction theorems for Fourier-Dunkl transform. - On the iterates of the Laguerre operator.