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Full Description
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.
Contents
- 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.
