Description
Book Synopsis- 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.
