Global regularity of Weyl pseudo-differential operators with radial symbols in each phase-space variable

Pseudodifferential operators as generalizations of partial differential operators (35S05) Integral transforms in distribution spaces (46F12) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Pseudodifferential operators (47G30)

Cites Work

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Weyl type asymptotics and bounds for the eigenvalues of functional-difference operators for mirror curves
Gevrey regularity of spatially homogeneous Boltzmann equation without cutoff
Hermite functions and weighted spaces of generalized functions
Weighted inductive and projective limits of normed Köthe function spaces
Gelfand-Shilov spaces for the Hankel transform
Weyl transforms
Laguerre expansions of Gel'fand-Shilov spaces
Relations between Hermite and Laguerre expansions of ultradistributions over \(\mathbb R^d\) and \(\mathbb R^d_+\)
Gevrey smoothing for weak solutions of the fully nonlinear homogeneous Boltzmann and Kac equations without cutoff for Maxwellian molecules
Convolution with the kernel \(e^{s\langle x\rangle^q}\), \(q\geq 1\), \(s>0\) within ultradistribution spaces
Infinite order \(\Psi\mathrm{DOs}\): composition with entire functions, new Shubin-Sobolev spaces, and index theorem
The Cauchy problem for 3-evolution equations with data in Gelfand-Shilov spaces
Time-frequency analysis of operators
Global pseudodifferential operators of infinite order in classes of ultradifferentiable functions
Parametrices and hypoellipticity for pseudodifferential operators on spaces of tempered ultradistributions
Gelfand-Shilov smoothing properties of the radially symmetric spatially homogeneous Boltzmann equation without angular cutoff
Eigenfunction expansions of ultradifferentiable functions and ultradistributions in \(\mathbb R^n\)
\(G\)-type spaces of ultradistributions over \(\mathbb {R}^d_+\) and the Weyl pseudo-differential operators with radial symbols
Fourier integral operators of infinite order and applications to SG-hyperbolic equations
Pseudo-differential operators in a Gelfand-Shilov setting
Liftings for ultra-modulation spaces, and one-parameter groups of Gevrey-type pseudo-differential operators
Complex powers for a class of infinite order hypoelliptic operators
A Multivariate Faa di Bruno Formula with Applications
Pseudo-differential calculus in a Bargmann setting

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