Ultradistributions on \(\mathbb{R}_+^n\) and solvability and hypoellipticity through series expansions of ultradistributions

Smoothness and regularity of solutions to PDEs (35B65) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Hypoelliptic equations (35H10)

Cites Work

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\(H\)-distributions via Sobolev spaces
Tensor products for Gelfand-Shilov and Pilipović distribution spaces
Gelfand-Shilov spaces for the Hankel transform
Laguerre expansions of Gel'fand-Shilov spaces
Global hypoellipticity for first-order operators on closed smooth manifolds
Global hypoellipticity and global solvability in Gevrey classes on the \(n\)-dimensional torus
Global hypoellipticity for a class of pseudo-differential operators on the torus
Time-periodic Gelfand-Shilov spaces and global hypoellipticity on \(\mathbb{T}\times\mathbb{R}^n\)
Global ultradifferentiable hypoellipticity on compact manifolds
Eigenfunction expansions of ultradifferentiable functions and ultradistributions in \(\mathbb R^n\)
Ultradistributional boundary values of harmonic functions on the sphere
\(G\)-type spaces of ultradistributions over \(\mathbb {R}^d_+\) and the Weyl pseudo-differential operators with radial symbols
Pseudo-differential calculus in anisotropic Gelfand-Shilov setting
Harmonic Function Theory
Eigenfunction expansions of ultradifferentiable functions and ultradistributions
On global analytic and Gevrey hypoellipticity on the torus and the Métivier inequality
Eigenfunction expansions in ℝⁿ
Global Solvability for a Class of Complex Vector Fields on the Two-Torus
Remarks about global analytic hypoellipticity
Global Hypoellipticity of a Class of Second Order Operators
Eigenfunction expansions of ultradifferentiable functions and ultradistributions. II. Tensor representations
Extension theorem of Whitney type for S(Rd+) by use of the Kernel theorem
Microlocal analysis for Gelfand-Shilov spaces

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