On the global properties of Fourier multipliers in the nonharmonic analysis setting

DOI10.1007/S00025-024-02324-YMaRDI QIDQ6655411

Wagner A. A. de Moraes

Publication date: 23 December 2024

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

normal formFourier seriesglobal solvabilityglobal hypoellipticitynonharmonic analysis

Mathematics Subject Classification ID

Boundary value problems for PDEs with pseudodifferential operators (35S15) Fourier series and coefficients in several variables (42B05) Boundary value problems on manifolds (58J32) Hypoelliptic equations (35H10)

Cites Work

• Globally hypoelliptic vector fields
• Global solvability and hypoellipticity on the torus for a class of differential operators with variable coefficients
• Fourier multipliers, symbols, and nuclearity on compact manifolds
• Global hypoellipticity for a class of pseudo-differential operators on the torus
• Partial Fourier series on compact Lie groups
• Global hypoellipticity and global solvability for vector fields on compact Lie groups
• Global hypoellipticity for strongly invariant operators
• Globally hypoelliptic systems of vector fields
• Global hypoellipticity, global solvability and normal form for a class of real vector fields on a torus and application
• Global Solvability for a Class of Complex Vector Fields on the Two-Torus
• Globally Hypoelliptic Vector Fields on Compact Surfaces
• Globally Hypoelliptic and Globally Solvable First Order Evolution Equations
• Remarks about global analytic hypoellipticity
• Nonharmonic Analysis of Boundary Value Problems
• Hypoelliptic vector fields and almost periodic motions on the torus Tⁿ
• Remarks on Global Hypoellipticity
• Global Hypoellipticity and Liouville Numbers

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