An extension of the Liouville theorem for Fourier multipliers to sub-exponentially growing solutions

DOI10.4171/jst/509zbMATH Open1546.42014MaRDI QIDQ6594569

Eugene Shargorodsky, David Berger, René L. Schilling, Teo Sharia

Publication date: 28 August 2024

Published in: Journal of Spectral Theory (Search for Journal in Brave)

zbMATH Keywords

Fourier multipliersLiouville theorementire functionsBeurling-Domar condition

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Multipliers for harmonic analysis in several variables (42B15) Analyticity in context of PDEs (35A20) General theory of PDEs and systems of PDEs with constant coefficients (35E20) Entire functions of several complex variables (32A15) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Harmonic analysis based on certain commutative Banach algebras
• The Liouville theorem and linear operators satisfying the maximum principle
• Sur l'analyticité des solutions des systèmes d'équations différentielles.
• Solution of Some Problems of Division. Part IV. Invertible and Elliptic Operators
• Liouville type theorem for solutions of linear partial differential equations with constant coefficients
• Linear Holomorphic Partial Differential Equations and Classical Potential Theory
• On the Liouville and strong Liouville properties for a class of non-local operators
• Bounded Analytic Functions
• Local properties of solutions of partial differential equations with constant coefficients
• Power Series Expansions for Harmonic Functions
• Scattered Data Approximation
• The Liouville theorem for a class of Fourier multipliers and its connection to coupling

This page was built for publication: An extension of the Liouville theorem for Fourier multipliers to sub-exponentially growing solutions

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6594569)