On Lewy's unsolvability phenomenon

DOI10.1080/17476933.2010.534150zbMath1252.32013OpenAlexW2113540806MaRDI QIDQ4648505

Elisabetta Barletta, Sorin Dragomir

Publication date: 9 November 2012

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2010.534150

zbMATH Keywords

Heisenberg groupreflection principleLewy equationTeodorescu space

Mathematics Subject Classification ID

Boundary behavior of holomorphic functions of several complex variables (32A40) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Differential operators in several variables (32W99)

Related Items (1)

On Nirenberg's non-embeddable CR structure

Cites Work

• On the local character of the solutions of an atypical linear differential equation in three variables and a related theorem for regular functions of two complex variables
• An example of a smooth linear partial differential equation without solution
• Lewy's operator and its ramifications
• Lewy unsolvability and several complex variables
• The analytic-functional calculus for several commuting operators
• An extension result of CR functions by a general Schwarz reflection principle

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