Unique continuation of microlocally analytic functions and their structure

DOI10.1080/17476933.2012.744402zbMath1304.35166OpenAlexW2068890324MaRDI QIDQ2929322

Takashi Takiguchi

Publication date: 11 November 2014

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

Full work available at URL: https://doi.org/10.1080/17476933.2012.744402

zbMATH Keywords

ultradistributionshyperfunctionsstructure theoremmicrolocal analyticity

Mathematics Subject Classification ID

Hyperfunctions, analytic functionals (46F15) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Hyperfunctions (32A45) Continuation and prolongation of solutions to PDEs (35B60) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

• Unnamed Item
• Representation of quasianalytic ultradistributions
• Structure of quasi-analytic ultradistributions
• Analytic continuation across a linear boundary
• On the structure of generalized functions† ‡
• On the structure of Fourier hyperfunctions

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