Regularity for elliptic pairs over \(\mathbb C [[\hbar ]]\)

DOI10.4171/RSMUP/130-2zbMath1295.35018arXiv1003.4873MaRDI QIDQ2438312

David Raimundo

Publication date: 11 March 2014

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.4873

zbMATH Keywords

finiteness and duality propertiesmodules over the ring of formal differential operators

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Sheaves of differential operators and their modules, (D)-modules (32C38) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Quantizations, deformations for selfadjoint operator algebras (46L65)

Cites Work

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• Formal extension of the Whitney functor and duality
• Systems of microdifferential equations. Notes and transl. by Teresa Monteiro Fernandes. Introd. by Jean-Luc Brylinski
• The Riemann-Hilbert problem for holonomic systems
• Deformation quantization modules
• Moderate and formal cohomology associated with constructible sheaves
• EXTENSION OF FUNCTORS FOR ALGEBRAS OF FORMAL DEFORMATION

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