Front d'onde analytique et décomposition microlocale des distributions

DOI10.5802/aif.935zbMath0488.35078OpenAlexW1979750675MaRDI QIDQ1166029

Pascal Laubin

Publication date: 1983

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1983__33_3_179_0

zbMATH Keywords

distributionanalytic wave front set of distributionsFourier-integral- operators with complex valued phasesmicrolocal analytic representation

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Integral transforms in distribution spaces (46F12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Distributions and ultradistributions as boundary values of analytic functions (46F20)

Related Items (4)

CR-microfunctions and the Henkin-Ramirez reproducing kernel ⋮ Suppleness of some quotient spaces of microfunctions ⋮ Suppleness of the sheaf of algebras of generalized functions on manifolds ⋮ The edge-of-the-wedge theorem for systems of constant coefficient partial differential operators. I, II

Cites Work

• The longitudinal index theorem for foliations
• Analytic singularities and microhyperbolic boundary value problems
• Tuboïdes dans \(\mathbb{C}^n\) et généralisation d'un théorème de Cartan et Grauert
• Décomposition microlocale analytique des distributions
• Théorie des hyperfonctions
• Fonctions harmoniques et spectre singulier
• Propagation of analytic singularities for second order dirichlet problems
• Fourier integral operators with complex phase functions and parametrix for an interior boundary value problem
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