Generalized Fourier Integral Operators on Spaces of Colombeau Type (Q3613200)

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Language	Label	Description	Also known as
English	Generalized Fourier Integral Operators on Spaces of Colombeau Type	scientific article

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scholarly article

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Generalized Fourier Integral Operators on Spaces of Colombeau Type (English)

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Claudia Garetto

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New Developments in Pseudo-Differential Operators

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publication date

12 March 2009

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full work available at URL

https://arxiv.org/abs/0803.0284

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zbMATH Keywords

Fourier integral operators

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Colombeau algebras

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MaRDI profile type

MaRDI publication profile

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A nonlinear theory of generalized functions.

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Generalized Solutions to the Korteweg–de Vries and the Regularized Long-Wave Equations

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Generalized solutions to Burgers' equation

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On a hyperbolic system with a compatible quadratic

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Microlocal analysis of seismic inverse scattering in anisotropic elastic media

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Generalized integral operators and Schwartz kernel type theorems

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Topology on asymptotic algebras of generalized functions and applications

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Pseudo-differential operators in algebras of generalized functions and global hypoellipticity

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Topological structures in Colombeau algebras: Investigation of the duals of \(\mathcal G_c(\Omega)\), \(\mathcal G(\Omega)\) and \(\mathcal G_{\mathcal S}(\mathbb R^n)\)

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Topological structures in Colombeau algebras: Topological \(\widetilde{\mathbb C}\)-modules and duality theory

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Microlocal analysis in the dual of a Colombeau algebra: generalized wave front sets and noncharacteristic regularity

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MICROLOCAL ANALYSIS OF GENERALIZED FUNCTIONS: PSEUDODIFFERENTIAL TECHNIQUES AND PROPAGATION OF SINGULARITIES

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On duality theory and pseudodifferential techniques for Colombeau algebras: generalized delta functionals, kernels and wave front sets

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Generalized oscillatory integrals and Fourier integral operators

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Fourier integral operators. I

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Integration and microlocal analysis in Colombeau algebras of generalized functions

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First-order hyperbolic pseudodifferential equations with generalized symbols

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Hölder--Zygmund regularity in algebras of generalized functions

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Microlocal analysis and global solutions of some hyperbolic equations with discontinuous coefficients

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Microlocal properties of basic operations in Colombeau algebras

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Microlocal hypoellipticity of linear partial differential operators with generalized functions as coefficients

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Questions of Existence and Uniqueness for Hyperbolic Equations with Discontinuous Coefficients

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Generalized solutions to symmetric hyperbolic systems with discontinuous coefficients: The multidimensional case

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Hyperbolic systems with discontinuous coefficients: Generalized solutions and a transmission problem in acoustics

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Nonlinear stochastic wave equations

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Geodesics and geodesic deviation for impulsive gravitational waves

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Identifiers

zbMATH Open document ID

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10.1007/978-3-7643-8969-7_8

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Mathematics Subject Classification ID

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zbMATH DE Number

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Mathematics(1 entry)

mardi Publication:3613200

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