Ellipticity of Fredholm Pseudo-Differential Operators on L p (ℝ n )

DOI10.1007/978-3-7643-8969-7_6zbMath1170.47030OpenAlexW219992899MaRDI QIDQ3613198

Aparajita Dasgupta

Publication date: 12 March 2009

Published in: New Developments in Pseudo-Differential Operators (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-7643-8969-7_6

zbMATH Keywords

Sobolev spacesFredholm operatorspseudo-differential operatorselliptic pseudo-differential operatorsSG pseudo-differential operators

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) (Semi-) Fredholm operators; index theories (47A53) Pseudodifferential operators (47G30)

Related Items (5)

Adaptive Wavelet Computations for Inverses of Pseudo-Differential Operators ⋮ Mellin Operators with Asymptotics on Manifolds with Corners ⋮ Ellipticity and Fredholmness of pseudo-differential operators on ℓ²(ℤⁿ) ⋮ Ellipticity, Fredholmness and spectral invariance of pseudo-differential operators on \({{\mathbb S}^1}\) ⋮ \(M\)-ellipticity of Fredholm pseudo-differential operators on \(L^p (\mathbb{R}^n)\) and Gårding's inequality

Cites Work

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• Elliptic mixed, transmission and singular crack problems
• SG-pseudodifferential operators and Gelfand-Shilov spaces
• Pseudodifferential operators on \(R^ n\) with bounded symbols
• Spectral theory of SG pseudo-differential operators on L^p(Rⁿ)
• $K$-theory of $\mathrm {SG}$-pseudo-differential algebras
• M ‐elliptic pseudo‐differential operators on L^p(ℝⁿ)

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