Ellipticity and Fredholmness of pseudo-differential operators on ℓ²(ℤⁿ) (Q5081516)

scientific article; zbMATH DE number 7541828

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English	Ellipticity and Fredholmness of pseudo-differential operators on ℓ²(ℤⁿ)	scientific article; zbMATH DE number 7541828

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instance of

scholarly article

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title

Ellipticity and Fredholmness of pseudo-differential operators on ℓ²(ℤⁿ) (English)

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Proceedings of the American Mathematical Society

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publication date

15 June 2022

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full work available at URL

https://arxiv.org/abs/1910.05582

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zbMATH Keywords

minimal and maximal operators

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ellipticity

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Fredholmness

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index

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MaRDI profile type

MaRDI publication profile

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cites work

Difference equations and pseudo-differential operators on $\mathbb{Z}^n$

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Dixmier traces for discrete pseudo-differential operators

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$L^p$-boundedness and $L^p$-nuclearity of multilinear pseudo-differential operators on $\mathbb{Z}^n$ and the torus $\mathbb{T}^n$

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Pseudo-differential operators on $\mathbb{Z}^n$ with applications to discrete fractional integral operators

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Q4328330

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

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Spectral theory of SG pseudo-differential operators on Lp(Rn)

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$L^p$-nuclear pseudo-differential operators on $\mathbb {Z}$ and $\mathbb {S}^1$

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A study on pseudo-differential operators on $\mathbb {S}^{1}$ and $\mathbb {Z}$

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Pseudodifferential operators on $R^ n$ with bounded symbols

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The analysis of linear partial differential operators. III: Pseudo-differential operators

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Ellipticity, Fredholmness and spectral invariance of pseudo-differential operators on ${{\mathbb S}^1}$

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Q3079606

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Exponential estimates of solutions of pseudodifferential equations on the lattice $(h \mathbb Z)^n$: applications to the lattice Schrödinger and Dirac operators

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Essential spectra and exponential estimates of eigenfunctions of lattice operators of quantum mechanics

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Pseudodifference operators on weighted spaces, and applications to discrete schrödinger operators

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Band-dominated operators with operator-valued coefficients, their Fredholm properties and finite sections

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$L^p$-estimates for pseudo-differential operators on ${\mathbb{Z}^n}$

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On the Fourier Analysis of Operators on the Torus

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Pseudo-Differential Operators and Symmetries

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On the Toroidal Quantization of Periodic Pseudo-Differential Operators

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Quantization of pseudo-differential operators on the torus

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Sharp Gårding inequality on compact Lie groups

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Hörmander class of pseudo-differential operators on compact Lie groups and global hypoellipticity

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Global functional calculus for operators on compact Lie groups

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Fredholm pseudo-differential operators on weighted Sobolev spaces

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Spectral theory of pseudo-differential operators

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M ‐elliptic pseudo‐differential operators on Lp(ℝn)

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An Introduction to Pseudo-Differential Operators

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Identifiers

zbMATH Open document ID

1491.35472

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DOI

10.1090/proc/15661

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5081516