Symbolic calculus and M-ellipticity of pseudo-differential operators on ℤn (Q6085659)

scientific article; zbMATH DE number 7762703

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English	Symbolic calculus and M-ellipticity of pseudo-differential operators on ℤn	scientific article; zbMATH DE number 7762703

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instance of

scholarly article

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title

Symbolic calculus and M-ellipticity of pseudo-differential operators on ℤn (English)

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Analysis and Applications

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publication date

8 November 2023

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full work available at URL

https://arxiv.org/abs/2111.10224

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zbMATH Keywords

pseudo-differential operators

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ellipticity

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$M$-elliptic

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symbolic calculus

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minimal operators

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maximal operators

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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

Fredholmness property of $M$-elliptic pseudo-differential operator under change variable in its symbol

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Q5803586

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A general calculus of pseudodifferential operators

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Q3603128

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

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

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Dixmier traces for discrete pseudo-differential operators

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Multilinear analysis for discrete and periodic pseudo-differential operators inLp-spaces

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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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Hilbert-Schmidt and trace class pseudo-differential operators on the abstract Heisenberg group

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

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Discrete time-dependent wave equations. I. Semiclassical analysis

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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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L$^p$ bounds for pseudo-differential operators

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A pseudo-differential calculus on the Heisenberg group

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Q4665146

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$L^p$-bounded pseudodifferential operators and regularity for multi-quasi-elliptic equations

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m-Microlocal elliptic pseudodifferential operators acting on L loc p(Ω)

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Q3736112

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Essential spectrum of $M$-hypoelliptic pseudo-differential operators on the torus

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Pseudo-differential operators on homogeneous spaces of compact and Hausdorff groups

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Trace class and Hilbert-Schmidt pseudo differential operators on step two nilpotent Lie groups

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Q3079606

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

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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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Wiener algebra of operators on the lattice (μ ℤ)ndepending on the small parameter μ>0

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The essential spectrum of Schrödinger operators on lattices

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

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On the Fourier Analysis of Operators on the Torus

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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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Pseudo-Differential Operators and Symmetries

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Sharp Gårding inequality on compact Lie groups

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Global Quantization of Pseudo-Differential Operators on Compact Lie Groups, SU(2), 3-sphere, and Homogeneous Spaces

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

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Non‐harmonic Gohberg's lemma, Gershgorin theory and heat equation on manifolds with boundary

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Global functional calculus for operators on compact Lie groups

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Q3900552

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Q4488214

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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

1526.35347

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arXiv ID

2111.10224

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Mathematics Subject Classification ID

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10.1142/S0219530523500215

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Sitelinks

Mathematics(1 entry)

mardi Publication:6085659