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

DOI10.1090/proc/15661zbMath1491.35472arXiv1910.05582OpenAlexW3164302545WikidataQ115290696 ScholiaQ115290696MaRDI QIDQ5081516

Vishvesh Kumar, Aparajita Dasgupta

Publication date: 15 June 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.05582

zbMATH Keywords

indexFredholmnessellipticityminimal and maximal operators

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Harmonic analysis on homogeneous spaces (43A85) Pseudodifferential operators (47G30) Harmonic analysis on general compact groups (43A77)

Related Items (3)

Dixmier traces for discrete pseudo-differential operators ⋮ The nuclear trace of periodic vector‐valued pseudo‐differential operators with applications to index theory ⋮ Symbolic calculus and M-ellipticity of pseudo-differential operators on ℤn

Cites Work

• Unnamed Item
• Unnamed Item
• A study on pseudo-differential operators on \(\mathbb {S}^{1}\) and \(\mathbb {Z}\)
• Hörmander class of pseudo-differential operators on compact Lie groups and global hypoellipticity
• Ellipticity, Fredholmness and spectral invariance of pseudo-differential operators on \({{\mathbb S}^1}\)
• Exponential estimates of solutions of pseudodifferential equations on the lattice \((h \mathbb Z)^n\): applications to the lattice Schrödinger and Dirac operators
• Quantization of pseudo-differential operators on the torus
• Sharp Gårding inequality on compact Lie groups
• Fredholm pseudo-differential operators on weighted Sobolev spaces
• The analysis of linear partial differential operators. III: Pseudo-differential operators
• Spectral theory of pseudo-differential operators
• \(L^p\)-estimates for pseudo-differential operators on \({\mathbb{Z}^n}\)
• Pseudodifference operators on weighted spaces, and applications to discrete schrödinger operators
• Dixmier traces for discrete pseudo-differential operators
• Global functional calculus for operators on compact Lie groups
• Difference equations and pseudo-differential operators on \(\mathbb{Z}^n\)
• Pseudo-differential operators on \(\mathbb{Z}^n\) with applications to discrete fractional integral operators
• \(L^p\)-boundedness and \(L^p\)-nuclearity of multilinear pseudo-differential operators on \(\mathbb{Z}^n\) and the torus \(\mathbb{T}^n\)
• Pseudodifferential operators on \(R^ n\) with bounded symbols
• $L^p$-nuclear pseudo-differential operators on $\mathbb {Z}$ and $\mathbb {S}^1$
• On the Toroidal Quantization of Periodic Pseudo-Differential Operators
• Spectral theory of SG pseudo-differential operators on L^p(Rⁿ)
• On the Fourier Analysis of Operators on the Torus
• Pseudo-Differential Operators and Symmetries
• Ellipticity of Fredholm Pseudo-Differential Operators on L p (ℝ n )
• Essential spectra and exponential estimates of eigenfunctions of lattice operators of quantum mechanics
• An Introduction to Pseudo-Differential Operators
• M ‐elliptic pseudo‐differential operators on L^p(ℝⁿ)
• Band-dominated operators with operator-valued coefficients, their Fredholm properties and finite sections

This page was built for publication: Ellipticity and Fredholmness of pseudo-differential operators on ℓ²(ℤⁿ)