Weyl's laws and Connes' integration formulas for matrix-valued \(L\!\log \!L\)-Orlicz potentials (Q2124664)

scientific article

Language	Label	Description	Also known as
English	Weyl's laws and Connes' integration formulas for matrix-valued \(L\!\log \!L\)-Orlicz potentials	scientific article

Statements

instance of

scholarly article

0 references

title

Weyl's laws and Connes' integration formulas for matrix-valued \(L\!\log \!L\)-Orlicz potentials (English)

0 references

author

Raphaël Ponge

0 references

published in

Mathematical Physics, Analysis and Geometry

0 references

publication date

11 April 2022

0 references

full work available at URL

https://arxiv.org/abs/2107.13605

0 references

zbMATH Keywords

semiclassical Weyl's laws

0 references

noncommutative geometry

0 references

Orlicz functions

0 references

Cwikel-Lieb-Rozenblum inequality

0 references

Birman-Schwinger principle, Birman-Schwinger operators

0 references

MaRDI profile type

MaRDI publication profile

0 references

cites work

Estimates of \(s\)-numbers and spectral asymptotics for integral operators of potential type on nonsmooth surfaces

0 references

An estimate for the remainder in the asymptotic expansion of the spectrum of pseudodifferential operators of negative order

0 references

ASYMPTOTICS OF THE SPECTRUM OF COMPACT PSEUDODIFFERENTIAL OPERATORS IN A EUCLIDEAN DOMAIN

0 references

Q4002484

0 references

The negative discrete spectrum of a two-dimensional Schr�dinger operator

0 references

Leading term in the asymptotic spectral formula for ''nonsmooth'' elliptic problems

0 references

Q5664306

0 references

Q4157216

0 references

Q3881417

0 references

Asymptotics of the spectrum of variational problems on solutions of elliptic equations

0 references

Q3861944

0 references

Q3993197

0 references

Schrödinger operator. Estimates for number of bound states as function-theoretical problem

0 references

Asymptotic behavior of the spectrum of the scattering matrix

0 references

The negative discrete spectrum of the operator \((-\Delta)^ l-\alpha V\) in \(L_ 2(\mathbb{R}^ d)\) for \(d\) even and \(2l\geq d\)

0 references

Estimates and extremals for zeta function determinants on four-manifolds

0 references

Bound states in one and two spatial dimensions

0 references

A new proof of the Cwikel-Lieb-Rosenbljum bound

0 references

The action functional in non-commutative geometry

0 references

Q4310044

0 references

Weak type estimates for singular values and the number of bound states of Schrödinger operators

0 references

An uncertainty principle for fermions with generalized kinetic energy

0 references

Q3766214

0 references

Q5515745

0 references

Commutator structure of operator ideals

0 references

Maximum Properties and Inequalities for the Eigenvalues of Completely Continuous Operators

0 references

The uncertainty principle

0 references

Sharp borderline Sobolev inequalities on compact Riemannian manifolds

0 references

Cwikel's theorem and the CLR inequality

0 references

Q5571194

0 references

Negative eigenvalues of two-dimensional Schrödinger operators

0 references

Spectral Asymptotics for Nonsmooth Singular Green Operators

0 references

A new proof of Weyl's formula on the asymptotic distribution of eigenvalues

0 references

Microlocal Analysis, Sharp Spectral Asymptotics and Applications II

0 references

Traces of compact operators and the noncommutative residue

0 references

On estimates for the number of negative eigenvalues of two-dimensional Schrödinger operators with potentials supported by Lipschitz curves

0 references

On negative eigenvalues of two-dimensional Schrödinger operators with singular potentials

0 references

On spectral estimates for two-dimensional Schrödinger operators

0 references

On the noncommutative residue for pseudodifferential operators with log-polyhomogeneous symbols

0 references

The Rozenblum-Lieb-Cwikel inequality for Markov generators

0 references

On the Schrödinger equation and the eigenvalue problem

0 references

Bounds on the eigenvalues of the Laplace and Schroedinger operators

0 references

Q3889819

0 references

Singular traces. Theory and applications

0 references

Bargmann type estimates of the counting function for general Schrödinger operators

0 references

On critical cases of Sobolev's inequalities

0 references

Traces on pseudodifferential operators and sums of commutators

0 references

Noncommutative residue and canonical trace on noncommutative tori. Uniqueness results

0 references

Eigenvalues of singular measures and Connes' noncommutative integration

0 references

Eigenvalue estimates and asymptotics for weighted pseudodifferential operators with singular measures in the critical case

0 references

Riesz \(L_p\) summability of spectral expansions related to the Schrödinger operator with constant magnetic field

0 references

Q5662833

0 references

Banach limits and traces on \(\mathcal{L}_{1, \infty}\)

0 references

On negative eigenvalues of two‐dimensional Schrödinger operators

0 references

Q2736011

0 references

Analysis With Weak Trace Ideals and the Number of Bound States of Schrodinger Operators

0 references

Q5694963

0 references

Convexity

0 references

Operator Theory

0 references

Piecewise-polynomial approximation of functions from \(H^ \ell((0,1)^ d)\), \(2\ell=d\), and applications to the spectral theory of the Schrödinger operator

0 references

Spectral Problems Related to the Critical Exponent in the Sobolev Embedding Theorem

0 references

An estimate for the number of bound states of the Schrödinger operator in two dimensions

0 references

Connes integration formula for the noncommutative plane

0 references

Local invariants of spectral asymmetry

0 references

Q3794944

0 references

Identifiers

zbMATH Open document ID

1486.35445

0 references

DOI

10.1007/s11040-022-09422-9

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:2124664