Estimates for the spectral shift function of the polyharmonic operator

DOI10.1063/1.533047zbMath0954.47036OpenAlexW2018910446MaRDI QIDQ4498475

Alexander Pushnitski

Publication date: 16 August 2000

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/216ffd27c40ea3517aacdcecba872bf471eb4a4a

zbMATH Keywords

multiplication operatorspectral shift functions

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) General topics in linear spectral theory for PDEs (35P05) Perturbation theory of linear operators (47A55) General theory of partial differential operators (47F05)

Related Items (5)

The Lieb–Thirring inequalities: Recent results and open problems ⋮ Bounds on the spectral shift function and the density of states ⋮ Spectral shift function, amazing and multifaceted ⋮ Spectral shift function in the large coupling constant limit ⋮ Spectral shift function in strong magnetic fields

Cites Work

• Weak type estimates for singular values and the number of bound states of Schrödinger operators
• Piecewise-polynomial approximation of functions from \(H^ \ell((0,1)^ d)\), \(2\ell=d\), and applications to the spectral theory of the Schrödinger operator
• Bounds on the eigenvalues of the Laplace and Schroedinger operators
• ESTIMATES OF SINGULAR NUMBERS OF INTEGRAL OPERATORS
• SCATTERING THEORY APPROACH TO RANDOM SCHRÖDINGER OPERATORS IN ONE DIMENSION
• [https://portal.mardi4nfdi.de/wiki/Publication:4893803 The negative discrete spectrum of a two-dimensional Schr�dinger operator]

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