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

DOI10.1016/S0022-247X(03)00357-3zbMath1025.35012MaRDI QIDQ1406537

D. Massart

Publication date: 4 September 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

spectral functionRiesz summation operator

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) General theory of partial differential operators (47F05) PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10)

Related Items (3)

Weyl's laws and Connes' integration formulas for matrix-valued \(L\!\log \!L\)-Orlicz potentials ⋮ Almost everywhere convergence of Riesz means related to Schrödinger operator with constant magnetic fields ⋮ A Marcinkiewicz criterion for \(L^p\)-multipliers related to Schrödinger operators with constant magnetic fields

Cites Work

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• On the convergence of Riesz means on compact manifolds
• Twisted convolution and Riesz means
• Riesz summability of multiple Hermite series in \(L^ p\) spaces
• The multiplier problem for the ball
• Oscillatory integrals and multiplier problem for the disc

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