Loughborough University
Browse

On the number and sums of eigenvalues of Schrödinger-type operators with degenerate kinetic energy

chapter
posted on 2023-10-19, 11:19 authored by Jean-Claude CueninJean-Claude Cuenin, Konstantin Merz
We estimate sums of functions of negative eigenvalues of Schrödinger-type operators whose kinetic energy vanishes on a codimension one submanifold. Our main technical tool is the Stein–Tomas theorem and some of its generalizations.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

From Complex Analysis to Operator Theory: A Panorama

Pages

313 - 340

Publisher

Birkhäuser

Version

  • AM (Accepted Manuscript)

Rights holder

© The Author(s), under exclusive license to Springer Nature Switzerland AG

Publisher statement

This book chapter was accepted for publication in the book From Complex Analysis to Operator Theory: A Panorama [© The Author(s), under exclusive license to Springer Nature Switzerland AG]. The published version is available at: https://doi.org/10.1007/978-3-031-31139-0_13

Publication date

2023-09-22

Copyright date

2023

ISBN

9783031311383; 9783031311390; 9783031311413

Book series

Operator Theory: Advances and Applications; 291

Language

  • en

Editor(s)

Malcolm Brown; Fritz Gesztesy; Pavel Kurasov; Ari Laptev; Barry Simon; Gunter Stolz; Ian Wood

Depositor

Dr Jean-Claude Cuenin. Deposit date: 18 October 2023

Usage metrics

    Loughborough Publications

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC