Rate of decay at high energy of local spectral projections associated with Schrödinger operators
type: Item
instance of: scholarly article
title: Rate of decay at high energy of local spectral projections associated with Schrödinger operators
zbMATH Open document ID: 0686.35092
published in: Journal of the Mathematical Society of Japan
publication date: 1989-01-01T00:00:00Z
review text: Let \(H=-(1/2)\Delta +V(x)\) be a Schrödinger operator defined on \(S({\mathbb{R}}^ n)\) with a potential V satisfying \(| \partial^{\alpha}_ xV(x)| \leq C_{\alpha}(1+| x|^ 2)^{(m-| \alpha |)/2}.\) Let \(\bar H\) be a selfadjoint extension of H on \(L^ 2({\mathbb{R}}^ n)\). The author studies the rate of decay of high energy of the local spectral projections of \(\bar H.\)
Mathematics Subject Classification ID: 35P99
Mathematics Subject Classification ID: 35J10
Mathematics Subject Classification ID: 81Q10
zbMATH DE Number: 4124265
zbMATH Keywords: local spectral projections
zbMATH Keywords: high energy decay
author: Kenji Yajima
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2969/jmsj/04110117
OpenAlex ID: W1970618497
DOI: 10.2969/JMSJ/04110117
description: scientific article; zbMATH DE number 4124265