# Weighted integral Hankel operators with continuous spectrum

Emilio Fedele; Alexander Pushnitski

Concrete Operators (2017)

- Volume: 4, Issue: 1, page 121-129
- ISSN: 2299-3282

## Access Full Article

top## Abstract

top## How to cite

topEmilio Fedele, and Alexander Pushnitski. "Weighted integral Hankel operators with continuous spectrum." Concrete Operators 4.1 (2017): 121-129. <http://eudml.org/doc/288550>.

@article{EmilioFedele2017,

abstract = {Using the Kato-Rosenblum theorem, we describe the absolutely continuous spectrum of a class of weighted integral Hankel operators in L2(ℝ+). These self-adjoint operators generalise the explicitly diagonalisable operator with the integral kernel sαtα(s + t)-1-2α, where α > -1/2. Our analysis can be considered as an extension of J. Howland’s 1992 paper which dealt with the unweighted case, corresponding to α = 0.},

author = {Emilio Fedele, Alexander Pushnitski},

journal = {Concrete Operators},

keywords = {Weighted Hankel operators; Absolutely continuous spectrum; Carleman operator},

language = {eng},

number = {1},

pages = {121-129},

title = {Weighted integral Hankel operators with continuous spectrum},

url = {http://eudml.org/doc/288550},

volume = {4},

year = {2017},

}

TY - JOUR

AU - Emilio Fedele

AU - Alexander Pushnitski

TI - Weighted integral Hankel operators with continuous spectrum

JO - Concrete Operators

PY - 2017

VL - 4

IS - 1

SP - 121

EP - 129

AB - Using the Kato-Rosenblum theorem, we describe the absolutely continuous spectrum of a class of weighted integral Hankel operators in L2(ℝ+). These self-adjoint operators generalise the explicitly diagonalisable operator with the integral kernel sαtα(s + t)-1-2α, where α > -1/2. Our analysis can be considered as an extension of J. Howland’s 1992 paper which dealt with the unweighted case, corresponding to α = 0.

LA - eng

KW - Weighted Hankel operators; Absolutely continuous spectrum; Carleman operator

UR - http://eudml.org/doc/288550

ER -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.