Weighted integral Hankel operators with continuous spectrum

Emilio 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 -