Author = Raisi Tousi, Reihaneh

‎On the two-wavelet localization operators on homogeneous spaces with relatively invariant measures

Volume 4, Issue 2, 2017, Pages 1-12

https://doi.org/10.22072/wala.2017.61228.1109

Fatemeh Esmaeelzadeh, Rajab Ali Kamyabi-Gol, Reihaneh Raisi Tousi

Abstract In ‎the present ‎paper, ‎we ‎introduce the ‎two-wavelet ‎localization ‎operator ‎for ‎the square ‎integrable ‎representation ‎of a‎ ‎homogeneous space‎ with respect to a relatively invariant measure. ‎We show that it is a bounded linear operator. We investigate ‎some ‎properties ‎of the ‎two-wavelet ‎localization ‎operator ‎and ‎show ‎that ‎it ‎is a‎ ‎compact ‎operator ‎and is ‎contained ‎in‎ a Schatten $p$-class‎.