TY - JOUR ID - 29395 TI - ‎On the two-wavelet localization operators on homogeneous spaces with relatively invariant measures JO - Wavelet and Linear Algebra JA - WALA LA - en SN - 2383-1936 AU - Esmaeelzadeh, Fatemeh AU - Kamyabi-Gol, Rajab Ali AU - Raisi Tousi, Reihaneh AD - Department of Mathematics‎, ‎Bojnourd Branch‎, ‎Islamic Azad University‎, ‎Bojnourd‎, ‎Iran AD - Department of Mathematics‎, ‎Center of Excellency in Analysis on Algebraic Structures(CEAAS)‎, ‎Ferdowsi University Of Mashhad‎, Iran AD - ‎Ferdowsi University Of Mashhad Y1 - 2017 PY - 2017 VL - 4 IS - 2 SP - 1 EP - 12 KW - homogenous space‎ KW - ‎square integrable representation‎ KW - ‎wavelet transform‎ KW - ‎ ‎localization operator‎ KW - ‎Schatten $p$-class operator‎ DO - 10.22072/wala.2017.61228.1109 N2 - 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. UR - https://wala.vru.ac.ir/article_29395.html L1 - https://wala.vru.ac.ir/article_29395_ef5554cee1c1583c3bc9f17d5bb7d85c.pdf ER -