ISSN 2347-1921 2764 | Page December 10,2014 A NEW CONSTRUCTION OF MULTIWAVELETS WITH COMPOSITE DILATIONS N. S. SEYEDI, R. A. KAMYABI GOL, F. ESMAEELZADEH 1 Department of mathematics, Ferdowsi University Of Mashhad, P. O. Box 1159, Mashhad 91775, Iran; seyedinajme1367@gmail.com 2 Department of Mathematics, Ferdowsi University OF Mashhad, P. O. Box 1159, Mashhad 91775, Iran; kamyabi@ferdowsi.um.ac.ir. 3 Department of Mathematics, Bojnourd Branch, Islamic Azad University, Bojnourd, Iran; esmaeelzadeh@bojnourdiau.ac.ir ABSTRACT Consider an affine system ) ( AB A with composite dilations b a D D , , in which ) ( , , , R n GL B A B b A a    and ) ( 2 n L R   . It can be made an orthonormal AB -multiwavelet  or a parsval frame AB -wavelet  , by choosing appropriate sets A and B . In this paper, we constructe an orthonormal AB -multiwavelet that arises from AB - multiresolution analysis . Our construction is useful since the group B is shear group. More generally, we give a parsval frame AB -wavelet. Indexing terms/Keywords Wavelet with composite dilation; orthonormal basis; parsval frame; multiwavelet . SUBJECT CLASSIFICATION Mathematics Subject Classification: Primary 43A15, Secondary 42C40. Council for Innovative Research Peer Review Research Publishing System Journal: JOURNAL OF ADVANCES IN MATHEMATICS Vol . 9, No. 6 www.cirjam.com , editorjam@gmail.com