Vali-e-Asr university of RafsanjanWavelet and Linear Algebra2383-19364120170801Characterizations of amenable hypergroups192336510.22072/wala.2017.23365ENAliGhaffariSemnan UniversityMohammad BagherSahabiPayame Noor UniversityJournal Article20160919Let $K$ be a locally compact hypergroup with left Haar measure and let $L^1(K)$ be the complex Lebesgue space associated with it. Let $L^infty(K)$ be the dual of $L^1(K)$. The purpose of this paper is to present some necessary and sufficient conditions for $L^infty(K)^*$ to have a topologically left invariant mean. Some<br /> characterizations of amenable hypergroups are given.http://wala.vru.ac.ir/article_23365_e3e911df58170eb14ba5a4a8f162ef0c.pdfVali-e-Asr university of RafsanjanWavelet and Linear Algebra2383-19364120170801Determination of subrepresentations of the standard higher dimensional shearlet group11212336610.22072/wala.2017.23366ENMasoumehZareDepartment of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Islamic Republic of Iran.Rajab AliKamyabi-GolDepartment of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Islamic Republic of Iran.ZahraAmiriDepartment of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Islamic Republic of Iran.Journal Article20160720This paper is devoted to definition standard higher dimension shearlet group $ mathbb{S} = mathbb{R}^{+} times mathbb {R}^{n-1} times mathbb {R}^{n} $ and determination of square integrable subrepresentations of this group. Also we give a characterisation of admissible vectors associated to the Hilbert spaces corresponding to each su brepresentations.http://wala.vru.ac.ir/article_23366_278253b8ba374cbd231b1cdf2dd51313.pdfVali-e-Asr university of RafsanjanWavelet and Linear Algebra2383-19364120170801On higher rank numerical hulls of normal matrices23322336710.22072/wala.2017.47123.1080ENGolamrezaAghamollaeiDepartment of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Islamic Republic of IranSharifehRezagholiDepartment of Mathematics, Payame Noor University (PNU) ;Tehran; Islamic Republic of Iran.Journal Article20160811In this paper, some algebraic and geometrical properties of the rank$-k$ numerical hulls of normal matrices are investigated. A characterization of normal matrices whose rank$-1$ numerical hulls are equal to their numerical range is given. Moreover, using the extreme points of the numerical range, the higher rank numerical hulls of matrices of the form $A_1 oplus i A_2$, where $A_1$ and $A_2$ are Hermitian, are investigated. The higher rank numerical hulls of the basic circulant matrix are also studied.http://wala.vru.ac.ir/article_23367_ebbd946a37c2e6eee2b03af2d07bdd99.pdfVali-e-Asr university of RafsanjanWavelet and Linear Algebra2383-19364120170801A-B-imprimitivity bimodule frames33412501110.22072/wala.2017.47173.1081ENAzadehAlijaniVali-e-Asr University of RafsanjanJournal Article20160812Frames in Hilbert bimodules are a special case of frames in Hilbert C*-modules. The paper considers A-frames and B-frames and their relationship in a Hilbert A-B-imprimitivity bimodule. Also, it is given that every frame in Hilbert spaces or Hilbert C*-modules is a semi-tight frame. A relation between A-frames and K(H_B)-frames is obtained in a Hilbert A-B-imprimitivity bimodule. Moreover, the last part of the paper investigates dual of an A-frame and a B-frame and presents a common property for all duals of a frame in a Hilbert A-B-imprimitivity bimodule.http://wala.vru.ac.ir/article_25011_27d211d588301e528d336de1c9906af6.pdfVali-e-Asr university of RafsanjanWavelet and Linear Algebra2383-19364120170801Some results on the block numerical range43512501210.22072/wala.2017.51809.1088ENMostafaZangiabadiUniversity of HormozganHamid RezaAfshinVali-e-Asr University of RafsanjanJournal Article20161030The main results of this paper are generalizations of classical results from the numerical range to the block numerical range.<br /> A different and simpler proof for the Perron-Frobenius theory on the block numerical range of an irreducible nonnegative matrix is given.<br /> In addition, the Wielandt's lemma and the Ky Fan's theorem on the block numerical range are extended.http://wala.vru.ac.ir/article_25012_c4ff34a31d45ccb5ef9f7bc71791f5b0.pdfVali-e-Asr university of RafsanjanWavelet and Linear Algebra2383-19364120170801Wavelet-based numerical method for solving fractional integro-differential equation with a weakly singular kernel53732938710.22072/wala.2017.52567.1091ENFakhrodinMohammadiDepartment of Mathematics‎, ‎University of ‎Hormozgan‎, ‎P‎. ‎O‎. ‎Box 3995‎, ‎Bandarabbas‎, ‎Iran0000-0001-9814-0367ArmandoCiancioDepartment of Biomedical Sciences and Morphological and Functional Imaging‎,‎ University of Messina‎, ‎via Consolare Valeria 1‎, ‎98125 MESSINA‎, ‎ItalyJournal Article20161110This paper describes and compares application of wavelet basis and Block-Pulse functions (BPFs) for solving fractional integro-differential equation (FIDE) with a weakly singular kernel. First, a collocation method based on Haar wavelets (HW), Legendre wavelet (LW), Chebyshev wavelets (CHW), second kind Chebyshev wavelets (SKCHW), Cos and Sin wavelets (CASW) and BPFs are presented for driving approximate solution FIDEs with a weakly singular kernel. Error estimates of all proposed numerical methods are given to test the convergence and accuracy of the method. A comparative study of accuracy and computational time for the presented techniques is given.http://wala.vru.ac.ir/article_29387_eba4b5ca1c590ac187007f13d8603195.pdf