Vali-e-Asr university of Rafsanjan
Wavelet and Linear Algebra
2383-1936
2476-3926
4
1
2017
07
01
Characterizations of amenable hypergroups
1
9
EN
Ali
Ghaffari
Semnan University
aghaffari@semnan.ac.ir
Mohammad Bagher
Sahabi
Payame Noor University
b_sahabi@yahoo.com
10.22072/wala.2017.23365
Let $K$ 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 characterizations of amenable hypergroups are given.
Amenability,Banach algebras,Hypergroup algebras,Left invariant mean,Topologically left invariant mean
http://wala.vru.ac.ir/article_23365.html
http://wala.vru.ac.ir/article_23365_e3e911df58170eb14ba5a4a8f162ef0c.pdf
Vali-e-Asr university of Rafsanjan
Wavelet and Linear Algebra
2383-1936
2476-3926
4
1
2017
07
01
Determination of subrepresentations of the standard higher dimensional shearlet group
11
21
EN
Masoumeh
zare
Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Islamic Republic of Iran.
zare.masume@gmail.com
Rajab ali
Kamyabi-Gol
Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Islamic Republic of Iran.
kamyabi@um.ac.ir
Zahra
amiri
Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Islamic Republic of Iran.
za_am10@stu.um.ac.ir
10.22072/wala.2017.23366
This 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.
orbit,standard higher dimensional shearlet group,square-integrable representation
http://wala.vru.ac.ir/article_23366.html
http://wala.vru.ac.ir/article_23366_278253b8ba374cbd231b1cdf2dd51313.pdf
Vali-e-Asr university of Rafsanjan
Wavelet and Linear Algebra
2383-1936
2476-3926
4
1
2017
07
01
On higher rank numerical hulls of normal matrices
23
32
EN
Golamreza
Aghamollaei
Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Islamic Republic of Iran
aghamollaei@uk.ac.ir
Sharifeh
Rezagholi
Department of Mathematics, Payame Noor University (PNU) ;Tehran; Islamic Republic of Iran.
sh_rezagholi79@yahoo.com
10.22072/wala.2017.47123.1080
In 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.
Rank-k numerical hulls,Joint rank-k numerical range,Polynomial numerical hull,basic circulant matrix
http://wala.vru.ac.ir/article_23367.html
http://wala.vru.ac.ir/article_23367_ebbd946a37c2e6eee2b03af2d07bdd99.pdf
Vali-e-Asr university of Rafsanjan
Wavelet and Linear Algebra
2383-1936
2476-3926
4
1
2017
07
01
A-B-imprimitivity bimodule frames
33
41
EN
Azadeh
Alijani
Vali-e-Asr University of Rafsanjan
a_aligany@yahoo.com
10.22072/wala.2017.47173.1081
Frames 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.
A-B-imprimitivity bimodule Frame,Frame,Hilbert A-B-imprimitivity bimodule,Semi-tight frame
http://wala.vru.ac.ir/article_25011.html
http://wala.vru.ac.ir/article_25011_27d211d588301e528d336de1c9906af6.pdf
Vali-e-Asr university of Rafsanjan
Wavelet and Linear Algebra
2383-1936
2476-3926
4
1
2017
07
01
Some results on the block numerical range
43
51
EN
Mostafa
Zangiabadi
University of Hormozgan
zangiabadi1@gmail.com
Hamid Reza
Afshin
Vali-e-Asr University of Rafsanjan
afshin@vru.ac.ir
10.22072/wala.2017.51809.1088
The main results of this paper are generalizations of classical results from the numerical range to the block numerical range. A different and simpler proof for the Perron-Frobenius theory on the block numerical range of an irreducible nonnegative matrix is given. In addition, the Wielandt's lemma and the Ky Fan's theorem on the block numerical range are extended.
block numerical range,nonnegative matrix,numerical range,Perron-Frobenius theory
http://wala.vru.ac.ir/article_25012.html
http://wala.vru.ac.ir/article_25012_c4ff34a31d45ccb5ef9f7bc71791f5b0.pdf
Vali-e-Asr university of Rafsanjan
Wavelet and Linear Algebra
2383-1936
2476-3926
4
1
2017
07
01
Wavelet-based numerical method for solving fractional integro-differential equation with a weakly singular kernel
53
73
EN
Fakhrodin
Mohammadi
0000-0001-9814-0367
Department of Mathematics‎, ‎University of ‎Hormozgan‎, ‎P‎. ‎O‎. ‎Box 3995‎, ‎Bandarabbas‎, ‎Iran
f.mohammadi62@hotmail.com
Armando
Ciancio
Department of Biomedical Sciences and Morphological and Functional Imaging‎,‎ University of Messina‎, ‎via Consolare Valeria 1‎, ‎98125 MESSINA‎, ‎Italy
aciancio@unime.it
10.22072/wala.2017.52567.1091
This 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.
Fractional integro-differential equation,Weakly singular integral kernel,Collocation method, Error estimates
http://wala.vru.ac.ir/article_29387.html
http://wala.vru.ac.ir/article_29387_eba4b5ca1c590ac187007f13d8603195.pdf