eng
Vali-e-Asr university of Rafsanjan
Wavelet and Linear Algebra
2383-1936
2476-3926
2017-08-01
4
1
1
9
10.22072/wala.2017.23365
23365
Characterizations of amenable hypergroups
Ali Ghaffari
aghaffari@semnan.ac.ir
1
Mohammad Bagher Sahabi
b_sahabi@yahoo.com
2
Semnan University
Payame Noor University
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<br /> characterizations of amenable hypergroups are given.
http://wala.vru.ac.ir/article_23365_e3e911df58170eb14ba5a4a8f162ef0c.pdf
Amenability
Banach algebras
Hypergroup algebras
Left invariant mean
Topologically left invariant mean
eng
Vali-e-Asr university of Rafsanjan
Wavelet and Linear Algebra
2383-1936
2476-3926
2017-08-01
4
1
11
21
10.22072/wala.2017.23366
23366
Determination of subrepresentations of the standard higher dimensional shearlet group
Masoumeh zare
zare.masume@gmail.com
1
Rajab ali Kamyabi-Gol
kamyabi@um.ac.ir
2
Zahra amiri
za_am10@stu.um.ac.ir
3
Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Islamic Republic of Iran.
Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Islamic Republic of Iran.
Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Islamic Republic of Iran.
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.
http://wala.vru.ac.ir/article_23366_278253b8ba374cbd231b1cdf2dd51313.pdf
orbit
standard higher dimensional shearlet group
square-integrable representation
eng
Vali-e-Asr university of Rafsanjan
Wavelet and Linear Algebra
2383-1936
2476-3926
2017-08-01
4
1
23
32
10.22072/wala.2017.47123.1080
23367
On higher rank numerical hulls of normal matrices
Golamreza Aghamollaei
aghamollaei@uk.ac.ir
1
Sharifeh Rezagholi
sh_rezagholi79@yahoo.com
2
Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Islamic Republic of Iran
Department of Mathematics, Payame Noor University (PNU) ;Tehran; Islamic Republic of Iran.
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.
http://wala.vru.ac.ir/article_23367_ebbd946a37c2e6eee2b03af2d07bdd99.pdf
Rank-k numerical hulls
Joint rank-k numerical range
Polynomial numerical hull
basic circulant matrix
eng
Vali-e-Asr university of Rafsanjan
Wavelet and Linear Algebra
2383-1936
2476-3926
2017-08-01
4
1
33
41
10.22072/wala.2017.47173.1081
25011
A-B-imprimitivity bimodule frames
Azadeh Alijani
a_aligany@yahoo.com
1
Vali-e-Asr University of Rafsanjan
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.
http://wala.vru.ac.ir/article_25011_27d211d588301e528d336de1c9906af6.pdf
A-B-imprimitivity bimodule Frame
Frame
Hilbert A-B-imprimitivity bimodule
Semi-tight frame
eng
Vali-e-Asr university of Rafsanjan
Wavelet and Linear Algebra
2383-1936
2476-3926
2017-08-01
4
1
43
51
10.22072/wala.2017.51809.1088
25012
Some results on the block numerical range
Mostafa Zangiabadi
zangiabadi1@gmail.com
1
Hamid Reza Afshin
afshin@vru.ac.ir
2
University of Hormozgan
Vali-e-Asr University of Rafsanjan
The 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.pdf
block numerical range
nonnegative matrix
numerical range
Perron-Frobenius theory
eng
Vali-e-Asr university of Rafsanjan
Wavelet and Linear Algebra
2383-1936
2476-3926
2017-08-01
4
1
53
73
10.22072/wala.2017.52567.1091
29387
Wavelet-based numerical method for solving fractional integro-differential equation with a weakly singular kernel
Fakhrodin Mohammadi
f.mohammadi62@hotmail.com
1
Armando Ciancio
aciancio@unime.it
2
Department of Mathematics‎, ‎University of ‎Hormozgan‎, ‎P‎. ‎O‎. ‎Box 3995‎, ‎Bandarabbas‎, ‎Iran
Department of Biomedical Sciences and Morphological and Functional Imaging‎,‎ University of Messina‎, ‎via Consolare Valeria 1‎, ‎98125 MESSINA‎, ‎Italy
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.
http://wala.vru.ac.ir/article_29387_eba4b5ca1c590ac187007f13d8603195.pdf
Fractional integro-differential equation
Weakly singular integral kernel
Collocation method, Error estimates