ORIGINAL_ARTICLE
Characterizations of amenable hypergroups
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.
http://wala.vru.ac.ir/article_23365_e3e911df58170eb14ba5a4a8f162ef0c.pdf
2017-07-01T11:23:20
2018-06-24T11:23:20
1
9
10.22072/wala.2017.23365
Amenability
Banach algebras
Hypergroup algebras
Left invariant mean
Topologically left invariant mean
Ali
Ghaffari
aghaffari@semnan.ac.ir
true
1
Semnan University
Semnan University
Semnan University
LEAD_AUTHOR
Mohammad Bagher
Sahabi
b_sahabi@yahoo.com
true
2
Payame Noor University
Payame Noor University
Payame Noor University
AUTHOR
ORIGINAL_ARTICLE
Determination of subrepresentations of the standard higher dimensional shearlet group
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
2017-07-01T11:23:20
2018-06-24T11:23:20
11
21
10.22072/wala.2017.23366
orbit
standard higher dimensional shearlet group
square-integrable representation
Masoumeh
zare
zare.masume@gmail.com
true
1
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.
LEAD_AUTHOR
Rajab ali
Kamyabi-Gol
kamyabi@um.ac.ir
true
2
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.
AUTHOR
Zahra
amiri
za_am10@stu.um.ac.ir
true
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.
AUTHOR
ORIGINAL_ARTICLE
On higher rank numerical hulls of normal matrices
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
2017-07-01T11:23:20
2018-06-24T11:23:20
23
32
10.22072/wala.2017.47123.1080
Rank-k numerical hulls
Joint rank-k numerical range
Polynomial numerical hull
basic circulant matrix
Golamreza
Aghamollaei
aghamollaei@uk.ac.ir
true
1
Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Islamic Republic of Iran
Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Islamic Republic of Iran
Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Islamic Republic of Iran
LEAD_AUTHOR
Sharifeh
Rezagholi
sh_rezagholi79@yahoo.com
true
2
Department of Mathematics, Payame Noor University (PNU) ;Tehran; Islamic Republic of Iran.
Department of Mathematics, Payame Noor University (PNU) ;Tehran; Islamic Republic of Iran.
Department of Mathematics, Payame Noor University (PNU) ;Tehran; Islamic Republic of Iran.
AUTHOR
ORIGINAL_ARTICLE
A-B-imprimitivity bimodule frames
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
2017-07-01T11:23:20
2018-06-24T11:23:20
33
41
10.22072/wala.2017.47173.1081
A-B-imprimitivity bimodule Frame
Frame
Hilbert A-B-imprimitivity bimodule
Semi-tight frame
Azadeh
Alijani
a_aligany@yahoo.com
true
1
Vali-e-Asr University of Rafsanjan
Vali-e-Asr University of Rafsanjan
Vali-e-Asr University of Rafsanjan
LEAD_AUTHOR
ORIGINAL_ARTICLE
Some results on the block numerical range
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.
http://wala.vru.ac.ir/article_25012_c4ff34a31d45ccb5ef9f7bc71791f5b0.pdf
2017-07-01T11:23:20
2018-06-24T11:23:20
43
51
10.22072/wala.2017.51809.1088
block numerical range
nonnegative matrix
numerical range
Perron-Frobenius theory
Mostafa
Zangiabadi
zangiabadi1@gmail.com
true
1
University of Hormozgan
University of Hormozgan
University of Hormozgan
LEAD_AUTHOR
Hamid Reza
Afshin
afshin@vru.ac.ir
true
2
Vali-e-Asr University of Rafsanjan
Vali-e-Asr University of Rafsanjan
Vali-e-Asr University of Rafsanjan
AUTHOR
ORIGINAL_ARTICLE
Wavelet-based numerical method for solving fractional integro-differential equation with a weakly singular kernel
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
2017-07-01T11:23:20
2018-06-24T11:23:20
53
73
10.22072/wala.2017.52567.1091
Fractional integro-differential equation
Weakly singular integral kernel
Collocation method, Error estimates
Fakhrodin
Mohammadi
f.mohammadi62@hotmail.com
true
1
Department of Mathematics‎, ‎University of ‎Hormozgan‎, ‎P‎. ‎O‎. ‎Box 3995‎, ‎Bandarabbas‎, ‎Iran
Department of Mathematics‎, ‎University of ‎Hormozgan‎, ‎P‎. ‎O‎. ‎Box 3995‎, ‎Bandarabbas‎, ‎Iran
Department of Mathematics‎, ‎University of ‎Hormozgan‎, ‎P‎. ‎O‎. ‎Box 3995‎, ‎Bandarabbas‎, ‎Iran
LEAD_AUTHOR
Armando
Ciancio
aciancio@unime.it
true
2
Department of Biomedical Sciences and Morphological and Functional Imaging‎,‎ University of Messina‎, ‎via Consolare Valeria 1‎, ‎98125 MESSINA‎, ‎Italy
Department of Biomedical Sciences and Morphological and Functional Imaging‎,‎ University of Messina‎, ‎via Consolare Valeria 1‎, ‎98125 MESSINA‎, ‎Italy
Department of Biomedical Sciences and Morphological and Functional Imaging‎,‎ University of Messina‎, ‎via Consolare Valeria 1‎, ‎98125 MESSINA‎, ‎Italy
AUTHOR