2017
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Characterizations of amenable hypergroups
2
2
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.
1

1
9


Ali
Ghaffari
Semnan University
Semnan University
Iran
aghaffari@semnan.ac.ir


Mohammad Bagher
Sahabi
Payame Noor University
Payame Noor University
Iran
b_sahabi@yahoo.com
Amenability
Banach algebras
Hypergroup algebras
Left invariant mean
Topologically left invariant mean
Determination of subrepresentations of the standard higher dimensional shearlet group
2
2
This paper is devoted to definition standard higher dimension shearlet group $ mathbb{S} = mathbb{R}^{+} times mathbb {R}^{n1} 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.
1

11
21


masoumeh
zare
Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Islamic Republic of Iran.
Department of Pure Mathematics, Ferdowsi
Iran
zare.masume@gmail.com


Rajab ali
KamyabiGol
Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Islamic Republic of Iran.
Department of Pure Mathematics, Ferdowsi
Iran
kamyabi@um.ac.ir


Zahra
amiri
Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Islamic Republic of Iran.
Department of Pure Mathematics, Ferdowsi
Iran
za_am10@stu.um.ac.ir
orbit
standard higher dimensional shearlet group
squareintegrable representation
On higher rank numerical hulls of normal matrices
2
2
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.
1

23
32


Golamreza
Aghamollaei
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
Iran
aghamollaei@uk.ac.ir


Sharifeh
Rezagholi
Department of Mathematics, Payame Noor University (PNU) ;Tehran; Islamic Republic of Iran.
Department of Mathematics, Payame Noor University
Iran
sh_rezagholi79@yahoo.com
Rankk numerical hulls
Joint rankk numerical range
Polynomial numerical hull
basic circulant matrix
ABimprimitivity bimodule frames
2
2
Frames in Hilbert bimodules are a special case of frames in Hilbert C*modules. The paper considers Aframes and Bframes and their relationship in a Hilbert ABimprimitivity bimodule. Also, it is given that every frame in Hilbert spaces or Hilbert C*modules is a semitight frame. A relation between Aframes and K(H_B)frames is obtained in a Hilbert ABimprimitivity bimodule. Moreover, the last part of the paper investigates dual of an Aframe and a Bframe and presents a common property for all duals of a frame in a Hilbert ABimprimitivity bimodule.
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33
41


Azadeh
Alijani
ValieAsr University of Rafsanjan
ValieAsr University of Rafsanjan
Iran
a_aligany@yahoo.com
ABimprimitivity bimodule Frame
Frame
Hilbert ABimprimitivity bimodule
Semitight frame
Some results on the block numerical range
2
2
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 PerronFrobenius 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.
1

43
51


Mostafa
Zangiabadi
University of Hormozgan
University of Hormozgan
Iran
zangiabadi1@gmail.com


Hamid Reza
Afshin
ValieAsr University of Rafsanjan
ValieAsr University of Rafsanjan
Iran
afshin@vru.ac.ir
block numerical range
nonnegative matrix
numerical range
PerronFrobenius theory
Waveletbased numerical method for solving fractional integrodifferential equation with a weakly singular kernel
2
2
This paper describes and compares application of wavelet basis and BlockPulse functions (BPFs) for solving fractional integrodifferential 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.
1

53
73


Fakhrodin
Mohammadi
Department of Mathematics, University of Hormozgan, P. O. Box 3995, Bandarabbas, Islamic Republic of Iran.
Department of Mathematics, University
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.
Department of Biomedical Sciences and Morphologica
Iran
aciancio@unime.it