Characterizations of amenable hypergroups
Ali
Ghaffari
Semnan University
author
Mohammad Bagher
Sahabi
Payame Noor University
author
text
article
2017
eng
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.
Wavelet and Linear Algebra
Vali-e-Asr university of Rafsanjan
2383-1936
4
v.
1
no.
2017
1
9
http://wala.vru.ac.ir/article_23365_e3e911df58170eb14ba5a4a8f162ef0c.pdf
dx.doi.org/10.22072/wala.2017.23365
Determination of subrepresentations of the standard higher dimensional shearlet group
Masoumeh
zare
Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Islamic Republic of Iran.
author
Rajab ali
Kamyabi-Gol
Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Islamic Republic of Iran.
author
Zahra
amiri
Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Islamic Republic of Iran.
author
text
article
2017
eng
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.
Wavelet and Linear Algebra
Vali-e-Asr university of Rafsanjan
2383-1936
4
v.
1
no.
2017
11
21
http://wala.vru.ac.ir/article_23366_278253b8ba374cbd231b1cdf2dd51313.pdf
dx.doi.org/10.22072/wala.2017.23366
On higher rank numerical hulls of normal matrices
Golamreza
Aghamollaei
Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Islamic Republic of Iran
author
Sharifeh
Rezagholi
Department of Mathematics, Payame Noor University (PNU) ;Tehran; Islamic Republic of Iran.
author
text
article
2017
eng
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.
Wavelet and Linear Algebra
Vali-e-Asr university of Rafsanjan
2383-1936
4
v.
1
no.
2017
23
32
http://wala.vru.ac.ir/article_23367_ebbd946a37c2e6eee2b03af2d07bdd99.pdf
dx.doi.org/10.22072/wala.2017.47123.1080
A-B-imprimitivity bimodule frames
Azadeh
Alijani
Vali-e-Asr University of Rafsanjan
author
text
article
2017
eng
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.
Wavelet and Linear Algebra
Vali-e-Asr university of Rafsanjan
2383-1936
4
v.
1
no.
2017
33
41
http://wala.vru.ac.ir/article_25011_27d211d588301e528d336de1c9906af6.pdf
dx.doi.org/10.22072/wala.2017.47173.1081
Some results on the block numerical range
Mostafa
Zangiabadi
University of Hormozgan
author
Hamid Reza
Afshin
Vali-e-Asr University of Rafsanjan
author
text
article
2017
eng
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.
Wavelet and Linear Algebra
Vali-e-Asr university of Rafsanjan
2383-1936
4
v.
1
no.
2017
43
51
http://wala.vru.ac.ir/article_25012_c4ff34a31d45ccb5ef9f7bc71791f5b0.pdf
dx.doi.org/10.22072/wala.2017.51809.1088
Wavelet-based numerical method for solving fractional integro-differential equation with a weakly singular kernel
Fakhrodin
Mohammadi
Department of Mathematics‎, ‎University of ‎Hormozgan‎, ‎P‎. ‎O‎. ‎Box 3995‎, ‎Bandarabbas‎, ‎Iran
author
Armando
Ciancio
Department of Biomedical Sciences and Morphological and Functional Imaging‎,‎ University of Messina‎, ‎via Consolare Valeria 1‎, ‎98125 MESSINA‎, ‎Italy
author
text
article
2017
eng
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.
Wavelet and Linear Algebra
Vali-e-Asr university of Rafsanjan
2383-1936
4
v.
1
no.
2017
53
73
http://wala.vru.ac.ir/article_29387_eba4b5ca1c590ac187007f13d8603195.pdf
dx.doi.org/10.22072/wala.2017.52567.1091