@article {
author = {Raisi Tousi, Reihaneh and Kamyabi Gol, Rajab Ali and Avazzadeh, Hosein},
title = {On a New G-Frame and Duality},
journal = {Wavelet and Linear Algebra},
volume = {5},
number = {1},
pages = {1-9},
year = {2018},
publisher = {Vali-e-Asr university of Rafsanjan},
issn = {2383-1936},
eissn = {2476-3926},
doi = {10.22072/wala.2017.51870.1089},
abstract = {We introduce a new g-frame (singleton g-frame), g-orthonormal basis and g-Riesz basis and study corresponding notions in some other generalizations of frames.Also, we investigate duality for some kinds of g-frames. Finally, we illustrate an example which provides a suitable translation from discrete frames to Sun's g-frames.},
keywords = {Singleton g-frame operator,Dual of a singleton g-frame,Singleton g-Riesz basis,Singleton g-orthonormal basis},
url = {http://wala.vru.ac.ir/article_26091.html},
eprint = {http://wala.vru.ac.ir/article_26091_28688f4eb210f2627bfedfc3f1f7ebd4.pdf}
}
@article {
author = {Aminkhah, Mojgan and Askari Hemmat, Ataollah and Raisi Tousi, Reihaneh},
title = {A Necessary Condition for a Shearlet System to be a Frame via Admissibility},
journal = {Wavelet and Linear Algebra},
volume = {5},
number = {1},
pages = {11-26},
year = {2018},
publisher = {Vali-e-Asr university of Rafsanjan},
issn = {2383-1936},
eissn = {2476-3926},
doi = {10.22072/wala.2017.59948.1105},
abstract = { Necessary conditions for shearlet and cone-adapted shearlet systems to be frames are presented with respect to the admissibility condition of generators.},
keywords = {Shearlet system,Cone-adapted shearlet system,Shearlet frame,Admissibility condition},
url = {http://wala.vru.ac.ir/article_26093.html},
eprint = {http://wala.vru.ac.ir/article_26093_1c44ed44bbe35144754ecb1a18a258e0.pdf}
}
@article {
author = {Fereydooni, Abolhassan and Safapour, Ahmad},
title = {Banach Pair Frames},
journal = {Wavelet and Linear Algebra},
volume = {5},
number = {1},
pages = {27-47},
year = {2018},
publisher = {Vali-e-Asr university of Rafsanjan},
issn = {2383-1936},
eissn = {2476-3926},
doi = {10.22072/wala.2017.60236.1107},
abstract = {In this article, we consider pair frames in Banach spaces and introduce Banach pair frames. Some various concepts in the frame theory such as frames, Schauder frames, Banach frames and atomic decompositions are considered as special kinds of (Banach) pair frames. Some frame-like inequalities for (Banach) pair frames are presented. The elements that participant in the construction of (Banach) pair frames are characterized. It is shown that a Banach space $\mathrm{X}$ has a Banach pair frame with respect to a Banach scalar sequence space $\ell$, when it is precisely isomorphic to a complemented subspace of $\ell$. It is shown that if we are allowed to choose the scalar sequence space, pair frames and Banach pair frames with respect to the chosen scalar sequence space denote the same concept.},
keywords = {Banach frame,Atomic decomposition,(Banach)pair frame,(Banach)pair Bessel},
url = {http://wala.vru.ac.ir/article_26094.html},
eprint = {http://wala.vru.ac.ir/article_26094_0c0d148484fcc5a150633b2e99bc2cc9.pdf}
}
@article {
author = {Sattarzadeh, Ali Reza and Mohebi, Hossein},
title = {Some Results on Convex Spectral Functions: I},
journal = {Wavelet and Linear Algebra},
volume = {5},
number = {1},
pages = {49-56},
year = {2018},
publisher = {Vali-e-Asr university of Rafsanjan},
issn = {2383-1936},
eissn = {2476-3926},
doi = {10.22072/wala.2017.66630.1123},
abstract = {In this paper, we give a fundamental convexity preserving for spectral functions. Indeed, we investigate infimal convolution, Moreau envelope and proximal average for convex spectral functions, and show that this properties are inherited from the properties of its corresponding convex function. This results have many applications in Applied Mathematics such as semi-definite programmings and engineering problems.},
keywords = {Spectral function,Proximal average,Moreau envelope,Infimal convolution},
url = {http://wala.vru.ac.ir/article_29390.html},
eprint = {http://wala.vru.ac.ir/article_29390_8fbfacedf5f697bbe26f048cf0b44053.pdf}
}
@article {
author = {Fatemidokht, Mahdieh and Askari Hemmat, Ataollah},
title = {p-adic Shearlets},
journal = {Wavelet and Linear Algebra},
volume = {5},
number = {1},
pages = {57-71},
year = {2018},
publisher = {Vali-e-Asr university of Rafsanjan},
issn = {2383-1936},
eissn = {2476-3926},
doi = {10.22072/wala.2017.61717.1112},
abstract = {The field $Q_{p}$ of $p$-adic numbers is defined as the completion of the field of the rational numbers $Q$ with respect to the $p$-adic norm $|.|_{p}$. In this paper, we study the continuous and discrete $p-$adic shearlet systems on $L^{2}(Q_{p}^{2})$. We also suggest discrete $p-$adic shearlet frames. Several examples are provided.},
keywords = {Fourier transform,continuous p-adic shearlet transform,p-adic shearlet system},
url = {http://wala.vru.ac.ir/article_29394.html},
eprint = {http://wala.vru.ac.ir/article_29394_53c2ff2b53834194d66fb0fe56531761.pdf}
}
@article {
author = {Afshin, Hamid Reza and Shojaeifard, Ali Reza},
title = {The Sign-Real Spectral Radius for Real Tensors},
journal = {Wavelet and Linear Algebra},
volume = {5},
number = {1},
pages = {73-87},
year = {2018},
publisher = {Vali-e-Asr university of Rafsanjan},
issn = {2383-1936},
eissn = {2476-3926},
doi = {10.22072/wala.2018.71992.1134},
abstract = {In this paper a new quantity for real tensors, the sign-real spectral radius, is defined and investigated. Various characterizations, bounds and some properties are derived. In certain aspects our quantity shows similar behavior to the spectral radius of a nonnegative tensor. In fact, we generalize the Perron Frobenius theorem for nonnegative tensors to the class of real tensors.},
keywords = {Higher order tensor,Nonnegative tensor,Perron Frobenius theorem},
url = {http://wala.vru.ac.ir/article_31755.html},
eprint = {http://wala.vru.ac.ir/article_31755_fdd95296e0cd5cd23bf0aa5f70fe3882.pdf}
}