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- Research Institute for Astronomy and Astrophysics of MaraghIR63 papers
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5 papers · 1 filter
A fresh look into monoid rings and formal power series rings
Abolfazl Tarizadeh
In this article, the ring of polynomials is studied in a systematic way through the theory of monoid rings. As a consequence, this study provides natural and canonical approaches i…
Finite equal norm Parseval Wavelet Frames over Prime Fields
Asghar Rahimi, Niloufar Seddighi
In the framework of wave packet analysis, finite wavelet systems are particular classes of finite wave packet systems. In this paper, using a scaling matrix on a permuted version o…
On Controlled Frames in Hilbert -modules
Mehdi Rashidi-Kouchi, Asghar Rahimi
In this paper, we introduce controlled frames in Hilbert -modules and we show that they share many useful properties with their corresponding notions in Hilbert space. Next, w…
A Constructive Approach to the Finite Wavelet Frames over Prime Fields
Asghar Rahimi, Niloufar Seddighi
In this article, we present a constructive method for computing the frame coefficients of finite wavelet frames over prime fields using tools from computational harmonic analysis a…
On the facet ideal of an expanded simplicial complex
Somayeh Moradi, Rahim Rahmati-Asghar
For a simplicial complex , the affect of the expansion functor on combinatorial properties of and algebraic properties of its Stanley-Reisner ring has been studied in some p…