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20092018
most citedAn invariant analytic orthonormalization procedure with applications

6 citations · 11 across the 6 of their papers we have counts for

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6 papers

math.FA2018

Invertibility of Multipliers for Continuous G-frames

Yavar Khedmati, Mohammad Reza Abdollahpour

In this paper we study the concept of multipliers for continuous -Bessel families in Hilbert spaces. We present necessary conditions for invertibility of multipliers for continu…

math.FA2018

Disjointness of continuous g-frames and Riesz-type continuous g-frames

Yavar Khedmati, Mohammad Reza Abdollahpour

In this paper we introduce concepts of disjoint, strongly disjoint and weakly disjoint continuous -frames in Hilbert spaces and we get some equivalent conditions to these notion…

math.FA2015

Multipliers of pg-Bessel sequences in Banach spaces

M. R. Abdollahpour, A. Najati, P. Gavruta

In this paper, we introduce (p,q)g-Bessel multipliers in Banach spaces and we show that under some conditions a (p,q)g-Bessel multiplier is invertible. Also, we show the continuous…

math.FA2012

More sums of Hilbert frames

A. Najati, M. R. Abdollahpour, E. Osgooei +1

In this paper we have some new results on sums of Hilbert space frames and Riesz bases. We also have a correction for some results in "S. Obeidat et al., Sums of Hilbert space fram…

math-ph2010★ 5 cited

On some properties of g-frames and g-coherent states

Mohammad Reza Abdollahpour, Fabio Bagarello

After a short review of some basic facts on g-frames, we analyze in details the so-called (alternate) dual g-frames. We end the paper by introducing what we call {\em g-coherent st…

math-ph2009★ 6 cited

An invariant analytic orthonormalization procedure with applications

F. Bagarello, M. R. Abdollahpour, S. Triolo

We apply the orthonormalization procedure previously introduced by two of us and adopted in connection with coherent states to Gabor frames and other examples. For instance, for Ga…