3 papers
math.FA2019
Frame measures for infinitely many measures
Fariba Zeinal Zadeh Farhadi, Mohammad Sadegh Asgari, Mohammad Reza Mardanbeigi
For every frame spectral measure , there exists a discrete measure as a frame measure. Since if is not a frame spectral measure, then there is not any general stateme…
math.FA2019
The effect of perturbations of frames on their alternate and approximately dual frames
M. Hajiabootorabi, H. Javanshiri, M. R. Mardanbeigi
Approximately dual frames as a generalization of duality notion in Hilbert spaces have applications in Gabor systems, wavelets, coorbit theory and sensor modeling. In recent years,…
math.FA2019
Generalized Bessel and Frame Measures
Fariba Zeinal Zadeh Farhadi, Mohammad Sadegh Asgari, Mohammad Reza Mardanbeigi +1
Considering a finite Borel measure on , a pair of conjugate exponents , and a compatible semi-inner product on , we introduce -Besse…