J. Cheshmavar

activity

20162026

collaborators

9 papers

math.FA2026

Adaptive resolution frames: A multilevel framework in Hilbert spaces

Jahangir Cheshmavar

We introduce adaptive resolution frames (AR-frames), a class of weighted frames equipped with a partitioned index structure that models multiple resolution levels in Hilbert spaces…

math.FA2025

Frame properties induced by iteration of a multiplication operator on Hardy spaces

Jahangir Cheshmavar

Motivated by the study of frame properties arising from iterates of linear operators, it was previously established that the multiplication operator $T_{ϕ} x (t) = ϕ (t) x (t)$ cannot gen…

math.FA2023

On abstract results of operator representation of frames in Hilbert spaces

Jahangir Cheshmavar, Ayyaneh Dallaki, Javad Baradaran

In this paper, we give a multiplication operator representation of bounded self-adjoint operators T on a Hilbert space H such that -- is a frame for H, for some -- . We state a nec…

math.FA2022

Study on operator representation of frames in Hilbert spaces

Jahangir Cheshmavar, Ayyaneh Dallaki

The purpose of this paper is to give an overview of the operator structure of frames, where the operator belongs to certain classes of linear operators and the element belongs to $…

math.FA2020

Continuous $K$ - $g$ -frames in Hilbert $C^{*}$ -modules

Jahangir Cheshmavar, Javad Baradaran, Asadollah Hossienpour

This study aims at combining the concepts of $g$ -frame and $K$ -frame for a Hilbert $C^{*}$ -module $U$ , for an operator $K \in E n d_{A}^{*} (U)$ , where $E n d_{A}^{*} (U)$ contains all adjointable…

math.FA2018

K-g-frames and approximate K-g-duals in Hilbert spaces

Jahangir Cheshmavar, Maryam Rezaei Sarkhaei

Approximate duality of frame pairs have been investigated by Christensen and Laugesen in (Sampl. Theory Signal Image Process., 9, 2011, 77-90), with the motivation to obtain an imp…

math.FA2018

Viewing *-multiplication operators between Orlics spaces

Jahangir Cheshmavar, Seyed Kamel Hosseini

In this paper, Lambert multipliers acting between Orlicz spaces are characterized based on conditional expectation operators. Also, we give necessary and sufficient conditions to *…

math.FA2016

A classification of anisotropic Besov spaces

Jahangir Cheshmavar, Hartmut Führ

We study (homogeneous and inhomogeneous) anisotropic Besov spaces associated to expansive dilation matrices $A \in GL (d, R)$ , with the goal of clarifying when two suc…