Marzieh Hasannasab

activity

20162026

most citedParseval Proximal Neural Networks

50 citations · 114 across the 12 of their papers we have counts for

collaborators

21 papers

math.FA2026

The zero set of the Zak transform of B-splines with applications to Gabor frames

Marzieh Hasannasab, Jakob Lemvig

We study the zero sets of the Zak transform $Z_{λ} B_{n} (x, ν)$ of B-splines for $λ > 0$ . Specifically, we provide a full characterization of the zero set for the hat spline for all posit…

math.CA2026

Directional polynomial frames on spheres

Marzieh Hasannasab, Larissa Kaldewey, Frederic Schoppert

We introduce a general framework for the construction of polynomial frames in $L^{2} (S^{d - 1})$ , $d \geq 3$ , where the frame functions are obtained as rotated versions of an…

math.FA2023

The mystery of Carleson frames

Ole Christensen, Marzieh Hasannasab, Friedrich Philipp +1

In 2016 Aldroubi et al. constructed the first class of frames having the form ${T^{k} φ}_{k = 0}^{\infty}$ for a bounded linear operator on the underlying Hilbert space. In this paper w…

math.FA2021

A survey on frame representations via dynamical sampling

Ole Christensen, Marzieh Hasannasab

Dynamical sampling deals with representations of a frame ${f_{k}}_{k = 1}^{\infty}$ as an orbit ${T^{n} φ}_{n = 0}^{\infty}$ of a linear and possibly bounded operator $T$ acting on the…

math.FA2021

Approximately dual pairs of wavelet frames

Ana Benavente, Ole Christensen, Marzieh Hasannasab +3

This paper deals with structural issues concerning wavelet frames and their dual frames. It is known that there exist wavelet frames $\{a^{j/2}ψ( a^j\cdot -kb)\}_{j,k\in \mathbb Z}…

math.FA2021

Completion versus removal of redundancy by perturbation

Ole Christensen, Marzieh Hasannasab

A sequence ${g_{k}}_{k = 1}^{\infty}$ in a Hilbert space $H$ has the expansion property if each $f \in span {g_{k}}_{k = 1}^{\infty}$ has a representation $f= \sum_{k…

math.NA2021

Phase Retrieval and System Identification in Dynamical Sampling via Prony's Method

Robert Beinert, Marzieh Hasannasab

Phase retrieval in dynamical sampling is a novel research direction, where an unknown signal has to be recovered from the phaseless measurements with respect to a dynamical frame,…

math.FA2021

On approximate operator representations of sequences in Banach spaces

Ole Christensen, Marzieh Hasannasab, Gabriele Steidl

Generalizing results by Halperin et al., Grivaux recently showed that any linearly independent sequence ${f_{k}}_{k = 1}^{\infty}$ in a separable Banach space $X$ can be represented as…

math.NA2021

Phase Retrieval via Polarization in Dynamical Sampling

Robert Beinert, Marzieh Hasannasab

In this paper we consider the nonlinear inverse problem of phase retrieval in the context of dynamical sampling. Where phase retrieval deals with the recovery of signals & images f…

math.FA2020★ 2 cited

Continuous Wavelet Frames on the Sphere: The Group-Theoretic Approach Revisited

S. Dahlke, F. De Mari, E. De Vito +5

In \cite{AV99}, Antoine and Vandergheynst propose a group-theoretic approach to continuous wavelet frames on the sphere. The frame is constructed from a single so-called admissible…

math.NA2019★ 50 cited

Parseval Proximal Neural Networks

Marzieh Hasannasab, Johannes Hertrich, Sebastian Neumayer +3

The aim of this paper is twofold. First, we show that a certain concatenation of a proximity operator with an affine operator is again a proximity operator on a suitable Hilbert sp…

math.FA2019

Modular Riesz bases versus Riesz bases in Hilbert $C^{*}$ -Modules

Marzieh Hasannasab

In this paper, we give new characterizations of modular Riesz bases in Hilbert $C^{*}$ -modules. We prove that modular Riesz bases share many properties with Riesz bases in Hilbert sp…

math.FA2019

Approximate frame representations via iterated operator systems

Ole Christensen, Marzieh Hasannasab

It is known that it is a very restrictive condition for a frame ${f_{k}}_{k = 1}^{\infty}$ to have a representation ${T^{n} φ}_{n = 0}^{\infty}$ as the orbit of a bounded operator $T$ und…

math.ST2019★ 21 cited

Alternatives to the EM Algorithm for ML-Estimation of Location, Scatter Matrix and Degree of Freedom of the Student- $t$ Distribution

Marzieh Hasannasab, Johannes Hertrich, Friederike Laus +1

In this paper, we consider maximum likelihood estimations of the degree of freedom parameter $ν$ , the location parameter $μ$ and the scatter matrix $Σ$ of the multivariate Student-…

math.FA2018

Frame Properties of Operator Orbits

Ole Christensen, Marzieh Hasannasab, Friedrich Philipp

We consider sequences in a Hilbert space $H$ of the form $(T^{n} f_{0})_{n \in I},$ with a linear operator $T$ , the index set being either $I = N$ or $I = Z$ , a…

math.FA2018

Operator representations of sequences and dynamical sampling

Ole Christensen, Marzieh Hasannasab, Diana T. Stoeva

This paper is a contribution to the theory of dynamical sampling. Our purpose is twofold. We first consider representations of sequences in a Hilbert space in terms of iterated act…

math.FA2018

Dynamical sampling and frame representations with bounded operators

Ole Christensen, Marzieh Hasannasab, Ehsan Rashidi

The purpose of this paper is to study frames for a Hilbert space $H,$ having the form ${T^{n} φ}_{n = 0}^{\infty}$ for some $φ \in H$ and an operator $T: {\cal H} \to {\ca…

math.FA2017

Gabor frames in $ℓ^{2} (Z)$ and linear dependence

Ole Christensen, Marzieh Hasannasab

We prove that an overcomplete Gabor frame in $ℓ^{2} (Z)$ by a finitely supported sequence is always linearly dependent. This is a particular case of a general result about…

math.FA2017★ 3 cited

An open problem concerning operator representations of frames

Ole Christensen, Marzieh Hasannasab

Recent research has shown that the properties of overcomplete Gabor frames and frames arising from shift-invariant systems form a precise match with certain conditions that are nec…

math.FA2017★ 37 cited

Operator representations of frames: boundedness, duality, and stability

Ole Christensen, Marzieh Hasannasab

The purpose of the paper is to analyze frames ${f_{k}}_{k \in Z}$ having the form ${T^{k} f_{0}}_{k \in Z}$ for some linear operator $T: \mbox{span} \{f_k\}_{k\in \mathbf…

math.FA2016★ 1 cited

Explicit constructions and properties of generalized shift-invariant systems in $L^{2} (R)$

Ole Christensen, Marzieh Hasannasab, Jakob Lemvig

Generalized shift-invariant (GSI) systems, originally introduced by Hernández, Labate & Weiss and Ron & Shen, provide a common frame work for analysis of Gabor systems, wavelet sys…

The zero set of the Zak transform of B-splines with applications to Gabor frames

Directional polynomial frames on spheres

The mystery of Carleson frames

A survey on frame representations via dynamical sampling

Approximately dual pairs of wavelet frames

Completion versus removal of redundancy by perturbation

Phase Retrieval and System Identification in Dynamical Sampling via Prony's Method

On approximate operator representations of sequences in Banach spaces

Phase Retrieval via Polarization in Dynamical Sampling

Continuous Wavelet Frames on the Sphere: The Group-Theoretic Approach Revisited

Parseval Proximal Neural Networks

Modular Riesz bases versus Riesz bases in Hilbert C∗-Modules

Approximate frame representations via iterated operator systems

Alternatives to the EM Algorithm for ML-Estimation of Location, Scatter Matrix and Degree of Freedom of the Student-t Distribution

Frame Properties of Operator Orbits

Operator representations of sequences and dynamical sampling

Dynamical sampling and frame representations with bounded operators

Gabor frames in ℓ2(Z) and linear dependence

An open problem concerning operator representations of frames

Operator representations of frames: boundedness, duality, and stability

Explicit constructions and properties of generalized shift-invariant systems in L2(R)

Modular Riesz bases versus Riesz bases in Hilbert $C^{*}$ -Modules

Alternatives to the EM Algorithm for ML-Estimation of Location, Scatter Matrix and Degree of Freedom of the Student- $t$ Distribution

Gabor frames in $ℓ^{2} (Z)$ and linear dependence

Explicit constructions and properties of generalized shift-invariant systems in $L^{2} (R)$