2024 : 11 : 23
Asghar Rahimi

Asghar Rahimi

Academic rank: Professor
ORCID:
Education: PhD.
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Faculty: 1
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Research

Title
A note on phase (norm) retrievable Real Hilbert space fusion frames
Type
JournalPaper
Keywords
Fusion frame, Phase retrieval, Norm retrieval.
Year
2023
Journal International Journal of Wavelets Multiresolution and Information Processing
DOI
Researchers Peter G. Casazza ، Fateh Akrami ، Asghar Rahimi

Abstract

In this manuscript, we will present several new results in finite and countable dimensional separable real Hilbert space phase retrieval and norm retrieval by fusion frames. We will characterize of norm retrieval for fusion frames similar norm retrieval for vectors and we will show that only one direction holds for fusion frames. Similar vector case we will show that every tight fusion frame can do norm retrieval. Also we will show that the unitary operators preserve phase (norm) retrievability of fusion frames. We will make a detailed study of when hyperplanes do norm retrieval and show a general result about it. We will provide numerous examples to show that our results are best possible.