Work

Generalized norm retrieval and generalized phase retrieval in Hilbert spaces

Year: 2026

Type: preprint

Abstract: In this paper, we introduce generalized phase retrieval (briefly, g-phase retrieval) and generalized norm retrieval (briefly, g-norm retrieval). Then, we present some properties of these concepts in Hilbert spaces, with special emphasis on R^n. Finally, the stability of g-norm retrieval for R^n is proved.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2606.12593

Authors: Rahimlou, Gholamreza, Sadri, Vahid

Institution: Technical and Vocational University

Topic: Mathematical Analysis and Transform Methods

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7164518147

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