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arxiv: 2606.12593 · v1 · pith:56HSWHFWnew · submitted 2026-06-10 · 🧮 math.FA

Generalized norm retrieval and generalized phase retrieval in Hilbert spaces

classification 🧮 math.FA
keywords retrievalgeneralizedbrieflyg-normhilbertnormphasespaces
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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.

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