Non-isometric translation and modulation invariant Hilbert spaces 2025 (English)In: Journal of Mathematical Analysis and Applications, ISSN 0022-247X, E-ISSN 1096-0813, Vol. 550, no 1, article id 129530Article in journal (Refereed) Published

Abstract [en]

Let H be a Hilbert space, continuously embedded in S'(R^d), and which contains at least one non-zero element in S'(R^d). If there is a constant C₀ > 0 such that ||e^{i❮· ,ε❯} f ( ·  -x)||_H ≤ C₀||f||_H, f ∈ H, x, ε ∈ R^d, then we prove that H = L²(R^d), with equivalent norms.

Place, publisher, year, edition, pages

Elsevier, 2025. Vol. 550, no 1, article id 129530

Keywords [en]

Modulation spaces, Feichtinger's minimization principle

National Category

Mathematical Analysis

Research subject

Natural Science, Mathematics

Identifiers

URN: urn:nbn:se:lnu:diva-138121DOI: 10.1016/j.jmaa.2025.129530ISI: 001464358800001Scopus ID: 2-s2.0-105001598319OAI: oai:DiVA.org:lnu-138121DiVA, id: diva2:1953388

Available from: 2025-04-22 Created: 2025-04-22 Last updated: 2025-05-05Bibliographically approved

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Toft, Joachim

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Department of Mathematics

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