Non-isometric translation and modulation invariant Hilbert spaces
- Author
- P.K. Ratnakumar, Joachim Toft and Jasson Vindas Diaz (UGent)
- Organization
- Project
- Abstract
- 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 C-0 > 0 such that ||e(i <<middle dot> ,xi >)f ( <middle dot> -x)||(H) < C-0||f||(H), f is an element of H, x, xi is an element of R-d, then we prove that H = L-2(R-d), with equivalent norms.
- Keywords
- Modulation spaces, Feichtinger’s minimization principle, Hilbert spaces, harmonic analysis, ANALYTIC-FUNCTIONS
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-01JQYH6RNR6EM36HDZX10QNJYK
- MLA
- Ratnakumar, P. K., et al. “Non-Isometric Translation and Modulation Invariant Hilbert Spaces.” JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol. 550, no. 1, 2025, doi:10.1016/j.jmaa.2025.129530.
- APA
- Ratnakumar, P. K., Toft, J., & Vindas Diaz, J. (2025). Non-isometric translation and modulation invariant Hilbert spaces. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 550(1). https://doi.org/10.1016/j.jmaa.2025.129530
- Chicago author-date
- Ratnakumar, P.K., Joachim Toft, and Jasson Vindas Diaz. 2025. “Non-Isometric Translation and Modulation Invariant Hilbert Spaces.” JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 550 (1). https://doi.org/10.1016/j.jmaa.2025.129530.
- Chicago author-date (all authors)
- Ratnakumar, P.K., Joachim Toft, and Jasson Vindas Diaz. 2025. “Non-Isometric Translation and Modulation Invariant Hilbert Spaces.” JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 550 (1). doi:10.1016/j.jmaa.2025.129530.
- Vancouver
- 1.Ratnakumar PK, Toft J, Vindas Diaz J. Non-isometric translation and modulation invariant Hilbert spaces. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 2025;550(1).
- IEEE
- [1]P. K. Ratnakumar, J. Toft, and J. Vindas Diaz, “Non-isometric translation and modulation invariant Hilbert spaces,” JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol. 550, no. 1, 2025.
@article{01JQYH6RNR6EM36HDZX10QNJYK,
abstract = {{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 C-0 > 0 such that ||e(i <<middle dot> ,xi >)f ( <middle dot> -x)||(H) < C-0||f||(H), f is an element of H, x, xi is an element of R-d, then we prove that H = L-2(R-d), with equivalent norms.}},
articleno = {{129530}},
author = {{Ratnakumar, P.K. and Toft, Joachim and Vindas Diaz, Jasson}},
issn = {{0022-247X}},
journal = {{JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS}},
keywords = {{Modulation spaces,Feichtinger’s minimization principle,Hilbert spaces,harmonic analysis,ANALYTIC-FUNCTIONS}},
language = {{eng}},
number = {{1}},
pages = {{13}},
title = {{Non-isometric translation and modulation invariant Hilbert spaces}},
url = {{http://doi.org/10.1016/j.jmaa.2025.129530}},
volume = {{550}},
year = {{2025}},
}
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