Sequence Space Representations for Translation-Modulation Invariant Function and Distribution Spaces

We provide sequence space representations for the test function space D E and the distribution space D E ′ associated to a Banach space E belonging to a broad class of translation-modulation invariant Banach spaces of distributions. The spaces D E and D E ′ generalize the classical Schwartz spaces D...

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Veröffentlicht in:	The Journal of fourier analysis and applications 2022-12, Vol.28 (6), Article 87
Hauptverfasser:	Debrouwere, Andreas, Neyt, Lenny
Format:	Artikel
Sprache:	eng
Schlagworte:	Abstract Harmonic Analysis Approximations and Expansions Banach spaces Fourier Analysis Function space Invariants Mathematical Methods in Physics Mathematics Mathematics and Statistics Modulation Partial Differential Equations Representations Signal,Image and Speech Processing
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