Record link: 
http://hdl.handle.net/20.500.12708/139376
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Title: 
Sequence space representations for spaces of smooth functions and distributions via Wilson bases
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Citation: 
Bargetz, C., Debrouwere, A., & Nigsch, E. (2022). Sequence space representations for spaces of smooth functions and distributions via Wilson bases. Proceedings of the American Mathematical Society, 150(9), 3841–3852. https://doi.org/10.1090/proc/15895
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Publisher DOI: 
10.1090/proc/15895
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Publication Type: 
Article - Original Research Article
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Language: 
English
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Authors: 
Bargetz, Christian 
Debrouwere, Andreas 
Nigsch, Eduard 
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Organisational Unit: 
E101-01-1 - Forschungsgruppe Mathematische Analysis 
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Journal: 
Proceedings of the American Mathematical Society 
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ISSN: 
0002-9939
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Date (published): 
9-Sep-2022
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Number of Pages: 
12
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Publisher: 
AMER MATHEMATICAL SOC
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Peer reviewed: 
Yes
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Keywords: 
distribution spaces; sequence space representations; Test function spaces; Wilson bases
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Abstract: 
We provide explicit sequence space representations for the test function and distribution spaces occurring in the Valdivia-Vogt structure tables by making use of Wilson bases generated by compactly supported smooth windows. Furthermore, we show that these kind of bases are common unconditional Schauder bases for all separable spaces occurring in these tables. Our work implies that the Valdivia-Vogt structure tables for test functions and distributions may be interpreted as one large commutative diagram.
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Project title: 
Langzeitverhalten von kontinuierlichen dissipativen Systemen: F 6502-N36 (Fonds zur Förderung der wissenschaftlichen Forschung (FWF)) 
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Research Areas: 
Fundamental Mathematics Research: 100%
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Science Branch: 
1010 - Mathematik: 100%
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