An Exotic Minimal Banach Space of Functions
| العنوان: | An Exotic Minimal Banach Space of Functions |
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| المؤلفون: | Hans G. Feichtinger, Georg Zimmermann |
| المصدر: | Mathematische Nachrichten. :42-61 |
| بيانات النشر: | Wiley, 2002. |
| سنة النشر: | 2002 |
| مصطلحات موضوعية: | Discrete mathematics, Modulation space, Square-integrable function, General Mathematics, Banach space, Interpolation space, Besov space, Invariant (physics), Space (mathematics), Lp space, Mathematics |
| الوصف: | This note describes a new Banach space ℬ0 of square integrable functions on ℝd having many interesting invariance properties. In fact, the Fourier transform, time-frequency shifts, and L2-normalized dilations act isometrically on it. For its definition, we make use of a general construction principle for minimal invariant spaces. We demonstrate a variety of properties following immediately from this principle. Furthermore, we give a number of different characterizations, including various atomic decompositions, as well as natural necessary and sufficient conditions for an L2-function to belong to this new space. It turns out that this new space is somewhat exotic, since it is neither rearrangement invariant nor solid. |
| تدمد: | 1522-2616 0025-584X |
| الوصول الحر: | https://explore.openaire.eu/search/publication?articleId=doi_________::5b651ab9624e187b8d5d0002dcf941aeTest https://doi.org/10.1002/1522-2616Test(200206)239:1<42::aid-mana42>3.0.co;2-# |
| حقوق: | CLOSED |
| رقم الانضمام: | edsair.doi...........5b651ab9624e187b8d5d0002dcf941ae |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 15222616 0025584X |
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