On the uniqueness of representation by linear superpositions
Let $Q$ be a set such that every function on $Q$ can be represented by linear superpositions. This representation is, in general, not unique. However, for some sets, it may be unique provided that the initial values of the representing functions are prescribed at some point of $Q$. We study the prop...
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| Дата: | 2016 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2016
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/1948 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | Let $Q$ be a set such that every function on $Q$ can be represented by linear superpositions. This representation is, in general,
not unique. However, for some sets, it may be unique provided that the initial values of the representing functions are
prescribed at some point of $Q$. We study the properties of these sets. |
|---|