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On continuous endomorphisms of Mikusinski's operator field

โœ Scribed by A. Bleyer


Publisher
Akadmiai Kiad
Year
1970
Tongue
English
Weight
478 KB
Volume
21
Category
Article
ISSN
1588-2632

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๐Ÿ“œ SIMILAR VOLUMES


Hyperdifferential Operators and Continuo
โœ Sangtae Jeong ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 142 KB

We prove that a sequence of hyperdifferential operators is an orthonormal basis of the space of continuous F q -linear functions on F q [[T ]]. By Conrad's digit principle, the q-adic extensions of this sequence, called the digit derivatives, turn out to be an orthonormal basis of the whole space of