Abstract
We prove that a sequence of hyperdifferential operators is an orthonormal basis of the space of continuous Fq-linear functions on Fq[[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 continuous functions on Fq[[T]]. We then give the explicit derivation of the formula for digit derivative coefficients.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
