Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Continuous Non-Archimedean and p-adic Welch Bounds

Version 1 : Received: 10 September 2022 / Approved: 12 September 2022 / Online: 12 September 2022 (09:51:28 CEST)

How to cite: Krishna, K.M. Continuous Non-Archimedean and p-adic Welch Bounds. Preprints 2022, 2022090142. https://doi.org/10.20944/preprints202209.0142.v1 Krishna, K.M. Continuous Non-Archimedean and p-adic Welch Bounds. Preprints 2022, 2022090142. https://doi.org/10.20944/preprints202209.0142.v1

Abstract

We prove the continuous non-Archimedean (resp. p-adic) Banach space and Hilbert space versions of non-Archimedean (resp. p-adic) Welch bounds proved by M. Krishna. We formulate continuous non-Archimedean and p-adic functional Zauner conjectures.

Keywords

Non-Archimedean valued field; Non-Archimedean Banach space; p-adic number field; p-adic Banach space; Welch bound; Zauner conjecture

Subject

Computer Science and Mathematics, Analysis

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