In p-adic case, Schwart function is the function which has compact support and locally constant. But can we say its uniform continuity from this?
I think it would not be true, but I am not certain with great convince.
Would you let me know this?
2026-03-26 17:51:28.1774547488
Is the p-adic Schwartz function uniform continuous?
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Locally constant implies continuous, and continuous and compact support implies uniform continuity.