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Apr 3, 2019 at 21:44 comment added MCS I'm particularly interested in analogues of certain features of the theory of analytic functions on $\mathbb{C}_{p}$, particularly the Shnirelman Integral formula, and a maximum-modulus property. Results about critical radii of power series would also be nice.
Apr 3, 2019 at 20:04 comment added KConrad What is it you expect to see done when looking at "calculus over a function field"? Note that Laurent series over a finite field will be locally compact, while the x-adic topology of K((x)) is never locally compact if K is infinite (as all fields of characteristic 0 are). You might want to look up higher-dimensional local fields.
Apr 3, 2019 at 19:42 history asked MCS CC BY-SA 4.0