Theorems · Definition · commutative algebra

PowerSeries.gaussNorm

{R : Type u_1} → [Semiring R] → (R → ℝ) → ℝ → PowerSeries R → ℝ

Given a power series f in, a function v : R → ℝ and a real number c, the Gauss norm is defined as the supremum of the set of all values of v (coeff t f) * c ^ t for all t : ℕ.

Defined in

Mathlib.RingTheory.PowerSeries.GaussNorm

Cited by

11 results in Mathlib

Foundations

Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

Semiring