Neumann resolvent for K=c const: R = c/(1-λc), Σ geometric exact

Layer 0 — Mathematicsin the integral-equations subtree

Exact closed-form resolvent for the simplest non-trivial Fredholm kernel K(x, y) ≡ c (constant) on [0, 1]. Iterated kernels: K¹(x, y) = c; K²(x, y) = ∫_0^1 c·c dz = c²; by induction Kⁿ(x, y) = cⁿ. Resolvent R(x, y; λ) = Σ_{n=1}^∞…

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