We determine explicitly the formal moduli space of certain complete topological modules over a topologically finitely generated local k-algebra R, not necessarily commutative, where k is a field. The class of topological modules we consider include all those of finite rank over k and some of infinite rank as well, namely those with a Schauder basis in the sense of §1. This generalizes the resul...

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and Applied Analysis 3 radius δ ∈ 0, 1/2 . For φ, ε∗, ε 0 < ε∗ < ε, φ1 < φ − ε < φ − ε∗ < φ ε∗ < φ ε < φ2 , and R > R∗ > 2, we have ( q − 2)S(Ω(φ − ε∗, φ ε∗), R∗,W) n ( Ω ( φ − ε, φ ε), R, ̃ Rz ) q ∑ j 1 n ( Ω ( φ − ε, φ ε), R,W aj ) 256vπ24 lnR δ38 ε − ε∗ lnR − lnR∗ ( q − 2)S ( Ω ( φ − ε∗, φ ε∗, 1 R∗ ,W ))