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math.GM2003★ 2 cited
Implicit Functions from Topological Vector Spaces to Banach Spaces
Helge Glockner
We prove implicit function theorems for mappings on topological vector spaces over valued fields. In the real and complex cases, we obtain implicit function theorems for mappings f…
math.GM2003★ 6 cited
Differential Calculus, Manifolds and Lie Groups over Arbitrary Infinite Fields
Wolfgang Bertram, Helge Glockner, Karl-Hermann Neeb
We present an axiomatic approach to finite- and infinite-dimensional differential calculus over arbitrary infinite fields (and, more generally, suitable rings). The corresponding b…