most citedSingularities of Fredholm maps with one-dimensional kernels, II: Local behaviour and pointwise conditions

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math.FA2014★ 1 cited

Singularities of Fredholm maps with one-dimensional kernels, II: Local behaviour and pointwise conditions

Ferrante Balboni, Flavio Donati

In analogy to what happens in finite dimensions we state the Normal Form Theorem for k-singularities, introduced in the previous paper of the series. By means of that we study the…

math.FA2014

Singularities of Fredholm maps with one-dimensional kernels, I: A complete classification

Ferrante Balboni, Flavio Donati

We study the simplest singular points of Fredholm maps of index zero between Banach spaces, i.e. when the kernel of the Frechet derivative of the map has dimension one. Even in thi…