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arXiv · 1911.11083

Representation formulae for the determinant in a neighborhood of the identity

Abstract

We prove an integral representation and a power series expansion for the function $\det(A)^{-1}$ in a small neighborhood of the identity matrix. Both results are closely linked to the formula for the change of coordinates of the Dirac delta distribution in $\mathbb{R}^m$.

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Denis Constales, Alí Guzmán Adán. 2019-11-25. Representation formulae for the determinant in a neighborhood of the identity. https://arxiv.org/abs/1911.11083

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