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math.GM2019
Generalisations of the determinant to interdimensional transformations: a review
Abhimanyu Pallavi Sudhir
Significant research has been carried out in the past half-century on defining generalised determinants for transformations between (typically real) vector spaces of different dime…
math.GM2019
Infinitesimal translations and a multivariate Grunwald-Letnikov calclulus
Abhimanyu Pallavi Sudhir
The goal of this paper is to construct a multivariate generalisation of the Grunwald-Letnikov derivative, a classical fractional derivative operator. To do so, we first produce a f…