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math.AP2026
Commutator calculus and symbolic differentiation of matrix functions
Michal Bathory
We propose a functional calculus which allows one to apply functions to the matrix anti-commutator/commutator operator. The calculus is introduced in a straightforward manner if th…
math.AP2025
Sharp nonlinear estimates for multiplying derivatives of positive definite tensor fields
Michal Bathory
The simple product formulae for derivatives of scalar functions raised to different powers are generalized for functions which take values in the set of symmetric positive definite…