Benjamin Faktor

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20212026

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math.CV2022

On the Cauchy transform of complex powers of the identity function

Benjamin Faktor, Michael Kuhn, Gahl Shemy

The integral $\int_{∣ z ∣ = 1} \frac{z ^{β}}{z - α} d z$ for $β = \frac{1}{2}$ has been comprehensively studied by Mortini and Rupp for pedagogical purposes. We write for a similar purpose, el…

math.RA2022

Linear maps preserving the Lorentz spectrum of $3 \times 3$ matrices

M. I. Bueno, Ben Faktor, Rhea Kommerell +2

For a given $3 \times 3$ real matrix $A$ , the eigenvalue complementarity problem relative to the Lorentz cone consists of finding a real number $λ$ and a nonzero vector $x \in \mat…

On the Cauchy transform of complex powers of the identity function

Linear maps preserving the Lorentz spectrum of 3×3 matrices

Linear maps preserving the Lorentz spectrum of $3 \times 3$ matrices