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math.SP2026
Spectral projectors of bisectorial Clifford operators and applications to the generalized gradient
Francesco Mantovani, Peter Schlosser
We consider right-linear operators on a right Hilbert module over the Clifford algebra R_n, whose S-spectrum lies in an acute double sector. For these bisectorial operators…
math.FA2026
Nonlocal Fourier Laws for Heat Propagation via Fractional powers of Vector Operators
Fabrizio Colombo, Francesco Mantovani, Peter Schlosser
The present work is devoted to the study of fractional powers of vector operators, with particular emphasis on the gradient operator with non-constant coefficients. Within the sett…